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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.

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