Technical Communique: Static Output Feedback Stabilization: An ILMI Approach

Authors:
YONG-YAN CAO;JAMES LAM;YOU-XIAM SUN
Affiliations:
Institute of Industrial Process Control, Zhejiang University, Hangzhou, 310027, People's Republic of China.;Department of Mechanical Engineering, University of Hong Kong, Pokfulam Road, Hong Kong.;Institute of Industrial Process Control, Zhejiang University, Hangzhou, 310027, People's Republic of China.
Venue:
Automatica (Journal of IFAC)
Year:
1998

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Abstract

In this note, the static output feedback stabilization problem is addressed using the linear matrix inequality technique. A necessary and sufficient condition for static output feedback stabilizability for linear time-invariant systems is derived in the form of a matrix inequality. The extension of the result to H"~ control is studied. An iterative LMI (ILMI) algorithm is proposed to compute the feedback gain. Numerical examples are employed to demonstrate the effectiveness and the convergence of the algorithm.