A multi-objective optimal PID control for a nonlinear system with time delay  

作　　者：Furui Xiong Zhichang Qin Carlos Hernndez Yousef Sardahi Yousef Narajani Wei Liang Yang Xue Oliver Schtze Jianqiao Sun 

机构地区：[1]Department of Mechanics,Tianjin University [2]CINVESTAV-IPN,Depto de Computacion [3]University of California at Merced

出　　处：《Theoretical & Applied Mechanics Letters》2013年第6期35-40,共6页力学快报（英文版）

基　　金：supported by the UC MEXUSCONACyT("Cell-to-cell Mapping for Global Multi-objective Optimization");the National Natural Science Foundation of China(11172197);the Natural Science Foundation of Tianjin through a key-project grant;support from CONACyT through a scholarship to pursue graduate studies at the Computer Science Department of CINVESTAV-IPN

摘　　要：It is generally difficult to design feedback controls of nonlinear systems with time delay to meet time domain specifications such as rise time, overshoot, and tracking error. Furthermore, these time domain specifications tend to be conflicting to each other to make the control design even more challenging. This paper presents a cell mapping method for multi-objective optimal feedback control design in time domain for a nonlinear Duffing system with time delay. We first review the multi-objective optimization problem and its formulation for control design. We then introduce the cell mapping method and a hybrid algorithm for global optimal solutions. Numerical simulations of the PID control are presented to show the features of the multi-objective optimal design. @ 2013 The Chinese Society of Theoretical and Applied Mechanics. [doi：10.1063/2.1306306]It is generally difficult to design feedback controls of nonlinear systems with time delay to meet time domain specifications such as rise time, overshoot, and tracking error. Furthermore, these time domain specifications tend to be conflicting to each other to make the control design even more challenging. This paper presents a cell mapping method for multi-objective optimal feedback control design in time domain for a nonlinear Duffing system with time delay. We first review the multi-objective optimization problem and its formulation for control design. We then introduce the cell mapping method and a hybrid algorithm for global optimal solutions. Numerical simulations of the PID control are presented to show the features of the multi-objective optimal design. @ 2013 The Chinese Society of Theoretical and Applied Mechanics. [doi：10.1063/2.1306306]

关 键 词：delayed control system multi-objective optimal design cell mapping method hybridalgorithm Pareto optimal 

分 类 号：O231[理学—运筹学与控制论]