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Feng, Zhi-Yong; She, Jin-hua; He, Yong

Selection of coordinate transformation matrix for discrete-time \(H_{2}/H_{\infty}\) static-output-feedback control: a two-step optimization method. (English) Zbl 1405.93179

Optim. Control Appl. Methods 39, No. 6, 1859-1870 (2018).
Summary: This paper presents a method to solve the problem of single- or multiobjective \(H_{2}/H_{\infty}\) static-output-feedback control for discrete-time systems. The selection of a Coordinate Transformation Matrix (CTM) is important when using linear matrix inequality-based approach to solve the static-output-feedback control problem. A two-step optimization method for selecting the optimum CTM that produces a locally optimal solution is developed. The first step uses a direct search method to choose an initial CTM. The second step implements an iterative linear matrix inequality method to obtain the optimum CTM. Numerical examples demonstrate the good performance and high computational efficiency of the method.

Cited in 2 Documents

MSC:

93D15 Stabilization of systems by feedback
93C55 Discrete-time control/observation systems
93B36 \(H^\infty\)-control
49N90 Applications of optimal control and differential games

Keywords:

coordinate transformation matrix (CTM); direct search methods; discrete-time systems; static output feedback; \(H_{2}/H_{\infty}\) control
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References:

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