针对一类带有随机时延的输入受限多面体不确定网络控制系统,提出了一种鲁棒模型预测控制算法.假设随机网络时延为Markov链,并考虑Min-Max无穷时域性能指标,用线性矩阵不等式方法给出了依赖于模态的状态反馈控制器.基于Lyapunov方法,得到了保证可行性和鲁棒随机稳定性的条件.仿真结果验证了算法的有效性.
A robust model predictive control algorithm for polytopic uncertain networked control systems with random time-delay and input constraint is presented. Considersing the Min-Max infinite horizon cost function while the random network delay is assumpted as Markov chain, the mode-dependent state feedback controller is proposed, according to linear matrix inequalities. The condition for the feasibility and robust stochastic stability of the algorithm is given based on Lyapunov function method. The simulation shows the effectiveness of the proposed algorithm.