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针对具有参数不确定性的非线性系统,研究其参数H∞控制问题.首先,当外界扰动输入为零时,利用非线性代数方程给出非线性系统平衡点存在区域;然后,当外界扰动输入不为零时,设计状态控制器,通过Lyapunov函数法,推导出使闭环系统参数稳定且满足H∞性能指标的充分条件.仿真结果表明,所设计的H∞控制器能有效地稳定非线性系统,并且具有一定的H∞性能指标.
For a nonlinear system with parameter uncertainty, the parameter H∞ control problem is studied.Firstly, when the external disturbance input is zero, the existence of the equilibrium point of the nonlinear system is given by the nonlinear algebraic equation. Then, when the external disturbance input The non-zero state controller is designed to obtain the sufficient conditions for the closed-loop system parameters to be stable and meet the H∞ performance by Lyapunov function method. The simulation results show that the designed H∞ controller can effectively stabilize the nonlinear system , And has certain H∞ performance index.