Fractional-Order Model Reference Adaptive Controllers for First-Order Integer Plants View Full Text


Ontology type: schema:Chapter     


Chapter Info

DATE

2018

AUTHORS

Manuel A. Duarte-Mermoud , Norelys Aguila-Camacho , Javier A. Gallegos , Juan C. Travieso-Torres

ABSTRACT

In this chapter, we extend the ideas of the model reference adaptive control (MRAC), developed for integer-order plants with integer-order adaptive laws, to the case of integer-order plants but with fractional-order adaptive laws. Two cases are analyzed in detail; the direct MRAC (DMRAC) and the combined MRAC (CMRAC). In both cases, boundedness of all the signals in the resultant adaptive scheme is theoretically proved and a discussion on the error, and parameter convergence is provided in each case. The study is performed for scalar first-order time-invariant plants, since extensions to the vector case are currently under investigation. More... »

PAGES

121-151

References to SciGraph publications

Book

TITLE

New Perspectives and Applications of Modern Control Theory

ISBN

978-3-319-62463-1
978-3-319-62464-8

Identifiers

URI

http://scigraph.springernature.com/pub.10.1007/978-3-319-62464-8_6

DOI

http://dx.doi.org/10.1007/978-3-319-62464-8_6

DIMENSIONS

https://app.dimensions.ai/details/publication/pub.1091993564


Indexing Status Check whether this publication has been indexed by Scopus and Web Of Science using the SN Indexing Status Tool
Incoming Citations Browse incoming citations for this publication using opencitations.net

JSON-LD is the canonical representation for SciGraph data.

TIP: You can open this SciGraph record using an external JSON-LD service: JSON-LD Playground Google SDTT

