不确定线性系统混合H_2 /H_∞ 鲁棒输出反馈控制

Mixed H_2/H_∞ Robust Output Feedback Control for Uncertain Linear Systems

解决了在系统状态空间模型的状态与输出矩阵中含有范数有界参数不确定线性系统的混合H2 /H∞ 鲁棒输出反馈控制问题 .所推导的满阶控制器对于所有可容许的参数不确定都能满足给定的H∞ 干扰衰减水平 ,且为最坏情形H2 代价函数提供了一个最优的上界 .所得的结果需要求解一个含有尺度参数的修正代数Riccati方程以及三个含有尺度参数的交叉耦合非线性方程 .而且 ,也给出了一个求解这些含有尺度参数非线性方程的数值算法 .

The paper deals with the mixed H 2/H ∞ robust output feedback control problem for linear systems subject to norm bounded parameter uncertainty in both the state and the output matrices of the state space model. The full order controllers derived are not only guaranteed to satisfy a pre specified H ∞ disturbance attenuation level for all admissible parameter uncertainties, but also provide an optimized bound for the worst case H 2 cost function. The obtained results require the solutions of one parameter dependent algebraic Riccati equation and three coupled parameter dependent nonlinear equations. A numerical algorithm for solving these parameter dependent nonlinear equations is also presented.