摘要
针对一类具有状态时滞的线性参数变化离散时间系统,提出了一种新的依赖于参数的Lyapunov稳定条件.该准则通过引入一个附加矩阵解除了系统矩阵与依赖于参数的Lyapunov函数之间的耦合而更易于控制系统的分析与综合。在此基础上设计了此类系统的状态反馈控制器,并将控制器存在的充分条件转化为参数线性矩阵不等式的解存在条件。数值仿真验证了所提出算法的可行性.
New parameter-dependent Lyapunov conditions are proposed for the stability of LPV discrete-
systems with a state delay. These criteria, which enables us to obtain more easily tractable conditions
for the analysis and synthesis of control systems, are achieved by the introduction of a slack variable,
which eliminates the coupling between Lyapunov functions and system matrices. Upon the new condi-
tions, the corresponding state feedback controllers are designed. Sufficient conditions for the existence
of such controllers are established in terms of parameterized linear matrix inequalities. Moreover, a
numerical example is provided to demonstrate the feasibility of the proposed conditions and controllers
design procedure.
出处
《电机与控制学报》
EI
CSCD
北大核心
2004年第1期44-47,共4页
Electric Machines and Control
基金
国家自然科学基金(69874008)
