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作者机构:Bharathiar Univ Dept Appl Math Coimbatore 641046 Tamil Nadu India Yunnan Univ Dept Math Kunming 650091 Yunnan Peoples R China
出 版 物:《JOURNAL OF COMPUTATIONAL AND NONLINEAR DYNAMICS》 (计算和非线性动力学杂志)
年 卷 期:2019年第14卷第1期
页 面:011004-011004页
核心收录:
学科分类:07[理学] 0802[工学-机械工程] 0701[理学-数学] 0801[工学-力学(可授工学、理学学位)] 070101[理学-基础数学]
主 题:discrete-time systems observer-based controller finite-time boundedness actuator saturation
摘 要:This paper considers a design problem of dissipative and observer-based finite-time non-fragile control for a class of uncertain discrete-time system with time-varying delay, nonlinearities, external disturbances, and actuator saturation. In particular, in this work, it is assumed that the nonlinearities satisfy Lipschitz condition for obtaining the required results. By choosing a suitable Lyapunov-Krasovskii functional, a new set of sufficient conditions is obtained in terms of linear matrix inequalities, which ensures the finite-time boundedness and dissipativeness of the resulting closed-loop system. Meanwhile, the solvability condition for the observer-based finite-time nonfragile control is also established, in which the control gain can be computed by solving a set of matrix inequalities. Finally, a numerical example based on the electric-hydraulic system is provided to illustrate the applicability of the developed control design technique.