摘要
针对含仿射型不确定广义系统状态的观测器设计问题,利用不确定广义系统的已知信息通过插值法为不确定广义系统设计一个奇异全阶观测器,而且此观测器是仿射二次稳定的。观测器的状态和增益矩阵通过参数的线性插值得到,估计误差通过仿射参数独立的Lyapunov函数确定,且系统重构误差是仿射二次稳定的。给出数值仿真算例验证该算法的有效性。
The observer design for the affine uncertain descriptor systems is investigated. Employing the known information of the given system, a full-order singular observer for the affine uncertain descriptor system is designed by using an interpolation approach, and the observer is affine quadratic stable. The state and gain matrices of the observer are derived by using linear interpolation approach. The stability of the estimation error is based on the existence of an affine parameter-dependent Lyapunov function and the restructure error is affine quadratic stable. A numerical example is presented to illustrate the algorithmic validity.\;
出处
《系统工程与电子技术》
EI
CSCD
北大核心
2004年第5期641-643,696,共4页
Systems Engineering and Electronics
关键词
广义系统
观测器
线性插值
仿射二次稳定
descriptor systems
observer
linear interpolation
affine quadratic stable