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Feng, Zhi-Yong; Xu, Li; She, Jinhua; Guo, Xue-Xun

Optimization of coordinate transformation matrix for \(H_{\infty}\) static-output-feedback control of linear discrete-time systems. (English) Zbl 1332.93105

Asian J. Control 17, No. 2, 604-614 (2015).
Summary: This paper presents a new iterative algorithm as an upgrade to sufficient LMI conditions for the \(H_{\infty}\) Static-Output-Feedback (SOF) control of discrete-time systems. Based on an analysis of the structures of the coordinate transformation matrix and the Lyapunov matrix, the open question of how to fix the Lyapunov matrix structure raised by G. I. Bara and M. Boutayeb is replaced with the question of how to choose the coordinate transformation matrix. Then, an iterative algorithm for selecting the optimum coordinate transformation matrix that produces a locally optimal solution is presented. Finally, numerical examples demonstrate the effectiveness and advantages of this method.

Cited in 7 Documents

MSC:

93B36 \(H^\infty\)-control
93B52 Feedback control
93B17 Transformations
93C05 Linear systems in control theory
93C55 Discrete-time control/observation systems

Keywords:

\(H_{\infty}\) control; static output feedback; linear matrix inequality (LMI)

Software:

HIFOO; PENBMI
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Full Text: DOI

References:

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