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研究了输入饱和非线性切换Hamilton系统在任意切换路径下镇定与H_∞控制问题。设计合适的状态反馈并提出充分条件,实现输入饱和非线性切换Hamilton系统的镇定问题。设计系统的H_∞控制器,进一步研究带外部干扰的输入饱和非线性切换Hamilton系统H_∞控制问题,在该控制器作用下,系统存在外部干扰时,γ-耗散不等式成立,无外部干扰时,闭环系统全局渐近稳定。仿真实例验证了研究方法和结果的有效性。
The problem of stabilization and H_∞ control of Hamiltonian systems with switched nonlinear inputs under arbitrary switching paths is studied. The appropriate state feedback is designed and sufficient conditions are put forward to achieve the stabilization of nonlinear Hamiltonian switched systems with input saturation. The H_∞controller of the system is designed to further study the H_∞control problem of the Hamiltonian system with switched nonlinear inputs and external disturbances. Under the control of the controller, when the system has external disturbance, the γ-dissipation inequality holds and no external disturbance exists , The closed-loop system is globally asymptotically stable. The simulation results verify the validity of the research methods and results.