Finite-Time Robust Optimal Passive Control for a Class of Uncertain Nonlinear Systems

被引：0
作者：
Song, Jun [1 ]
He, Shuping [1 ]
机构：
[1] Anhui Univ, Coll Elect Engn & Automat, Hefei 230601, Peoples R China
来源：
2013 25TH CHINESE CONTROL AND DECISION CONFERENCE (CCDC) | 2013年
关键词：
Lipschitz Conditions; Nonlinear Uncertain Systems; Finite-Time Boundedness; Robust Passive Controller; OBSERVER; SUBJECT;
D O I：
暂无
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
The finite-time passive control problem of a class of nonlinear uncertain systems with nonlinear terms satisfying Lipschitz conditions is studied. An optimal robust passive controller with respect to the finite-time interval is designed while noise inputs are energy bounded. Based on nonlinear passive control theory, the sufficient condition for the existence of finite-time robust passive controller such that the nonlinear uncertain control systems is finite-time boundedness for all admissible uncertainties and satisfies the given passive control index is given. By using the constructed Lyapunov function, applying linear matrix inequalities techniques and based on state feedback control, the design method of the finite-time optimal passive controller is derived. Simulation results demonstrate the validity of the proposed approach.
引用
收藏
页码：221 / 225
页数：5
相关论文
共 17 条
  • [11] Finite-time boundedness and L2-gain analysis for switched delay systems with norm-bounded disturbance
    Lin, Xiangze
    Du, Haibo
    Li, Shihua
    [J]. APPLIED MATHEMATICS AND COMPUTATION, 2011, 217 (12) : 5982 - 5993
  • [12] Non-fragile observer-based passive control for uncertain time delay systems subjected to input nonlinearity
    Liu, Leipo
    Han, Zhengzhi
    Li, Wenlin
    [J]. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2010, 73 (08) : 2603 - 2610
  • [13] Mahmoud MS, 1998, IEEE DECIS CONTR P, P4139, DOI 10.1109/CDC.1998.761951
  • [14] H∞ observer design for Lipschitz nonlinear systems
    Pertew, A. M.
    Marquez, H. J.
    Zhao, Q.
    [J]. IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2006, 51 (07) : 1211 - 1216
  • [15] Stabilization and tracking control for a class of nonlinear systems
    Rehan, Muhammad
    Hong, Keum-Shik
    Ge, Shuzhi Sam
    [J]. NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, 2011, 12 (03) : 1786 - 1796
  • [16] Observer synthesis method for Lipschitz nonlinear discrete-time systems with time-delay: An LMI approach
    Zemouche, Ali
    Boutayeb, Mohamed
    [J]. APPLIED MATHEMATICS AND COMPUTATION, 2011, 218 (02) : 419 - 429
  • [17] Passivity analysis for neural networks with a time-varying delay
    Zeng, Hong-Bing
    He, Yong
    Wu, Min
    Xiao, Shen-Ping
    [J]. NEUROCOMPUTING, 2011, 74 (05) : 730 - 734
12