Abstract
This chapter studies the problems of output feedback \(H_\infty \) control and filtering for discrete-time linear systems with other types of uncertainties. Unlike usual polytopic uncertainties and norm-bounded uncertainties, this chapter is toward systems with feedback uncertainties and Frobenius norm-bounded uncertainties. Attention is focused on the design of an output feedback controller (filter) such that the closed-loop system (filtering error system) preserves a prescribed \(H_\infty \) performance, where the system matrices or the controller (observer, filter) to be designed are assumed to have gained variations. Sufficient conditions for the \(H_\infty \) controller (filter) design are proposed in terms of LMIs. When these LMIs are feasible, an explicit expression of the desired controller (filter) is given. Numerical examples will be given to show the efficiency of the proposed design methods.
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Chang, XH. (2014). With Other Types of Uncertainties. In: Robust Output Feedback H-infinity Control and Filtering for Uncertain Linear Systems. Studies in Systems, Decision and Control, vol 7. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-55107-9_6
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DOI: https://doi.org/10.1007/978-3-642-55107-9_6
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