不确定网络控制系统的保性能可靠控制

针对网络传输过程中存在时延、丢包和错序等非理想网络状况的网络控制系统模型,研究了系统的鲁棒稳定性控制问题,基于Lyapunov稳定性理论,得到了状态反馈形式的鲁棒控制律.并且针对执行器可能发生故障的情况,通过引入故障矩阵,研究了系统的保性能可靠控制.利用线性矩阵不等式(LMI)方法和锥补线性化迭代(CCL)算法,将非凸优化问题转化为凸优化问题,求得一组性能指标上界的次优解.最后通过MATLAB数值仿真实例,验证了文中所用方法的正确性和有效性.

Guaranteed cost reliable control for networked control systems with uncertainty

During the information transmission in network,there exist time-delay,data packet dropout,and mis-sequence.Considering these nonideal facts,a networked control system model is concerned,and the robust stablity of system control is researched.Based on the Lyapunov stability theory,the guaranteed cost reliable control is researched by introducing a failure matrix.Using a cone complementary linearization iterative algorithm(CCL),a convex optimization problem is formulated to design the suboptimal reliable guaranteed cost controller which minimizes the upper bound of the closed-loop system cost.Finally,a numerical example with MATLAB shows the effectiveness and feasibility of the proposed approaches.