Both centralised and decentralised stabilisation of multi-input multi-output linear time-invariant (LTI) systems with discrete time-delays are considered. No restriction has been made on the number and type of the time-delays. The main objective is to design LTI finite-dimensional static/dynamic stabilising centralised/decentralised output feedback controllers. For this, the decentralised pole assignment algorithm developed for decentralised stabilisation of finite-dimensional systems is extended to the time-delay case. In this approach, decentralised controllers are designed sequentially, where a centralised design approach is used in each step. As the centralised design approach, the eigenvalue optimisation-based stabilisation method is utilised. Regarding the nonconvexity of the optimisation problem, an initialisation procedure, which determines the minimum possible dimension of the stabilising controller and the initial controller parameters, is developed. As a particular case of dynamic output feedback, the decentralised proportional-integral control is also considered. The proposed controller design methods are verified through numerical and practical examples.

考虑了具有离散时滞的多输入多输出线性时不变（LTI）系统的集中式和分散式稳定。对延时的数量和类型没有限制。主要目标是设计 LTI 有限维静态/动态稳定集中/分散输出反馈控制器。为此，为有限维系统的分散稳定而开发的分散极点分配算法扩展到时滞情况。在这种方法中，分散式控制器是按顺序设计的，其中每个步骤都使用集中式设计方法。作为集中设计方法，使用了基于特征值优化的稳定方法。关于优化问题的非凸性，初始化过程，确定了稳定控制器的最小可能尺寸和初始控制器参数。作为动态输出反馈的一种特殊情况，分散的比例积分控制也被考虑在内。通过数值和实际例子验证了所提出的控制器设计方法。