Abstract
This chapter deals with \(H_\infty \) filtering of both discrete-time systems and continuous-time systems with polytopic uncertainties. The uncertain parameters are supposed to reside in a polytope. By using the parameter-dependent Lyapunov function approach and introducing some auxiliary matrix variables, sufficient conditions for the \(H_\infty \) filter design are presented in terms of solutions to a set of linear matrix inequalities (LMIs). In contrast to the existing results of \(H_\infty \) filter design, the main advantage of the proposed design methods is the reduced conservativeness. In addition, the LMI decoupling approach is also considered for designing \(H_\infty \) filters. An example is provided to demonstrate the effectiveness of the proposed methods.
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© 2014 Springer-Verlag Berlin Heidelberg
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Chang, XH. (2014). Robust \(H_\infty \) Filtering. 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_5
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DOI: https://doi.org/10.1007/978-3-642-55107-9_5
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