广义双线性系统状态观测器的设计

Design of state observer for generalized bilinear systems

针对输入受约束的广义双线性系统进行了研究,提出了采用极点配置的方法来设计广义双线性系统状态观测器,得到了广义双线性系统状态观测器存在的充分条件,保证了观测误差Lyapunov意义下渐近稳定。此外,给出了广义双线性系统状态观测器的设计方法的具体步骤,通过一个数值算例说明了设计方法的合理性和有效性。

A generalized bilinear system （SBS） with bounded inputs is considered, the design of state observers for SBS is presented by pole assignment methods, the sufficient condition of existence of state observers for SBS is obtained, and the observe error to be Lyapunov asymptotically stable is guaranteed. Furthermore, the Specific process of the designing method of state observers for SBS is given, the rationality and the effectiveness of the designing method are illustrated by a numerical example.