【摘要】 针对一类复杂的多时滞不确定系统,在控制器增益存在加性和乘性两种摄动形式时,分别设计了非脆弱H∞鲁棒控制器,利用构造的Lyapunov函数和线性矩阵不等式,证明并给出了非脆弱H∞鲁棒控制问题有解的充分条件.所设计的控制器使系统具有鲁棒性,能满足所给H∞范数指标,而且当控制器增益参数变化时,系统性能指标同样能够满足要求.该系统对环境参数的变化具有更好的适应能力.算例仿真结果表明,系统对不确定参数变化及控制器增益摄动都具有鲁棒性,对大幅度的干扰波动具有很强的抗扰动能力.更多还原

【Abstract】 The non-fragile H_∞ robust controller was designed for a class of complex uncertain systems with multiple delay time under additive and multiplicative perturbations of controller gain.A sufficient condition for the solvability of the non-fragile H_∞ robust control problem was proved and presented by a proper Lyapunov function and linear matrix inequalities.The systems under action of the given controller are robust and satisfy H_∞ performance,moreover,also satisfy proper performance when controller changes,and thus have better adaptability against variety of the environment parameters.Simulation results illustrate that the systems are robust to both the uncertainty of parameters and perturbations of controller gain,meanwhile,have the ability to attenuate the large scope disturbance.更多还原