具有时变状态滞后2-D离散系统的稳定与镇定(英文)  

Stability and Stabilization of 2-D Discrete Systems with Time-varying State Delays

作　　者：彭丹[1] 

机构地区：[1]燕山大学理学院,河北秦皇岛066004

出　　处：《控制工程》2012年第3期438-442,共5页Control Engineering of China

基　　金：Supported by National Natural Science Foundation of China(60804030,60974018,NCET-08-0658);Natural Science Foundation of Hebei Province(Z2011153);Higher Science and Technology Research and Development projects of Qinhuangdao(201101A107)

摘　　要：针对一类由局部状态空间(LSS)Fornasini-Marchesini(FM)第二模型描述的,具有时变状态滞后的2-D离散系统,其中时变滞后项的上、下界均为正实数,研究了其稳定性和控制综合问题。首先,利用Lyapunov-Krasovski泛函方法,提出了系统的稳定性准则。再根据这一准则,分别设计状态反馈和动态输出反馈控制器保证系统的稳定性。状态反馈控制律和输出反馈矩阵可由线性矩阵不等式(LMI)求得。最后,通过数值算例说明所得结果的有效性。The stability and stabilization problems for a class of two - dimensional （ 2-D ） discrete sys- tems with time - varying state delays are addressed. The 2-D systems are described by a local state - space（LSS） Fornasini- Marchesini （FM）second model, where the time-varying state delays are assumed to vary in an interval with known positive real upper and lower bounds. By using the well-known Lyapunov-Krasovski functional approach, a stability criterion is established . Then, a state feedback controller and a dynamic output feedback controller are designed to assure the stability of 2-D time - varying systems, respectively. The state feedback gain and output feedback matrices can be obtained by solving linear matrix inequalities （LMIs）. Finally, numerical examples are given to demonstrate the effectiveness of our results.

关 键 词：2-D时变系统 渐近稳定 状态反馈 输出反馈 线性矩阵不等式(LMI) 

分 类 号：TP27[自动化与计算机技术—检测技术与自动化装置]