ABSTRACT To deal with the problem of conflicting requirements that cannot be satisfied by only a single LTI controller, this paper focuses on the design of a switching controller, which includes several stabilising linear time-invariant (LTI) controllers designed independently with different control performance criteria, for a specific LTI plant with a single I/O delay. The switching controller design procedure is divided into three steps. First, using simple loop shifting arguments, the design problem is reducible to an equivalent delay-free one. Second, traditional LTI controller synthesis methods could be considered independently for the delay-free plant. Third, based on a quadratically stable state space realisation method, a Youla parameter including a switching strategy with these controllers is designed to guarantee different requirements. Finally, a numerical example is provided to demonstrate the validity and efficiency of the approach.

中文翻译：

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具有单 I/O 延迟的线性时不变设备的开关控制器设计

摘要 为了解决仅由单个 LTI 控制器无法满足的需求冲突问题，本文重点研究了开关控制器的设计，其中包括多个具有不同控制性能标准的独立设计的稳定线性时不变 (LTI) 控制器。 ，对于具有单个 I/O 延迟的特定 LTI 设备。开关控制器设计过程分为三个步骤。首先，使用简单的循环移位参数，设计问题可以简化为等效的无延迟问题。其次，对于无延迟设备，可以独立考虑传统的 LTI 控制器综合方法。第三，基于二次稳态空间实现方法，设计了包含这些控制器的切换策略的Youla参数，以保证不同的要求。