摘要
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.
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.
作者
Yongmei MA 1 , 2 , Guanghong YANG 2 , 3 (1.College of Science, Yanshan University, Qinhuangdao Hebei 066004, China
2.College of Information Science and Engineering, Northeastern University, Shenyang Liaoning 110004, China
3.Key Laboratory of Integrated Automation of Process Industry (Ministry of Education), Northeastern University, Shenyang Liaoning 110004, China)
基金
supported by 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 Programof 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)
the 111 Project (No.B08015)
