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Static Output Feedback Stabilization: An ILMI Approach |
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| Authors: | YONG-YAN CAO JAMES LAM YOU-XIAM SUN |
| Affiliation: | †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. |
| 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. |
| Keywords: | Feedback Stabilization Matrix algebra Linear systems Algorithms Vectors Closed loop control systems Theorem proving Lyapunov methods Static output feedback Linear matrix inequality Linear time invariant systems |
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