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针对存在时变采样周期和时延的网络化控制系统,讨论混合鲁棒H2/H∞控制性能约束下控制问题.通过矩阵Jordan变换,将时变采样周期和时延的不确定性转变为系统参数的不确定性,建立了离散时间凸多面体不确定系统模型.利用矩阵不等式方法,设计了满足混合鲁棒H2/H∞性能的控制状态反馈控制器.对不稳定的连续时间系统,该控制器能使闭环系统保持渐近稳定并对外界干扰具有良好的抑制性.控制器存在的充分条件和具体参数通过求解线性矩阵不等式给出,计算简单.数值仿真结果表明所设计控制器的有效性.
Aiming at the networked control system with time varying sampling period and delay, the control problem under hybrid robust H2 / H∞ control performance constraints is discussed. The matrix Jordan transform is used to transform the uncertainty of time-varying sampling period and delay into a system The uncertain system model of discrete-time convex polyhedron is established. Using the matrix inequality method, a control state feedback controller that satisfies the hybrid robust H2 / H∞ performance is designed. For an unstable continuous-time system, the control The closed-loop system can be asymptotically stable and has good suppression of external disturbances.The sufficient conditions and specific parameters of the controller are given by solving the linear matrix inequality and the calculation is simple.The simulation results show the effectiveness of the proposed controller .