中文摘要：

针对输入饱和离散系统由于采用输出反馈而导致的控制器设计存在很强保守性的问题，将凸多面体分析的方法应用于系统吸引域描述中，给出了基于状态的系统可控域的顶点描述和面描述形式，建立了系统输出反馈与基于状态的系统可控域之间的关系；为解决由于不稳定系统输出反馈第一步控制不施加任何控制作用而造成的系统状态可控域大大减小的保守性问题，提出了基于状态观测器的输出反馈非保守控制器设计方法；针对二阶不稳定系统，根据系统输出矩阵及输出初始值的不同情况，给出了输出反馈控制器第一步控制作用的具体形式，并证明了在该控制器作用下，系统的可控域达到最大，从而最大程度减小了控制器的保守性。最后通过Matlab进行了数值仿真实例研究。研究结果验证了所设计控制器的有效性。

英文摘要：

Aiming at solving the problems of conservative output feedback controller design for discrete systems with saturated input, convex polyhedra analysis method was applied to the system in the description of the attractive regions in terms of system states. Controllable region description form was given and the relationship between output feedback and controllable region was investigated. Due to the reason that none control action was applied to first step control of anti-stable system, the controllable region was greatly decreased and the conservatism of the system was caused. For second order anti-stable system, specific forms of the first step of the output feedback controller were proposed based on system output matrix and the initial values of output. Under this controller, the controllable region was maximized and the conservation was decreased in significant ways. Simulation examples were given using Matlab. The results indicate that the proposed method is valid.