【摘要】 针对一类动态系统和一类不确定动态系统的镇定问题。利用系统状态矩阵的对称分支,采用李雅普诺夫稳定理论和矩阵理论研究了一般动态系统的镇定及不确定动态系统的稳定鲁棒控制问题。给出了一般动态系统的一种最低阶镇定控制器的设计方法。考虑动态系统的对称系统,给出了不确定动态系统的稳定鲁棒控制,得到了稳定鲁棒控制的不确定量的范数界。利用对系统的对称部分进行镇定的方法能使解Lyapunov方程的计算变得方便。更多还原

【Abstract】 Stabilization for a class of dynamic systems and Robust control for a class of uncertain dynamic systems are considered.The stabili- zation problem of dynamic systems and the stable robust control problem of uncertain dynamic systems are studied by employing Lyapanov stable theory,LMI,H(A)and matrix theory.Design method of a kind of the lowest order stabilization controller for dynamic systems is given.Stable robust controller for uncertain dynamic systems is obtained by considering symmetric systems of dynamic systems.Meanwhile,the norm bound of system uncertainties is given.The method to make the system stabilization,which use the symmetric part of the system can make the compu- tation of solving the Lyapunov equation easily.更多还原