College of Engineering, Universiti Tenega Nasional, Km 7, Jln Kajang-Puchong, 43009 Kajang, Selangor, Malaysia.
ISA Trans. 2011 Jul;50(3):364-75. doi: 10.1016/j.isatra.2011.01.014. Epub 2011 Feb 24.
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.
本文的目的是寻求替代技术，以实现非线性系统的近最优控制器，而无需解决分析问题。在经典最优控制系统中，系统状态和优化共态参数使用庞特里亚金最小原理（PMP）生成两点边值问题（TPBVP）。本文为现有的模糊控制器贡献了一种新的模糊时间最优控制器，该控制器具有两个常规输入和一个 bang-bang 输出。所提出的控制器非常接近经典时间最优控制器的输出。此外，输入隶属函数在线调整以改善时间最优输出。新控制器对二阶非线性系统表现出最优行为。选择规则以满足新模糊时间最优控制器的稳定性和最优性条件。本文描述了设计控制器的系统过程以及如何实现所需的结果。为了基准测试新控制器的性能，使用滑模控制器进行指导和比较目的。三个非线性示例的仿真结果表明了该方法的有效性。本文的工作有望激发研究人员对模糊时间最优控制器设计的兴趣。
