Analysis and synthesis of nonlinear time-delay systems via fuzzy control approach
Top Cited Papers
- 1 April 2000
- journal article
- Published by Institute of Electrical and Electronics Engineers (IEEE) in IEEE Transactions on Fuzzy Systems
- Vol. 8 (2), 200-211
- https://doi.org/10.1109/91.842153
Abstract
Takagi-Sugeno (TS) fuzzy models (1985, 1992) can provide an effective representation of complex nonlinear systems in terms of fuzzy sets and fuzzy reasoning applied to a set of linear input/output (I/O) submodels. In this paper, the TS fuzzy model approach is extended to the stability analysis and control design for both continuous and discrete-time nonlinear systems with time delay. The TS fuzzy models with time delay are presented and the stability conditions are derived using Lyapunov-Krasovskii approach. We also present a stabilization approach for nonlinear time-delay systems through fuzzy state feedback and fuzzy observer-based controller. Sufficient conditions for the existence of fuzzy state feedback gain and fuzzy observer gain are derived through the numerical solution of a set of coupled linear matrix inequalities. An illustrative example based on the CSTR model is given to design a fuzzy controller.Keywords
This publication has 22 references indexed in Scilit:
- Stability and robust stability of time-delay systems: A guided tourPublished by Springer Science and Business Media LLC ,2005
- Stability of a continuous stirred reactor with delay in the recycle streamPublished by Institute of Electrical and Electronics Engineers (IEEE) ,2002
- Robust stabilization of uncertain systems with time-varying multistate delayIEEE Transactions on Automatic Control, 1998
- Model Based Fuzzy ControlPublished by Springer Science and Business Media LLC ,1997
- Design of robust controllers for time-delay systemsIEEE Transactions on Automatic Control, 1994
- Vibrational control of nonlinear time lag systems with bounded delay: averaging theory, stabilizability, and transient behaviorIEEE Transactions on Automatic Control, 1994
- Stability analysis and design of fuzzy control systemsFuzzy Sets and Systems, 1992
- Fuzzy logic in control systems: fuzzy logic controller. IIEEE Transactions on Systems, Man, and Cybernetics, 1990
- Criteria for asymptotic stability of linear time-delay systemsIEEE Transactions on Automatic Control, 1985
- Fuzzy identification of systems and its applications to modeling and controlIEEE Transactions on Systems, Man, and Cybernetics, 1985