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Local Sampled-Data Controller Design for T-S Fuzzy Systems With Saturated Actuators

Adriano Nogueira Drumond Lopes, Kevin Guelton, Laurent Arcese, Valter J. S. Leite

2020IEEE Control Systems Letters30 citationsDOI

Abstract

This letter deals with the local stabilization of continuous-time Takagi-Sugeno (T-S) systems under saturated actuators and driven by sampled-data controllers. The generalized sector condition is used to cope with the saturated signals and the sampled-data closed-loop dynamics is rewritten as a T-S system with saturated input with time-varying delays. Then, by selecting a convenient Lyapunov-Krasovskii Functional and the application of some useful overbounding techniques, new LMI-based conditions are proposed for the design of saturated sampled-data Parallel-Distributed-Compensation controllers, together with the estimation of the closed-loop domain of attraction. A simulation example illustrates the effectiveness of this proposal and shows the achieved conservatism improvement regarding to previous related studies.

Topics & Concepts

Control theory (sociology)Compensation (psychology)ActuatorController (irrigation)Fuzzy logicDomain (mathematical analysis)Computer scienceFuzzy control systemMathematicsControl (management)Artificial intelligencePsychologyBiologyPsychoanalysisMathematical analysisAgronomyStability and Control of Uncertain SystemsNeural Networks Stability and SynchronizationAdaptive Control of Nonlinear Systems
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