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| DOI：10.1007/s11768-010-7261-9 |
| Received:December 06, 2007Revised:November 14, 2008 |
| 基金项目:Program for New Century Excellent Talents in University (No.NCET-04-0283), the Funds for Creative Research Groups of China (No.60521003), Program for Changjiang Scholars and Innovative Research Team in University (No.IRT0421), the State Key Program of National Natural Science of China (No.60534010), the Funds of National Science of China (No.60674021), the Funds of PhD program of MOE,China (No.20060145019), and the 111 Project (No.B08015) |
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| Stability analysis for linear discrete-time systems subject to actuator saturation |
| Yongmei MA,Guanghong YANG |
| (College of Science, Yanshan University;College of Information Science and Engineering, Northeastern University) |
| Abstract: |
| In this paper, stability of discrete-time linear systems subject to actuator saturation is analyzed by combining
the saturation-dependent Lyapunov function method with Finsler’s lemma. New stability test conditions are proposed
in the enlarged space containing both the state and its time difference which allow extra degree of freedom and lead to
less conservative estimation of the domain of attraction. Furthermore, based on this result, a useful lemma and an iterative
LMI-based optimization algorithm are also developed to maximize an estimation of domain of attraction. A numerical
example illustrates the effectiveness of the proposed methods. |
| Key words: Linear systems Actuator saturation Estimation of domain of attraction LMIs |
