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A non-iterative LMI-based algorithm for robust static-output-feedback stabilization. (English) Zbl 0960.93048
This paper presents a non-iterative linear matrix inequality-based (LMI-based) algorithm for robust static output feedback stabilization of polytopic systems. This algorithm extends a previous method (Benton and Smith) for use in robust control of systems with time-varying uncertainties by replacing the algebraic Riccati equation with an LMI minimization problem. The algorithm is called non-iterative in LMI solutions because, unlike previous LMI-based static output feedback algorithms, a finite series of LMI problems are solved without the need to repeat the solution to any one of the LMI problems. The algorithm was tested on a number of robust stabilization examples drawn from the literature. The numerical results obtained indicate that an LTI version of the paper’s non-iterative algorithm outperforms the first iteration of the well known iterative CCLA method. Thus it will be very useful to investigate the iterative version of the proposed algorithm.

93D21 Adaptive or robust stabilization
93B40 Computational methods in systems theory (MSC2010)
15A39 Linear inequalities of matrices
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