Abstract
This chapter will focus on robust static output feedback \(H_\infty \) control design for linear systems with polytopic uncertainties and norm bounded uncertainties. First, new \(H_\infty \) performance analysis criterions are proposed for the systems by an LMI decoupling approach. Then, sufficient conditions for designing static output feedback \(H_\infty \) controllers are given in terms of solutions to a set of linear matrix inequalities (LMIs). In contrast to the existing methods for designing the static output feedback \(H_\infty \) controllers, the input matrices and output matrices of the considered systems are allowed to have uncertainties. Moreover, theoretical proof is given to show that the proposed design conditions include the existing results as special cases. Simulation examples are provided to show the effectiveness of the proposed design method.
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References
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Chang, XH. (2014). Robust Static Output Feedback \(H_\infty \) Control. 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_2
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DOI: https://doi.org/10.1007/978-3-642-55107-9_2
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