混杂切换Hamilton系统的H_∞控制

H_∞ control strategy for hybrid and switched Hamiltonian systems

研究含无穷个子模型的混杂切换Hamilton系统在(任意)切换路径下的H∞控制问题.对于系统存在外部干扰的情况,利用耗散Hamilton结构特性,给出系统在(任意)切换路径下的H∞控制器的设计方案;并将新结果用于一般非线性混杂切换系统中,得到了该类系统的H∞控制器.仿真例子验证了所得结果的正确性和实用性.

Based on the Hamiltonian structural properties, an H∞ control scheme is obtained for hybrid and switched Hamiltonian systems with infinite subsystems under （arbitrary） switching paths. By utilizing the new result obtained, an H∞ controller is designed for ordinary nonlinear hybrid and switched systems under exterior interference. An example with numerical simulations shows that the new controller obtained here is very effective.