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Observers Design for Unknown Inputs Switched Linear Systems Without Requiring Strong Detectability of Subsystems

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Stabilization and H∞ Control of Switched Dynamic Systems

Part of the book series: Studies in Systems, Decision and Control ((SSDC,volume 310))

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Abstract

This chapter investigates state observers design of a class of unknown inputs switched linear systems via mode-dependent dwell time switchings. The distinguishing feature of the proposed method is that strong detectability condition of subsystems of the switched systems is unnecessarily required. Firstly, a time-varying coordinate transformation is introduced to design a suitable reduced-order observer for each subsystem. Then, computable sufficient conditions on the synthesis of the observers are proposed in the framework of a mode-dependent dwell time technique.

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Authors and Affiliations

  1. The State Key Laboratory of Synthetical Automation for Process Industries, Northeastern University, Shenyang, China

    Jun Fu

  2. School of Mathematics, Liaoning University, Shenyang, China

    Ruicheng Ma

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  1. Jun Fu
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  2. Ruicheng Ma
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Correspondence to Jun Fu .

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Fu, J., Ma, R. (2021). Observers Design for Unknown Inputs Switched Linear Systems Without Requiring Strong Detectability of Subsystems. In: Stabilization and H∞ Control of Switched Dynamic Systems. Studies in Systems, Decision and Control, vol 310. Springer, Cham. https://doi.org/10.1007/978-3-030-54197-2_7

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