Journal
IEEE TRANSACTIONS ON FUZZY SYSTEMS
Volume 28, Issue 8, Pages 1519-1530Publisher
IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC
DOI: 10.1109/TFUZZ.2019.2917127
Keywords
Output feedback; Nonlinear systems; Lyapunov methods; Fuzzy systems; Silicon; Sliding mode control; Stability analysis; Convex optimization; fuzzy control; nonlinear systems; output feedback; sliding-mode control (SMC)
Funding
- Self-Planned Task of State Key Laboratory of Robotics and Systems, Harbin Institute of Technology [SKLRS201801A03]
- National Natural Science Foundation of China [61873311]
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This paper addresses the output feedback sliding-mode control (SMC) problem for discrete-time uncertain nonlinear systems through Takagi-Sugeno fuzzy dynamic models. Combining with the sliding surface, a descriptor system is constructed to characterize the sliding motion dynamics. Sufficient conditions for asymptotic stability analysis of the sliding motion are attained by the piecewise quadratic Lyapunov functions within a convex optimization setup. Two SMC design approaches are proposed to ensure the finite-time convergence of the sliding surface. Two simulation examples are presented to show the effectiveness of the proposed approaches.
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