Static Output Feedback H∞ and H2 Control for Discrete-time Linear Systems

초록

This paper presents a novel methodology for the design of robust H∞ and H2 static output feedback (SOF) controllers for discrete-time linear systems. The proposed approach begins with the definition of an extended state feedback (ESF) controller and the formulation of a linear matrix inequality (LMI) condition for its design. Subsequently, an initial SOF control gain is derived using the ESF controller, followed by iterative LMI optimization to achieve a less conservative SOF controller. The effectiveness and superiority of the proposed method are demonstrated through comparative examples where existing methods either fail or produce more conservative results.

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