A note on guaranteed cost control for nonlinear stochastic systems with input saturation and mixed time‐delays

Summary ThisIn the system under investigation, the control input is subject to the saturation constraint, and both discrete and distributed time‐delays are taken into consideration. The objective of the addressed problem is to design a state feedback controller such that the resulting closed‐loop sy...

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Bibliographic Details
Published inInternational journal of robust and nonlinear control Vol. 27; no. 18; pp. 4443 - 4456
Main Authors Ma, Lifeng, Wang, Zidong, Liu, Yurong, Alsaadi, Fuad E.
Format Journal Article
LanguageEnglish
Published Bognor Regis Wiley Subscription Services, Inc 01.12.2017
Subjects
Control systems
Control systems design
Controllers
Feedback control
guaranteed cost control
Hamilton–Jacobi inequality
input saturation
mixed time‐delays
Nonlinear control
nonlinear Itô stochastic systems
Nonlinear systems
Saturation
State feedback
Stochastic systems
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Summary:Summary ThisIn the system under investigation, the control input is subject to the saturation constraint, and both discrete and distributed time‐delays are taken into consideration. The objective of the addressed problem is to design a state feedback controller such that the resulting closed‐loop system is asymptotically stable in probability and an upper bound is guaranteed on a prespecified quadratic cost function. Sufficient conditions are established for the existence of the desired guaranteed cost control strategy in terms of the solvability of certain Hamilton–Jacobi inequalities. Simulation results demonstrate the correctness and applicability of the proposed control scheme. Copyright © 2017 John Wiley & Sons, Ltd.
Bibliography:ObjectType-Article-1
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ISSN:1049-8923
1099-1239
DOI:10.1002/rnc.3809