期刊
IEEE TRANSACTIONS ON CYBERNETICS
卷 51, 期 9, 页码 4673-4684出版社
IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC
DOI: 10.1109/TCYB.2020.3009128
关键词
Lyapunov methods; Control design; Symmetric matrices; Fuzzy control; Nonlinear systems; Stability analysis; Fuzzy Lyapunov functions; fuzzy output-feedback control; input constraints; Takagi-Sugeno (TS) fuzzy systems
类别
资金
- French Ministry of Higher Education and Research
- National Center for Scientific Research (CNRS)
- Nord-Pas-de-Calais Region
- Natural Science Foundation of Ningxia Hui Autonomous Region [2018AAC03107]
- Ningxia First-Class Discipline and Scientific Research Projects (Electronic Science and Technology) [NXYLXK2017A07]
- Third Batch of Ningxia Youth Talents Supporting Program
- Advanced Intelligent Perception and Control Technology Innovative Team of Ningxia
- Major Special Project of North Minzu University [ZDZX201902]
This article presents a new approach to design static output-feedback controllers for constrained Takagi-Sugeno fuzzy systems with nonlinear consequents. The proposed framework is established using absolute stability theory and appropriate sector-bounded properties of the local state and input nonlinearities. The approach demonstrates effectiveness in reducing design conservatism through specific congruence transformations for convexification.
This article presents a new approach to design static output-feedback (SOF) controllers for constrained Takagi-Sugeno fuzzy systems with nonlinear consequents. The proposed SOF fuzzy control framework is established via the absolute stability theory with appropriate sector-bounded properties of the local state and input nonlinearities. Moreover, both state and input constraints are explicitly taken into account in the control design using set-invariance arguments. Especially, we include the local sector-bounded nonlinearities of the fuzzy systems in the construction of both the nonlinear controller and the nonquadratic Lyapunov function. Within the considered local control context, the new class of nonquadratic Lyapunov functions provides an effective solution to estimate the closed-loop domain of attraction, which can be nonconvex and even disconnected. The convexification procedure is performed using specific congruence transformations in accordance with the special structures of the proposed SOF controllers and nonquadratic Lyapunov functions. Consequently, the fuzzy SOF control design can be reformulated as an optimization problem under strict linear matrix inequality constraints with a linear search parameter. Compared to existing fuzzy SOF control schemes, the new structures of the control law and the Lyapunov function are more general and offer additional degrees of freedom for the control design. Both theoretical arguments and numerical illustrations are provided to demonstrate the effectiveness of the proposed approach in reducing the design conservatism.
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