一类不受控离散事件驱动不确定线性切换系统优化控制

Optimization control of a class of switched linear uncertain systems driven by uncontrollable discrete-events

考虑一类不受控离散事件驱动不确定约束线性切换系统,提出具有任意切换特性的约束优化控制策略.引入有限时域性能函数,定义约束最优控制问题.为降低控制器的在线计算量,通过参数化方法压缩最优控制问题决策变量的维数.应用公共Lyapunov函数和控制Lyapunov函数理论建立的闭环切换系统,具有对不确定扰动和不受控切换信号的渐近稳定性和逆最优性.最后通过算例仿真验证了结果的有效性.

The optimization control scheme with the arbitrary switching feature is proposed for a class of switched linear uncertain systems driven by uncontrollable discrete-events. By using a finite horizon cost function, a constrained optimal control problem is defined. In order to reduce the computational load of controllers, the parameterization method is used to compress the decision variables of the optimization problem. By using the theory of common Lyapunov function and the control Lyapunov function, the closed-loop switched system is shown to be asymptotically stable and inversely optimal with respect to the uncertainty and the uncontrollable switching signal. An example is used to the effectiveness of the results obtained.