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| Received:September 22, 2009Revised:June 26, 2010 |
| 基金项目:This work was partly supported by the Funds for Creative Research Groups of China (No. 60821063), National 973 Program of China (No.2009CB320604), the Funds of National Science of China (No. 60974043, 60904010, 60804024, 61074090), and the 111 Project (No. B08015), the Funds of Doctoral Program of Ministry of Education, China (20100042110027), a Foundation for the Author of National Excellent Doctoral Dissertation of PR China (No. 201157), and the Liaoning Education Department Plan Project of China (No. L2010426). |
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| A new stability analysis and controller design method for discrete-time linear systems with saturation nonlinearities |
| Wei GUAN,Guanghong YANG |
| (School of Automation, Shenyang Aerospace University;College of Information Science and Engineering, Northeastern University) |
| Abstract: |
| The problems of stability analysis and controllers design for discrete-time linear systems subject to state saturation nonlinearities are investigated in this paper. Both full state saturation and partial state saturation are considered. It is well known to all that the controller design problem under state saturation is very difficult and complex to deal with. In order to overcome the difficulty, a new and tractable system is constructed, and it can be proved that the constructed system is with the same domain of attraction as the original system.With the aid of this property, to estimate the domain of attraction of the original system, an LMI-based method is presented for estimating the domain of attraction of the origin for the new constructed system under state saturation. Further, two optimization algorithms are developed for constructing dynamic output-feedback controllers and state feedback controllers, respectively, which guarantee that the domain of attraction of the origin for the closed-loop system is as ‘large’ as possible. An example is provided to emonstrate the effectiveness of the new method. |
| Key words: State saturation Linear systems LMIs |
