Optimal control of switched linear systems based on Migrant Particle Swarm Optimization algorithm
Fuqiang Xie, Yongji Wang, Zongzhun Zheng, Chuan‐Feng Li · Proceedings of SPIE, the International Society for Optical Engineering/Proceedings of SPIE · 2009
The optimal control problem for switched linear systems with internally forced switching has more constraints than with externally forced switching. Heavy computations and slow convergence in solving this problem is a major obstacle. In this paper we describe a new approach for solving this problem, which is called Migrant Particle Swarm Optimization (Migrant PSO). Imitating the behavior of a flock of migrant birds, the Migrant PSO applies naturally to both continuous and discrete spaces, in which definitive optimization algorithm and stochastic search method are combined. The efficacy of the proposed algorithm is illustrated via a numerical example.