[
  {
    "@context": "https://springernature.github.io/scigraph/jsonld/sgcontext.json", 
    "about": [
      {
        "id": "http://purl.org/au-research/vocabulary/anzsrc-for/2008/0607", 
        "inDefinedTermSet": "http://purl.org/au-research/vocabulary/anzsrc-for/2008/", 
        "name": "Plant Biology", 
        "type": "DefinedTerm"
      }, 
      {
        "id": "http://purl.org/au-research/vocabulary/anzsrc-for/2008/06", 
        "inDefinedTermSet": "http://purl.org/au-research/vocabulary/anzsrc-for/2008/", 
        "name": "Biological Sciences", 
        "type": "DefinedTerm"
      }
    ], 
    "author": [
      {
        "affiliation": {
          "alternateName": "University of Chile", 
          "id": "https://www.grid.ac/institutes/grid.443909.3", 
          "name": [
            "University of Chile"
          ], 
          "type": "Organization"
        }, 
        "familyName": "Duarte-Mermoud", 
        "givenName": "Manuel A.", 
        "id": "sg:person.013573455233.46", 
        "sameAs": [
          "https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.013573455233.46"
        ], 
        "type": "Person"
      }, 
      {
        "affiliation": {
          "alternateName": "University of Chile", 
          "id": "https://www.grid.ac/institutes/grid.443909.3", 
          "name": [
            "University of Chile"
          ], 
          "type": "Organization"
        }, 
        "familyName": "Aguila-Camacho", 
        "givenName": "Norelys", 
        "id": "sg:person.0750227650.80", 
        "sameAs": [
          "https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.0750227650.80"
        ], 
        "type": "Person"
      }, 
      {
        "affiliation": {
          "alternateName": "University of Chile", 
          "id": "https://www.grid.ac/institutes/grid.443909.3", 
          "name": [
            "University of Chile"
          ], 
          "type": "Organization"
        }, 
        "familyName": "Gallegos", 
        "givenName": "Javier A.", 
        "id": "sg:person.01103101716.49", 
        "sameAs": [
          "https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.01103101716.49"
        ], 
        "type": "Person"
      }, 
      {
        "affiliation": {
          "alternateName": "University of Santiago Chile", 
          "id": "https://www.grid.ac/institutes/grid.412179.8", 
          "name": [
            "University of Santiago de Chile"
          ], 
          "type": "Organization"
        }, 
        "familyName": "Travieso-Torres", 
        "givenName": "Juan C.", 
        "id": "sg:person.015530410407.44", 
        "sameAs": [
          "https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.015530410407.44"
        ], 
        "type": "Person"
      }
    ], 
    "citation": [
      {
        "id": "https://doi.org/10.1080/00207178708933715", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1000336011"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1016/j.cam.2015.11.008", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1005267835"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1016/j.cnsns.2014.10.008", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1017835224"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "sg:pub.10.1023/a:1016504620249", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1024535294", 
          "https://doi.org/10.1023/a:1016504620249"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1016/j.cnsns.2014.01.022", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1027197928"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1016/j.isatra.2015.11.013", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1028193594"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1016/j.isatra.2013.06.005", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1029416275"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "sg:pub.10.1134/s0012266110050058", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1029578198", 
          "https://doi.org/10.1134/s0012266110050058"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1177/1077546307087434", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1029780139"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1177/1077546307087434", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1029780139"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1002/acs.4480030106", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1039755178"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1006/jmaa.2000.7194", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1044075268"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1109/9.35278", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1061244256"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1109/tac.1980.1102362", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1061472888"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1109/tac.1980.1102363", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1061472889"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1109/tac.1980.1102364", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1061472890"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1109/tac.1980.1102365", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1061472891"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1121/1.399905", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1062351197"
        ], 
        "type": "CreativeWork"
      }
    ], 
    "datePublished": "2018", 
    "datePublishedReg": "2018-01-01", 
    "description": "In this chapter, we extend the ideas of the model reference adaptive control (MRAC), developed for integer-order plants with integer-order adaptive laws, to the case of integer-order plants but with fractional-order adaptive laws. Two cases are analyzed in detail; the direct MRAC (DMRAC) and the combined MRAC (CMRAC). In both cases, boundedness of all the signals in the resultant adaptive scheme is theoretically proved and a discussion on the error, and parameter convergence is provided in each case. The study is performed for scalar first-order time-invariant plants, since extensions to the vector case are currently under investigation.", 
    "editor": [
      {
        "familyName": "Clempner", 
        "givenName": "Julio B.", 
        "type": "Person"
      }, 
      {
        "familyName": "Yu", 
        "givenName": "Wen", 
        "type": "Person"
      }
    ], 
    "genre": "chapter", 
    "id": "sg:pub.10.1007/978-3-319-62464-8_6", 
    "inLanguage": [
      "en"
    ], 
    "isAccessibleForFree": false, 
    "isPartOf": {
      "isbn": [
        "978-3-319-62463-1", 
        "978-3-319-62464-8"
      ], 
      "name": "New Perspectives and Applications of Modern Control Theory", 
      "type": "Book"
    }, 
    "name": "Fractional-Order Model Reference Adaptive Controllers for First-Order Integer Plants", 
    "pagination": "121-151", 
    "productId": [
      {
        "name": "doi", 
        "type": "PropertyValue", 
        "value": [
          "10.1007/978-3-319-62464-8_6"
        ]
      }, 
      {
        "name": "readcube_id", 
        "type": "PropertyValue", 
        "value": [
          "8e6948591c62d0643daa8d43ca4dfce7e98c4bf83dba0a1c311068c6f853c4c3"
        ]
      }, 
      {
        "name": "dimensions_id", 
        "type": "PropertyValue", 
        "value": [
          "pub.1091993564"
        ]
      }
    ], 
    "publisher": {
      "location": "Cham", 
      "name": "Springer International Publishing", 
      "type": "Organisation"
    }, 
    "sameAs": [
      "https://doi.org/10.1007/978-3-319-62464-8_6", 
      "https://app.dimensions.ai/details/publication/pub.1091993564"
    ], 
    "sdDataset": "chapters", 
    "sdDatePublished": "2019-04-15T21:05", 
    "sdLicense": "https://scigraph.springernature.com/explorer/license/", 
    "sdPublisher": {
      "name": "Springer Nature - SN SciGraph project", 
      "type": "Organization"
    }, 
    "sdSource": "s3://com-uberresearch-data-dimensions-target-20181106-alternative/cleanup/v134/2549eaecd7973599484d7c17b260dba0a4ecb94b/merge/v9/a6c9fde33151104705d4d7ff012ea9563521a3ce/jats-lookup/v90/0000000001_0000000264/records_8690_00000280.jsonl", 
    "type": "Chapter", 
    "url": "http://link.springer.com/10.1007/978-3-319-62464-8_6"
  }
]
 

