不确定奇异大系统分散鲁棒预测控制

Decentralized robust predictive control for uncertain singular large-scale systems

针对一类不确定奇异关联大系统,讨论了当系统状态不可测时,基于输出反馈的分散鲁棒预测控制问题.通过构造Lyapunov函数以及应用线性矩阵不等式方法,将"min-max"优化问题转化为凸优化问题求解,从而得到了输出反馈分散控制器存在的充分条件和显示表达式.证明了优化问题在初始时刻的可行解能保证奇异闭环大系统渐近稳定且正则无脉冲.仿真结果验证了算法的有效性.

When the system states are unmeasurable, the problem of decentralized robust predictive control with output feedback is studied for the uncertain singular large-scale system with interconnected subsystems. By constructing the Lyapunov function, and with the method of LMIs, the ＂min-max＂ optimization problems are converted into convex programming problems. Then the sufficient conditions for the existence of the decentralized robust output feedback predictive controller are derived. The stability of the closed-loop singular large-scale systems is guaranteed by the initial feasible solutions of the optimization problems. The regular and the impulse-free of singular systems are also hold. Simulation results illustrate the effectiveness of the proposed method.