Series-based approximate approach of optimal tracking control for nonlinear systems with time-delay

The optimal output tracking control (OTC) problem for nonlinear systems with time-delay is considered.Using a series-based approx-imate approach,the original OTC problem is transformed into iteration solving linear two-point boundary value problems without time-delay.The OTC law obtained consists of analytical linear feedback and feedforward terms and a nonlinear compensation term with an infinite series of the adjoint vectors.By truncating a finite sum of the adjoint vector series,an approximate optimal tracking control law is obtained.A reduced-order reference input observer is constructed to make the feedforward term physically realizable.Simulation exam-pies are used to test the validity of the series-based approximate approach.

作 者： Gongyou Tang Mingqu Fan   作者單位： Gongyou Tang(College of Information Science and Engineering, Ocean University of China, Qingdao 266100, China)

Mingqu Fan(College of Information Science and Engineering, Ocean University of China, Qingdao 266100, China;College of Information and Engineering, Shandong University of Science and Technology, Jinan 250031, China) 

刊 名： 自然科學進展（英文版）  SCI 英文刊名： PROGRESS IN NATURAL SCIENCE  年，卷(期)： 2008 18(12)  分類號： N1  關鍵詞： Nonlinear systems   Time-delay   Tracking control   Optimal control   Observer