State Feedback Stabilization in Nonlinear Time-Delay Systems | Zendy

T. Hori | Zendy; Kazuo Tanaka | Zendy

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State Feedback Stabilization in Nonlinear Time-Delay Systems

Author(s) -

T. Hori,

Kazuo Tanaka

Publication year - 2002

Publication title -

journal of advanced computational intelligence and intelligent informatics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.172

H-Index - 20

eISSN - 1343-0130

pISSN - 1883-8014

DOI - 10.20965/jaciii.2002.p0109

Subject(s) - control theory (sociology) , computer science , nonlinear system , linear matrix inequality , fuzzy control system , fuzzy logic , compensation (psychology) , class (philosophy) , stability (learning theory) , controller (irrigation) , state (computer science) , full state feedback , control (management) , mathematical optimization , mathematics , artificial intelligence , algorithm , psychology , physics , quantum mechanics , machine learning , psychoanalysis , agronomy , biology

In this paper, a class of nonlinear time-delay systems based on the Takagi-Sugeno (T-S) fuzzy model is defined. We investigate the delay-independent stability of this model. A model-based fuzzy stabilization design utilizing the concept of parallel distributed compensation (PDC) is employed. The main idea of the controller design is to derive each control rule to compensate each rule of a fuzzy system. Moreover, the problem of H ∞ of this class of nonlinear time-delay systems is considered. The associated control synthesis problems are formulated as linear matrix inequality (LMI) problems.

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