access icon free Control of a class of non-linear uncertain chaotic systems via an optimal Type-2 fuzzy proportional integral derivative controller

© The Institution of Engineering and Technology
Received 16/07/2012, Accepted 01/10/2012, Revised 28/09/2012, Published

This study deals with the problem of controlling a class of uncertain non-linear systems in the presence of external disturbances. To achieve this goal, a novel optimal Type-2 fuzzy proportional integral derivative (OT2FPID) controller is introduced. In the proposed controller, a novel heuristic algorithm namely particle swarm optimisation with random inertia weight (RNW–PSO) is employed. To achieve an optimal performance, the parameters of the proposed controller as well as the input and output membership functions are optimised simultaneously by RNW–PSO. To evaluate the performance of the proposed controller, the results are compared with those obtained by optimal H ∞ adaptive proportional integral derivative controller, which is the latest research in the problem in hand. Simulation results show the effectiveness of the OT2FPID controller.

Inspec keywords: optimal control; particle swarm optimisation; uncertain systems; nonlinear control systems; chaos; fuzzy control; three-term control

Other keywords: random inertia weight; particle swarm optimisation; nonlinear uncertain chaotic systems; heuristic algorithm; optimal control; type-2 fuzzy control; proportional integral derivative control; uncertain nonlinear system

Subjects: Nonlinear control systems; Optimisation techniques; Fuzzy control; Optimal control

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