Abstract
In this chapter, \(\mathscr {H}_{\infty }\) control for discrete-time switched linear systems is investigated under MDADT switching. Based on the criteria of stability and \(\ell _{2}\)-gain derived in Chap. 3, both state and dynamic output feedback controllers are designed, which can guarantee the corresponding closed-loop systems are GUAS with a weighted \(\ell _{2}\)-gain index. It is worth mentioning that the designed controllers are both mode-dependent and QTD, which are helpful to achieve better desired performance of the closed-loop systems.
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Fei, Z., Shi, S., Shi, P. (2020). \(\mathscr {H}_{\infty }\) Control. 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_4
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DOI: https://doi.org/10.1007/978-3-030-25812-2_4
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