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Yiqiang LI,Xing ZHANG,Yaobin CHEN,Huixing ZHOU.[en_title][J].Control Theory and Technology,2012,10(3):365~370.[Copy]
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YiqiangLI,XingZHANG,YaobinCHEN,HuixingZHOU
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(Department of Engineering Mechanics, Tsinghua University;Department of Electrical and Computer Engineering, Indiana University-Purdue University at Indianapolis (IUPUI);School of Engineering, China Agricultural University)
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Received:March 11, 2010Revised:February 28, 2011
基金项目:This work was partly supported by the China Scholarship Council (No. 2007103188).
Particle swarm optimization for time-optimal control design
Yiqiang LI,Xing ZHANG,Yaobin CHEN,Huixing ZHOU
(Department of Engineering Mechanics, Tsinghua University;Department of Electrical and Computer Engineering, Indiana University-Purdue University at Indianapolis (IUPUI);School of Engineering, China Agricultural University)
Abstract:
In this paper, a particle swarm optimization (PSO) based method is proposed to obtain the time-optimal bang-bang control law for both linear and nonlinear systems. By introducing a penalty function, the method can be modified to deal with systems with constraints. Compared with existing computational methods, the proposed method can be implemented in a straightforward manner. The convergent solutions can be achieved by selecting suitable PSO parameters regardless of the initial guess of the switching times. A double integrator and a third-order nonlinear system are used to demonstrate the effectiveness and robustness of the proposed method. The method is applied to obtain the time-optimal control law for a high performance linear motion positioning system. The results show the practicality of the proposed algorithm.
Key words:  Optimal control  Bang-bang control  Particle swarm optimization  Switching time computation