This paper considers a design problem of dissipative and observer-based finite-time nonfragile 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.
Observer-Based Finite-Time Nonfragile Control for Nonlinear Systems With Actuator Saturation
Contributed by the Design Engineering Division of ASME for publication in the JOURNAL OF COMPUTATIONAL AND NONLINEAR DYNAMICS. Manuscript received March 31, 2018; final manuscript received October 30, 2018; published online November 28, 2018. Assoc. Editor: Bernard Brogliato.
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Sakthivel, R., Mohana Priya, R., Wang, C., and Dhanalakshmi, P. (November 28, 2018). "Observer-Based Finite-Time Nonfragile Control for Nonlinear Systems With Actuator Saturation." ASME. J. Comput. Nonlinear Dynam. January 2019; 14(1): 011004. https://doi.org/10.1115/1.4041911
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