Fuzzy observer-based fuzzy control design for nonlinear systems with persistent bounded disturbances

详细信息    查看全文

• 作者：Chung-Shi Tseng ; Chi-Kuang Hwang
• 关键词： ; none ; color ; black"" href=""/science?_ob=MathURL&_method=retrieve&_udi=B6V05-4M524T0-1&_mathId=mml8&_user=10&_cdi=5637&_rdoc=4&_acct=C000050221&_version=1&_userid=10&md5=8ad1dac7bc4e33fd8598f44318e8adf4"" title=""Cl
• 刊名：Fuzzy Sets and Systems
• 出版年：2007
• 出版时间：16 January 2007
• 年：2007
• 卷：158
• 期：2
• 页码：164-179
• 全文大小：241 K

文摘

To date, nonlinear L_∞-gain control problems have not been solved by the conventional control methods for the nonlinear dynamic systems with persistent bounded disturbances. This study introduces a fuzzy control design to deal with the nonlinear L_∞-gain output feedback control problem. First, the Takagi and Sugeno (T–S) fuzzy model is employed to approximate the nonlinear dynamic system. Next, based on the fuzzy model, a fuzzy observer-based fuzzy controller is developed to minimize the upper bound of baea2e7e"" title=""Click to view the MathML source"">L_∞-gain of the closed-loop system under some linear matrix inequality (LMI) constraints. Therefore, the nonlinear L_∞-gain control problem is transformed into a suboptimal control problem, i.e., to minimize the upper bound of the L_∞-gain of the closed-loop system subject to some LMI constraints. In this situation, the nonlinear L_∞-gain output feedback control problem can be easily solved by a LMI-based optimization method. The proposed methods, which efficiently attenuate the peak of perturbation due to persistent bounded disturbances, extend the L_∞-gain control problems from linear dynamic systems to nonlinear dynamic systems.