title: Fuzzy time-optimal controller (FTOC) for second order nonlinear systems.
abstract: The motivation behind this paper is to seek alternative techniques to achieve a near optimal controller for non-linear systems without solving the analytical problem. In classical optimal control systems, the system states and optimization co-state parameters generate a two-point boundary value problem (TPBVP) using Pontryagin's minimum principle (PMP). The paper contributes a new fuzzy time-optimal controller to the existing fuzzy controllers which has two regular inputs and one bang-bang output. The proposed controller closely approximates the output of the classical time-optimal controller. Further, input membership function are tuned on-line to improve the time-optimal output. The new controller exhibits optimal behaviour for second order non-linear systems. The rules are selected to satisfy the stability and optimality conditions of the new fuzzy time-optimal controller. The paper describes a systematic procedure to design the controller and how to achieve the desired result. To benchmark the new controller performance, a sliding mode controller is used for guidance and comparison purpose. Simulation of three non-linear examples shows promising results. The work described here is expected to incite researcher's interest in fuzzy time-optimal controller design.
authors.affiliation: College of Engineering, Universiti Tenega Nasional, Km 7, Jln Kajang-Puchong, 43009 Kajang, Selangor, Malaysia. farrukh@uniten.edu.my
authors.forename: Farrukh
authors.initials: F
authors.lastname: Nagi
authors.forename: Syed Khaleel
authors.initials: SK
authors.lastname: Ahmed
authors.forename: Abdul Talip
authors.initials: AT
authors.lastname: Zularnain
authors.forename: Jawad
authors.initials: J
authors.lastname: Nagi
mesh_terms: D000465:Algorithms; D003198:Computer Simulation; D005246:Feedback; D017143:Fuzzy Logic; D008962:Models, Theoretical; D017711:Nonlinear Dynamics