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| XiaofuJI,MingweiREN,HongyeSU,JinfengGAO |
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| (School of Electrical and Information Engineering, Jiangsu University;National Key Laboratory of Industrial Control Technology, Institute of Cyber-systems and Control, Zhejiang University;Institute of Automation, Zhejiang Sci-Tech University) |
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| Received:July 27, 2010Revised:October 10, 2011 |
| 基金项目:This work was supported by the National Natural Science Foundation of China (Nos. 60904011, 61004034, 61104016), the Doctoral Fund of Ministry of Education of China (No. 20093227120010), the Natural Science Foundation of Jiangsu Province, China (No. BK2011465), and the Project Funded by the Priority Academic Program Development of Jiangsu Higher Education Institutions (No. 201106). |
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| Stability analysis for discrete linear systems with state saturation by a saturation-dependent Lyapunov functional |
| Xiaofu JI,Mingwei REN,Hongye SU,Jinfeng GAO |
| (School of Electrical and Information Engineering, Jiangsu University;National Key Laboratory of Industrial Control Technology, Institute of Cyber-systems and Control, Zhejiang University;Institute of Automation, Zhejiang Sci-Tech University) |
| Abstract: |
| This paper concerns the stability analysis problem of discrete linear systems with state saturation using a saturation-dependent Lyapunov functional. We introduce a free matrix characterized by the sum of the absolute value of each elements for each row less than 1, which makes the state with saturation constraint reside in a convex polyhedron. A saturation-dependent Lyapunov functional is then designed to obtain a sufficient condition for such systems to be globally asymptotically stable. Based on this stability criterion, the state feedback control law synthesis problem is also studied. The obtained results are formulated in terms of bilinear matrix inequalities that can be solved by the presented iterative linear matrix inequality algorithm. Two numerical examples are used to demonstrate the effectiveness of the proposed method. |
| Key words: Discrete linear systems State saturation Saturation-dependent Iterative linear matrix inequality |
