Stability analysis and design of fuzzy control systems
Fuzzy Sets and Systems
Low-order control design for LMI problems using alternating projection methods
Automatica (Journal of IFAC)
Stability analysis and systematic design of fuzzy control systems
Fuzzy Sets and Systems
Optimization by Vector Space Methods
Optimization by Vector Space Methods
An approach to fuzzy control of nonlinear systems: stability and design issues
IEEE Transactions on Fuzzy Systems
Analysis and design of fuzzy controller and fuzzy observer
IEEE Transactions on Fuzzy Systems
Fuzzy regulators and fuzzy observers: relaxed stability conditions and LMI-based designs
IEEE Transactions on Fuzzy Systems
On the stability issues of linear Takagi-Sugeno fuzzy models
IEEE Transactions on Fuzzy Systems
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This paper deals with the stability issues for a class of nonlinear systems described in the Takagi-Sugeno's (T-S) fuzzy model. Based on the alternating projection method, first we propose an efficient projection algorithm for stability analysis. By involving the controller, the design method for the resulting closed-loop system is further investigated. Some numerical examples are given to demonstrate the validity of the proposed methods. The design strategy is verified by the problem of balancing and swing-up of an inverted pendulum on a cart.