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Stability and \(\ell _{2}\)-Gain Analysis

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Part of the Studies in Systems, Decision and Control book series (SSDC,volume 244)

Abstract

In this chapter, the issue of stability and \(\ell _{2}\)-gain analysis for discrete-time switched systems is addressed with MDPDT switching. Compared with the MDADT switching signal, the MDPDT switching signal is more general and flexible since it can cover MDADT switching as a special case. Under the MDPDT switching, the achieved disturbance attenuation performance is non-weighted, which is more flexible in practice than the weighted one. Moreover, the QTD technique is adopted to obtain less conservative criteria. First of all, the stability and \(\ell _{2}\)-gain criteria are presented for general discrete-time switched systems. On this basis, LMI conditions to guarantee the stability and \(\ell _{2}\)-gain performance are deduced for discrete-time switched linear systems with uncertainties. Finally, numerical examples are provided to illustrate the effectiveness of the developed criteria.

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  • DOI: 10.1007/978-3-030-25812-2_9
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Correspondence to Zhongyang Fei .

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Fei, Z., Shi, S., Shi, P. (2020). Stability and \(\ell _{2}\)-Gain Analysis. In: Analysis and Synthesis for Discrete-Time Switched Systems. Studies in Systems, Decision and Control, vol 244. Springer, Cham. https://doi.org/10.1007/978-3-030-25812-2_9

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