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Improving observer design for discrete-time TS descriptor models under the quadratic framework

Abstract : The paper presents a new quadratic Lyapunov function for observer design for discrete-time nonlinear descriptor systems. The main idea is to represent the original nonlinear model as a Takagi- Sugeno one and then use Lyapunov's direct method to design the observer. The well-known Finsler's Lemma is used to design a non-Parallel-Distributed-Compensator-like observer together with a quadratic Lyapunov function. This procedure yields design conditions in terms of linear matrix inequalities. The effectiveness of the proposed approaches is illustrated via numerical examples.
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Submitted on : Friday, November 5, 2021 - 11:18:05 AM
Last modification on : Saturday, November 6, 2021 - 4:21:31 AM

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  • HAL Id : hal-03416362, version 1

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Víctor Estrada Manzo, Zsofia Lendek, Thierry-Marie Guerra. Improving observer design for discrete-time TS descriptor models under the quadratic framework. 2nd IFAC Conference on Embedded Systems, Computer Intelligence and Telematics (CESCIT 2015), Jun 2015, Maribor, Slovenia. pp.276-281. ⟨hal-03416362⟩

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