Titlebook: Robust Control and Filtering of Singular Systems; Shengyuan Xu,James Lam Book 2006 Springer-Verlag Berlin Heidelberg 2006 Guaranteed Cost

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游行

Robust Control,the past decades [25, 209]. Many results on these topics have been proposed. Among the different approaches that deal with these problems, the methods based on the concepts of quadratic stability and quadratic stabilizability have become popular. An uncertain system is quadratically stable if there

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Control,ing this problem. In the contexts of both the state-space and singular systems, a great number of results on . control have been reported and di.erent approaches have been proposed in the literature [41, 80, 88, 125, 191].

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Guaranteed Cost Control, also ensures an adequate level of performance. To this end, a design approach called guaranteed cost control is presented, in which an upper bound on the closed-loop value of a quadratic cost function can be guaranteed by using a fixed Lyapunov function. A great number of results on this topic have

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Positive Real Control,rol is that the positive realness of a certain loop transfer function will guarantee the overall stability of a feedback system if uncertainty or nonlinearity can be characterized by a positive real system [167]. This has motivated the study of the positive real control problem. In the context of st

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Filtering,bitrary deterministic signals with bounded energy (or average power). Compared with the traditional Kalman filtering, the . filtering approach does not require knowledge of the statistical properties of the external noises, and the designed filter in the . setting is more robust against additional p

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