同时具有输入和状态时滞的动态系统可以描述大量工程中的控制对象，具有重要的研究价值。对于仅含输入时滞的控制系统，已经建立的基于预估器反馈或有限谱配置的完备理论，可以完全补偿其输入时滞。但将预估器反馈或有限谱配置理论用于解决同时具有输入和状态时滞的控制系统的时滞补偿问题时，即使对于特殊情况如公度时滞系统，也还存在理论和技术上的困难。与传统的预估器反馈或有限谱配置方法不同，本项目针对同时具有输入和状态时滞的控制系统，研究仅对其输入时滞进行补偿的新问题。项目将在前期研究工作的基础上，建立基于嵌套预估器、预估器-观测器和扩展积分器等三种输入时滞补偿策略，将这类系统转化为仅含有状态时滞且时滞不会增大的时滞系统，并利用转化后不含输入时滞的控制系统的特殊结构和性质建立有效的控制器设计方法。最后，将所提出的输入时滞补偿方法用于航天器姿态和轨道控制系统的设计，期望为相关的工程实践提供一定的技术支持和理论保证。

Dynamic systems with both input and state time delays can be used to describe many control objects in a large number of projects, and thus are of great importance in both theory and practice. For control systems with only input time delays, a complete theory based on predictor feedback or finite spectrum assignment has been established to compensate completely the input delays. However, when the predictor feedback or the finite spectrum assignment theory is used to solve the delay compensation problem for systems with both input and state delays, there are theoretical and technical difficulties even for special cases such as commensurate time-delay systems. In contrast to the traditional predictor feedback or finite spectrum assignment method, this project will study a new problem of compensating only input delays for control systems with both input and state delays. Based on the principle investigator's preliminary studies on this problem, the project will establish three input delay compensation strategies, namely, the nested predictor feedback, predictor-observer feedback and adding integrators based methods. By these methods the systems will be transformed into new systems with only state delays whose sizes will not be enlarged. Effective methods will then be established to design controllers for the delay compensated systems with only state delays by using their special structures and properties. Finally, the proposed input delay compensation methods will be applied to the design of spacecraft attitude and orbital control systems, and it is expected to provide certain technical support and theoretical guarantee for the relevant engineering practice.