中文摘要：

对于混沌系统的控制问题,考虑到控制系统能量限制的要求,首先确立一个二次目标函数,然后给出了求解最优控制律的一个简单方法,该方法通过求解线性二次最优控制问题,获得了混沌系统的最优控制律,避免了求解非线性Hamilton-Jacobi-Bellman偏微分方程（HJB方程）的困难.利用Lyapunov方法证明了闭环系统的稳定性.对统一混沌系统和Liu混沌系统的仿真结果表明了控制策略的有效性.

英文摘要：

For chaos control problem,in accordance with the constraints of control system energy,a quadratic objective function is first determined,and then a simple method for obtaining the optimal control law is proposed.This method gives the optimal control law by solving linear quadratic optimal control problem and avoids the difficulty of solving Hamilton-Jacobi-Bellman equation.Using Lyapnuov method,we prove the stability of the closed-loop system.For the unified chaotic system and Liu chaotic system the simulation results show the effectiveness of the control method.