Optimal fuzzy control to reduce energy consumption in distillation columns
Automation and Remote Control
Affine TS-model-based fuzzy regulating/servo control design
Fuzzy Sets and Systems
Optimal nonlinear control strategy of a pilot plant reactor
ASC '07 Proceedings of The Eleventh IASTED International Conference on Artificial Intelligence and Soft Computing
Neural-network-based optimal fuzzy controller design for nonlinear systems
Fuzzy Sets and Systems
Generalized receding horizon control of fuzzy systems based on numerical optimization algorithm
IEEE Transactions on Fuzzy Systems
Neural, Parallel & Scientific Computations
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We propose a design method for a global optimal fuzzy controller to control and stabilize a continuous fuzzy system with free- or fixed-end point under finite or infinite horizon (time). A linear-like global system representation of continuous fuzzy system is first proposed by viewing a continuous fuzzy system in global concept and unifying the individual matrices into synthetical matrices. Based on this, the optimal control law which can achieve global minimum effect is developed theoretically. The nonlinear segmental two-point boundary-value problem is derived for the finite-horizon problem and a forward Riccati-like differential equation for the infinite-horizon problem. The stability of the closed-loop fuzzy system can be ensured by the designed optimal fuzzy controller. The optimal closed-loop fuzzy system cannot only be guaranteed to be exponentially stable, but also be stabilized to any desired degree. Also, the total energy of system output is absolutely finite. Moreover, the resultant closed-loop fuzzy system possesses an infinite gain margin