Piecewise observers of rectangular discrete fuzzy descriptor systems with multiple time-varying delays. (English) Zbl 1364.93335

Fan, Hongbiao; Feng, Jun-E; Meng, Min

J. Ind. Manag. Optim. 12, No. 4, 1535-1556 (2016).

Summary: This paper investigates piecewise observer design for rectangular discrete fuzzy descriptor systems with multiple time-varying delays. Via a series of simple transformations, the considered rectangular descriptor plants are converted into standard ones with multiple time-varying delays. Then, two sufficient delay-dependent conditions for existence of piecewise fuzzy observers are derived based on piecewise Lyapunov functions. Finally, two numerical examples are presented to show the effectiveness of the theoretical results.

MSC:

93C10	Nonlinear systems in control theory
93C55	Discrete-time control/observation systems
93B07	Observability
93C42	Fuzzy control/observation systems

Keywords:

fuzzy descriptor system; piecewise observer; piecewise Lyapunov function; time-varying delays

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