Synthesis of Stabilization Control on Outputs for a Class of Continuous and Pulse-Modulated Undefined Systems View Full Text


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Article Info

DATE

2018-10

AUTHORS

I. E. Zuber, A. Kh. Gelig

ABSTRACT

Consider system {x˙1=φ1(.)+ρ1xl+1,x˙m=φm(.)+ρmxn,x˙m+1=φm+1(.)+μ1,x˙n=φn(.)+μ1, where x1, …, and xn is the state of the system, u1, …, and ul are controls, n/l is not an integer, and l ≥ 2. It is supposed that only outputs x1, …, and xl are measurable, (l > n) and ϕi(·) are non-anticipating arbitrary functionals, and 0 < ρ–≤ ρi (t, x1, …, and xl) ≤ ρ+. Using the backstepping method, we construct the square Lyapunov function and stabilize the control for the global exponential stability of the closed loop system. The stabilization by means of synchronous modulators with a sufficiently high impulsion frequency is considered as well. More... »

PAGES

360-366

References to SciGraph publications

  • 2018-09. Multidimensional Output Stabilization of a Certain Class of Uncertain Systems in AUTOMATION AND REMOTE CONTROL
  • 2017-10. Stabilization by output of continuous and pulse-modulated uncertain systems in VESTNIK ST. PETERSBURG UNIVERSITY, MATHEMATICS
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    http://scigraph.springernature.com/pub.10.3103/s1063454118040143

    DOI

    http://dx.doi.org/10.3103/s1063454118040143

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