Download the RDF metadata as:  json-ld nt turtle xml License info

HOW TO GET THIS DATA PROGRAMMATICALLY:

JSON-LD is a popular format for linked data which is fully compatible with JSON.

curl -H 'Accept: application/ld+json' 'https://scigraph.springernature.com/pub.10.1007/978-3-319-62464-8_6'

N-Triples is a line-based linked data format ideal for batch operations.

curl -H 'Accept: application/n-triples' 'https://scigraph.springernature.com/pub.10.1007/978-3-319-62464-8_6'

Turtle is a human-readable linked data format.

curl -H 'Accept: text/turtle' 'https://scigraph.springernature.com/pub.10.1007/978-3-319-62464-8_6'

RDF/XML is a standard XML format for linked data.

curl -H 'Accept: application/rdf+xml' 'https://scigraph.springernature.com/pub.10.1007/978-3-319-62464-8_6'


 

This table displays all metadata directly associated to this object as RDF triples.

147 TRIPLES      23 PREDICATES      44 URIs      20 LITERALS      8 BLANK NODES

Subject Predicate Object
1 sg:pub.10.1007/978-3-319-62464-8_6 schema:about anzsrc-for:06
2 anzsrc-for:0607
3 schema:author Nb6ea3cf3e6524c16859ba8976b650c78
4 schema:citation sg:pub.10.1023/a:1016504620249
5 sg:pub.10.1134/s0012266110050058
6 https://doi.org/10.1002/acs.4480030106
7 https://doi.org/10.1006/jmaa.2000.7194
8 https://doi.org/10.1016/j.cam.2015.11.008
9 https://doi.org/10.1016/j.cnsns.2014.01.022
10 https://doi.org/10.1016/j.cnsns.2014.10.008
11 https://doi.org/10.1016/j.isatra.2013.06.005
12 https://doi.org/10.1016/j.isatra.2015.11.013
13 https://doi.org/10.1080/00207178708933715
14 https://doi.org/10.1109/9.35278
15 https://doi.org/10.1109/tac.1980.1102362
16 https://doi.org/10.1109/tac.1980.1102363
17 https://doi.org/10.1109/tac.1980.1102364
18 https://doi.org/10.1109/tac.1980.1102365
19 https://doi.org/10.1121/1.399905
20 https://doi.org/10.1177/1077546307087434
21 schema:datePublished 2018
22 schema:datePublishedReg 2018-01-01
23 schema:description In this chapter, we extend the ideas of the model reference adaptive control (MRAC), developed for integer-order plants with integer-order adaptive laws, to the case of integer-order plants but with fractional-order adaptive laws. Two cases are analyzed in detail; the direct MRAC (DMRAC) and the combined MRAC (CMRAC). In both cases, boundedness of all the signals in the resultant adaptive scheme is theoretically proved and a discussion on the error, and parameter convergence is provided in each case. The study is performed for scalar first-order time-invariant plants, since extensions to the vector case are currently under investigation.
24 schema:editor N6df63d14f1bc4bb4aae19ec6e918166e
25 schema:genre chapter
26 schema:inLanguage en
27 schema:isAccessibleForFree false
28 schema:isPartOf Nb28374bbb9034e18aee3b23356363e62
29 schema:name Fractional-Order Model Reference Adaptive Controllers for First-Order Integer Plants
30 schema:pagination 121-151
31 schema:productId N4141dc7a37634e9589006dcbed4a3a82
32 N7955a26b131841ae967f567ec7a52683
33 Ne0b12c57dbd047638c8fcdb278b6d580
34 schema:publisher N3d7026bdf14a4e19bae98983691f91ad
35 schema:sameAs https://app.dimensions.ai/details/publication/pub.1091993564
36 https://doi.org/10.1007/978-3-319-62464-8_6
37 schema:sdDatePublished 2019-04-15T21:05
