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本文主要讨论了带有未知不确定参数的线性系统的H_∞鲁棒控制问题,这里假定其中的不确定性是时变有界的,并同时存在于系统的状态矩阵和输入矩阵中,文中提出了一种同时使受控对象保持二次稳定并满足干扰约束的状态反馈设计方法。结果表明,该类反馈控制律可以通过求解一个含有参数的代数Riccati方程得到。
This paper mainly discusses the H ∞ robust control of linear systems with unknown uncertain parameters. It is assumed here that the uncertainties in this paper are time-invariant and bounded and exist in the system’s state matrix and input matrix. A state feedback design method that keeps the controlled object quadratic stable and satisfies the interference constraint is presented. The results show that this type of feedback control law can be obtained by solving an algebraic Riccati equation with parameters.