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|Title:||Fuzzy time-optimal controller (FTOC) for second order nonlinear systems||Authors:||Nagi, F.
|Issue Date:||2011||Journal:||ISA Transactions Volume 50, Issue 3, July 2011, Pages 364-375||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. © 2011 ISA. Published by Elsevier Ltd. All rights reserved.||DOI:||10.1016/j.isatra.2011.01.014|
|Appears in Collections:||COE Scholarly Publication|
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