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An LMI Approach to Static Output Feedback Stabilization of Linear Systems

Jinzhi Wang

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Abstract

In this paper, a linear matrix inequality (LMI) approach without constraints is developed to solve W and P problems, which are related to designing static output feedback (SOF) stabilization controls for linear systems. As an application, the SOF stabilization problem of uncertain systems is considered. Some LMI based sufficient and necessary conditions and design approaches are presented.

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What this paper is about

In this paper, a linear matrix inequality (LMI) approach without constraints is developed to solve W and P problems, which are related to designing static output feedback (SOF) stabilization controls for linear systems. As an application, the SOF stabilization problem of uncertain systems is considered. Some LMI based sufficient and necessary conditions and design approaches are presented.

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OpenAlex reports 13 citations for this work. Citation counts describe recorded attention and do not establish research quality.

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Available abstract

In this paper, a linear matrix inequality (LMI) approach without constraints is developed to solve W and P problems, which are related to designing static output feedback (SOF) stabilization controls for linear systems. As an application, the SOF stabilization problem of uncertain systems is considered. Some LMI based sufficient and necessary conditions and design approaches are presented.

Key concepts: Linear matrix inequality, Control theory (sociology), Output feedback, Linear system, Mathematics, Computer science, Mathematical optimization, Control (management)

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