Robust stabilization for nonlinear discrete-time systems. (English) Zbl 1063.93044

Zuo, Zhiqiang; Wang, Jinzhi; Huang, Lin

Int. J. Control 77, No. 4, 384-388 (2004).

Robust state feedback stabilization of nonlinear discrete-time systems with sector-bound nonlinearities is considered. Sufficient conditions in terms of linear matrix inequalities are presented for stabilizability. Then, the results are extended to the case where there is a delayed state component in the system dynamics. Three simple examples are given for illustration.

Reviewer: Edwin Engin Yaz (Milwaukee)

MSC:

93D21	Adaptive or robust stabilization
93B51	Design techniques (robust design, computer-aided design, etc.)
93C55	Discrete-time control/observation systems
93C10	Nonlinear systems in control theory
15A39	Linear inequalities of matrices

Keywords:

stabilization of systems by feedback; robust design; discrete-time systems; nonlinear systems; sector-bound nonlinearities; linear matrix inequalities; delay

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