输入饱和非线性切换Hamilton系统镇定与H_∞控制

Stabilization and H_∞ control for nonlinear switched Hamiltonian systems subject to actuator saturation

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 stabilization and H_∞ control problems of nonlinear switched Hamiltonian systems( NSHSs) subject to actuator saturation under arbitrary switching paths was investigated. The stabilization of NSHSs with actuator saturation was studied by designing suitable state feedback and deriving a sufficient condition. Then,an H_∞ controller was designed to realize the H_∞ control of NSHSs subject to actuator saturation with external disturbances,under the designed controller,γ-dissipation inequality held for the system with external disturbances,moreover,the globally asymptotical stabilization was achieved for the corresponding closed-loop system without external disturbances. A simulation example showed that the proposed method and results were effective.