Publication: Sugeno-type fuzzy time-optimal controller for nonlinear systems
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Date
2013
Authors
Nagi F.
Saleh H.
Nagi J.
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Abstract
Solving classical optimal control problems in nonlinear cases are an arduous task. Determination of time-optimal solutions by solving a two-point boundary-value problem (TPBVPs) is generally difficult. In the present study, an alternative technique to achieve a near-optimal controller for nonlinear systems without solving the TPBVP problem is investigated. The proposed controller uses the phase response trajectories of sliding-mode and fuzzy bang-bang controllers to achieve a near-optimal solution. The input membership function is tuned on-line to improve the time-optimal output. The controller rules are selected to satisfy stability and optimality conditions for the new fuzzy time-optimal controller. The paper describes a systematic procedure for design of the controller to achieve the desired result. To benchmark the controller performance, a sliding-mode controller is used for comparison. Simulation of three nonlinear examples shows promising results � 2012 Elsevier B.V.
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Keywords
Bang-bang control , Fuzzy logic control , State trajectories , Time-optimal control , Bang bang control systems , Benchmarking , Intelligent control , Optimal control systems , Bang-Bang control , Bang-bang controllers , Controller performance , Fuzzy logic control , Near-optimal solutions , Optimal control problem , Optimality conditions , Phase response , Sliding mode controller , Sliding modes , State trajectory , Time optimal control , Time-optimal , Time-optimal controller , Time-optimal solution , Two-point boundary value problem , Nonlinear systems