事件驱动的网络化系统最优控制

Optimal control for event-triggered networked control systems

针对随机事件驱动的网络化控制系统,研究其中的有限时域和无限时域内最优控制器的设计问题.首先,根据执行器介质访问机制将网络化控制系统建模为具有多个状态的马尔科夫跳变系统;然后,基于动态规划和马尔科夫跳变线性系统理论设计满足二次型性能指标的最优控制序列,通过求解耦合黎卡提方程的镇定解,给出最优控制律的计算方法,使得网络化控制系统均方指数稳定;最后,通过仿真实验表明了所提出方法的有效性.

The finite and infinite horizon optimal control problem is studied for networked control systems wherein actuators are activated in groups by a stochastic event. The system is built as a switching Markov jump linear system according to the medium access mechanism of actuators. Based on the theory of Markovian jump linear system and dynamic programming, the optimal control sequence is derived to satisfy the quadratic performance index. The calculation technique of optimal control law is given by solving stabilizing solutions of coupled Riccati equations to achieve the stability of networked control systems in the exponentially mean square sense. Finally, a numerical example is given to demonstrate the effectiveness of the proposed method.