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

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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\textit{H. Fan} et al., J. Ind. Manag. Optim. 12, No. 4, 1535--1556 (2016; Zbl 1364.93335)

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