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New results on restricted static output feedback \(H_\infty \) controller design with regional pole placement. (English) Zbl 1432.93117

Summary: This study addresses the design of static output feedback (SOF) controller for continuous time linear systems. New sufficient conditions are derived for designing SOF controllers. The development involves suitable decomposition of Lyapunov matrices and deriving linear matrix inequality (LMI) criterion that ensures \(H_\infty \) performance. LMI criteria for pole placement in the LMI region are also derived. The proposed criteria can be used for restricted SOF controller design effectively. Several numerical examples are presented to demonstrate the effectiveness of the proposed results.

MSC:

93B55 Pole and zero placement problems
93B36 \(H^\infty\)-control
93B51 Design techniques (robust design, computer-aided design, etc.)
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