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研究一类其不确定性满足范数有界分解条件的时滞系统的H∞ 鲁棒控制器设计问题。通过引入附加向量得到增广时滞系统 ,从而利用增广Riccati方程方法实现系统的等效二次鲁棒镇定和H∞ 镇定的约束条件。该方法对增广Riccati方程的求解克服了一般性的Riccati方程求解需要盲目试凑的局限性。最后的数值例子进一步说明了该方法的有效性
A class of H ∞ robust controller design problems for a class of time-delay systems with uncertainties satisfying the bounded norm decomposition norm is studied. By introducing additional vectors, an augmented time-delay system is obtained, which makes use of the augmented Riccati equation to achieve the equivalent quadratic robust stabilization and H∞ stabilization constraints. The method solves the augmented Riccati equation and overcomes the limitations of the general Riccati equation for blind trial. The final numerical example further illustrates the effectiveness of the method