Fixed-order H2 controller design for state space polytopic systems View Full Text


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Article Info

DATE

2014-04

AUTHORS

Arash Sadeghzadeh

ABSTRACT

In this article, the problem of fixed-order H2 controller design for continuous-time polytopic systems is investigated. It is assumed that the uncertain parameters appear in the state space realization of the system. A convex set of fixed-order H2 controllers is presented by introducing a slack matrix variable which decouples the Lyapunov variables and the controller parameters. Taking advantage of this feature, we can readily design a robust fixed-order controller for a polytopic system with non-common Lyapunov variables. An optimization problem is presented for computing the slack variables using an initial controller selected by the designer. Additionally, to improve the obtained performance, a procedure is provided to reduce the dependency of the method on the initial controller. The design conditions are in terms of solutions to a set of linear matrix inequalities. Numerical examples demonstrate the effectiveness of the proposed approach. More... »

PAGES

316-323

References to SciGraph publications

  • 2011-04-02. H∞ controller design for linear systems with time-invariant uncertainties in INTERNATIONAL JOURNAL OF CONTROL, AUTOMATION AND SYSTEMS
  • 2011-04-02. Particle swarm optimization-based fixed-structure ℋ∞ control design in INTERNATIONAL JOURNAL OF CONTROL, AUTOMATION AND SYSTEMS
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    http://scigraph.springernature.com/pub.10.1007/s12555-013-0256-9

    DOI

    http://dx.doi.org/10.1007/s12555-013-0256-9

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