不确定动态混沌系统的最优控制

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.

Optimal control for uncertainty dynamic chaotic systems

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.