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.
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January 2019
Research-Article
Observer-Based Finite-Time Nonfragile Control for Nonlinear Systems With Actuator Saturation
R. Sakthivel,
R. Sakthivel
Department of Applied Mathematics,
Bharathiar University,
Coimbatore 641046, India
e-mail: krsakthivel0209@gmail.com
Bharathiar University,
Coimbatore 641046, India
e-mail: krsakthivel0209@gmail.com
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R. Mohana Priya,
R. Mohana Priya
Department of Applied Mathematics,
Bharathiar University,
Coimbatore 641046, India
e-mail: wishesmona@gmail.com
Bharathiar University,
Coimbatore 641046, India
e-mail: wishesmona@gmail.com
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Chao Wang,
Chao Wang
Department of Mathematics,
Yunnan University,
Kunming 650091, Yunnan, China
e-mail: chaowang@ynu.edu.cn
Yunnan University,
Kunming 650091, Yunnan, China
e-mail: chaowang@ynu.edu.cn
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P. Dhanalakshmi
P. Dhanalakshmi
Department of Applied Mathematics,
Bharathiar University,
Coimbatore 641046, India
e-mail: viga_dhanasekar@yahoo.co.in
Bharathiar University,
Coimbatore 641046, India
e-mail: viga_dhanasekar@yahoo.co.in
Search for other works by this author on:
R. Sakthivel
Department of Applied Mathematics,
Bharathiar University,
Coimbatore 641046, India
e-mail: krsakthivel0209@gmail.com
Bharathiar University,
Coimbatore 641046, India
e-mail: krsakthivel0209@gmail.com
R. Mohana Priya
Department of Applied Mathematics,
Bharathiar University,
Coimbatore 641046, India
e-mail: wishesmona@gmail.com
Bharathiar University,
Coimbatore 641046, India
e-mail: wishesmona@gmail.com
Chao Wang
Department of Mathematics,
Yunnan University,
Kunming 650091, Yunnan, China
e-mail: chaowang@ynu.edu.cn
Yunnan University,
Kunming 650091, Yunnan, China
e-mail: chaowang@ynu.edu.cn
P. Dhanalakshmi
Department of Applied Mathematics,
Bharathiar University,
Coimbatore 641046, India
e-mail: viga_dhanasekar@yahoo.co.in
Bharathiar University,
Coimbatore 641046, India
e-mail: viga_dhanasekar@yahoo.co.in
1Corresponding author.
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.
J. Comput. Nonlinear Dynam. Jan 2019, 14(1): 011004 (9 pages)
Published Online: November 28, 2018
Article history
Received:
March 31, 2018
Revised:
October 30, 2018
Citation
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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