38 schema:sdLicense https://scigraph.springernature.com/explorer/license/
39 schema:sdPublisher Nfa3565dab3754d7a925f9beee9e51a29
40 schema:url http://link.springer.com/10.1007/978-3-319-62464-8_6
41 sgo:license sg:explorer/license/
42 sgo:sdDataset chapters
43 rdf:type schema:Chapter
44 N2257cbb5434f4facb78df0e00ca44e10 schema:familyName Yu
45 schema:givenName Wen
46 rdf:type schema:Person
47 N25f28508221a4168836e6d2d2c731856 rdf:first sg:person.0750227650.80
48 rdf:rest N4e729f902a754983aa5b491339d192ff
49 N3d7026bdf14a4e19bae98983691f91ad schema:location Cham
50 schema:name Springer International Publishing
51 rdf:type schema:Organisation
52 N4141dc7a37634e9589006dcbed4a3a82 schema:name doi
53 schema:value 10.1007/978-3-319-62464-8_6
54 rdf:type schema:PropertyValue
55 N4e729f902a754983aa5b491339d192ff rdf:first sg:person.01103101716.49
56 rdf:rest N8865c9fa08794114b5cd1b437971b30c
57 N6df63d14f1bc4bb4aae19ec6e918166e rdf:first N7ab913e948044b0f89b21c229738c6cd
58 rdf:rest Ne3b641258d174e79aa873aea4707e160
59 N7955a26b131841ae967f567ec7a52683 schema:name dimensions_id
60 schema:value pub.1091993564
61 rdf:type schema:PropertyValue
62 N7ab913e948044b0f89b21c229738c6cd schema:familyName Clempner
63 schema:givenName Julio B.
64 rdf:type schema:Person
65 N8865c9fa08794114b5cd1b437971b30c rdf:first sg:person.015530410407.44
66 rdf:rest rdf:nil
67 Nb28374bbb9034e18aee3b23356363e62 schema:isbn 978-3-319-62463-1
68 978-3-319-62464-8
69 schema:name New Perspectives and Applications of Modern Control Theory
70 rdf:type schema:Book
71 Nb6ea3cf3e6524c16859ba8976b650c78 rdf:first sg:person.013573455233.46
72 rdf:rest N25f28508221a4168836e6d2d2c731856
73 Ne0b12c57dbd047638c8fcdb278b6d580 schema:name readcube_id
74 schema:value 8e6948591c62d0643daa8d43ca4dfce7e98c4bf83dba0a1c311068c6f853c4c3
75 rdf:type schema:PropertyValue
76 Ne3b641258d174e79aa873aea4707e160 rdf:first N2257cbb5434f4facb78df0e00ca44e10
77 rdf:rest rdf:nil
78 Nfa3565dab3754d7a925f9beee9e51a29 schema:name Springer Nature - SN SciGraph project
79 rdf:type schema:Organization
80 anzsrc-for:06 schema:inDefinedTermSet anzsrc-for:
81 schema:name Biological Sciences
82 rdf:type schema:DefinedTerm
83 anzsrc-for:0607 schema:inDefinedTermSet anzsrc-for:
84 schema:name Plant Biology
85 rdf:type schema:DefinedTerm
86 sg:person.01103101716.49 schema:affiliation https://www.grid.ac/institutes/grid.443909.3
87 schema:familyName Gallegos
88 schema:givenName Javier A.
89 schema:sameAs https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.01103101716.49
90 rdf:type schema:Person
91 sg:person.013573455233.46 schema:affiliation https://www.grid.ac/institutes/grid.443909.3
92 schema:familyName Duarte-Mermoud
93 schema:givenName Manuel A.
94 schema:sameAs https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.013573455233.46
95 rdf:type schema:Person
96 sg:person.015530410407.44 schema:affiliation https://www.grid.ac/institutes/grid.412179.8
97 schema:familyName Travieso-Torres
98 schema:givenName Juan C.
99 schema:sameAs https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.015530410407.44
100 rdf:type schema:Person
101 sg:person.0750227650.80 schema:affiliation https://www.grid.ac/institutes/grid.443909.3
