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H_∞ Control for Discrete-time Systems via Static Output Feedback Controller


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H_∞ Control for Discrete-time Systems via Static Output Feedback Controller
XIA Jian-wei12XU Sheng-yuan1ZOU Yun1SONG Bo1
1.School of Automation,NUST,Nanjing 210094,China;2.School of Mathematics Science,Liaocheng University,Liaocheng 252000,China
H∞ control iterative calculation substitutive linear matrix inequality static output feedback
This paper considers the problem of H∞ control for discrete-time systems via static output feedback controllers.The solvability condition for this problem is obtained in terms of a matrix inequality,which is usually nonlinear.By introducing some appropriate matrix variables and iterative calculation,the inequality is transformed into substitutive LMI with respect to the Lyapunov matrix and the static output feedback gain,which can be solved by an iterative procedure.A numerical example is provided to prove the effectiveness of the proposed technique.


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Last Update: 2008-04-30