非线性调节器的进一步结果及鲁棒性分析

Further Results of Nonlinear Regulator and Robustness Analysis

利用返回差条件 ,借助配方方法讨论非线性系统达到最优调节所必须满足的充要条件。通过解Hamilton- Jacobi方程获得一种新的非线性最优调节设计方法 ,并证明该方法对模型的不确定性具有较强的鲁棒性。仿真结果验证了该设计方法的有效性。

A necessary and sufficient condition for nonlinear systems to achieve optimal regulator is given by using the return difference condition and completion of the squares argument. A new design method is proposed for optimal regulator via solving Hamiltonian Jacobi equation. The robustness to model uncertainty is proved. A simulation example shows that this method is useful and efficient.