102 schema:familyName Aguila-Camacho
103 schema:givenName Norelys
104 schema:sameAs https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.0750227650.80
105 rdf:type schema:Person
106 sg:pub.10.1023/a:1016504620249 schema:sameAs https://app.dimensions.ai/details/publication/pub.1024535294
107 https://doi.org/10.1023/a:1016504620249
108 rdf:type schema:CreativeWork
109 sg:pub.10.1134/s0012266110050058 schema:sameAs https://app.dimensions.ai/details/publication/pub.1029578198
110 https://doi.org/10.1134/s0012266110050058
111 rdf:type schema:CreativeWork
112 https://doi.org/10.1002/acs.4480030106 schema:sameAs https://app.dimensions.ai/details/publication/pub.1039755178
113 rdf:type schema:CreativeWork
114 https://doi.org/10.1006/jmaa.2000.7194 schema:sameAs https://app.dimensions.ai/details/publication/pub.1044075268
115 rdf:type schema:CreativeWork
116 https://doi.org/10.1016/j.cam.2015.11.008 schema:sameAs https://app.dimensions.ai/details/publication/pub.1005267835
117 rdf:type schema:CreativeWork
118 https://doi.org/10.1016/j.cnsns.2014.01.022 schema:sameAs https://app.dimensions.ai/details/publication/pub.1027197928
119 rdf:type schema:CreativeWork
120 https://doi.org/10.1016/j.cnsns.2014.10.008 schema:sameAs https://app.dimensions.ai/details/publication/pub.1017835224
121 rdf:type schema:CreativeWork
122 https://doi.org/10.1016/j.isatra.2013.06.005 schema:sameAs https://app.dimensions.ai/details/publication/pub.1029416275
123 rdf:type schema:CreativeWork
124 https://doi.org/10.1016/j.isatra.2015.11.013 schema:sameAs https://app.dimensions.ai/details/publication/pub.1028193594
125 rdf:type schema:CreativeWork
126 https://doi.org/10.1080/00207178708933715 schema:sameAs https://app.dimensions.ai/details/publication/pub.1000336011
127 rdf:type schema:CreativeWork
128 https://doi.org/10.1109/9.35278 schema:sameAs https://app.dimensions.ai/details/publication/pub.1061244256
129 rdf:type schema:CreativeWork
130 https://doi.org/10.1109/tac.1980.1102362 schema:sameAs https://app.dimensions.ai/details/publication/pub.1061472888
131 rdf:type schema:CreativeWork
132 https://doi.org/10.1109/tac.1980.1102363 schema:sameAs https://app.dimensions.ai/details/publication/pub.1061472889
133 rdf:type schema:CreativeWork
134 https://doi.org/10.1109/tac.1980.1102364 schema:sameAs https://app.dimensions.ai/details/publication/pub.1061472890
135 rdf:type schema:CreativeWork
136 https://doi.org/10.1109/tac.1980.1102365 schema:sameAs https://app.dimensions.ai/details/publication/pub.1061472891
137 rdf:type schema:CreativeWork
138 https://doi.org/10.1121/1.399905 schema:sameAs https://app.dimensions.ai/details/publication/pub.1062351197
139 rdf:type schema:CreativeWork
140 https://doi.org/10.1177/1077546307087434 schema:sameAs https://app.dimensions.ai/details/publication/pub.1029780139
141 rdf:type schema:CreativeWork
142 https://www.grid.ac/institutes/grid.412179.8 schema:alternateName University of Santiago Chile
143 schema:name University of Santiago de Chile
144 rdf:type schema:Organization
145 https://www.grid.ac/institutes/grid.443909.3 schema:alternateName University of Chile
146 schema:name University of Chile
147 rdf:type schema:Organization
 




Preview window. Press ESC to close (or click here)


...