We present a robust synthesis algorithm for uncertain linear time‐varying (LTV) systems on finite horizons. The uncertain system is described as an interconnection of a known LTV system and a perturbation. The input–output behavior of the perturbation is specified by time‐domain Integral Quadratic Constraints (IQCs). The objective is to synthesize a controller to minimize the worst‐case performance. This leads to a nonconvex optimization. The proposed approach alternates between an LTV synthesis step and an IQC analysis step. Both induced and terminal Euclidean norm penalties on output are considered for finite horizon performance. The proposed algorithm ensures that the robust performance is nonincreasing at each iteration step. The effectiveness of this method is demonstrated using numerical examples.

中文翻译：

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使用积分二次约束的有限层鲁棒综合

我们为有限范围内的不确定线性时变（LTV）系统提供了一种鲁棒的综合算法。不确定系统描述为已知LTV系统和扰动的互连。扰动的输入输出行为由时域积分二次约束（IQC）指定。目的是合成一个控制器，以最大程度地降低最坏情况下的性能。这导致非凸优化。所提出的方法在LTV合成步骤和IQC分析步骤之间交替。有限水平性能考虑了对输出的诱导和最终欧几里得范式惩罚。所提出的算法确保了在每个迭代步骤中鲁棒性能都不会提高。通过数值实例证明了该方法的有效性。