摘要
考虑线性时滞系统输出动态反馈H∞控制问题,通过求解动态反馈控制器以实现给定的干扰抑制水平及指数稳定性.基于适当的状态变换,结合相应的Lyapunov-Krasovskii泛函设计方法,导出了以双线性矩阵不等式表述的检验控制器与泛函存在性的时滞相关性判据,较之于时滞无关性条件具有较小的保守性.通过引入待定参数集的方法,实现控制器与泛函的适当参数化,从而利用矩阵变换与运算技巧将控制器与泛函的存在性判据归结为关于参数集的线性矩阵不等式可解性条件,其数值解可以通过凸优化算法有效地求解.
The output dynamic H-infinity control is considered for linear time-delay systems. The problem is to find a dynamic controller to make closed system be exponentially stable in prescribed disturbance attenuation level. Based on a proper state transformation and corresponding construction of Lyapunov-Krasovskii functional, a delay-dependent existence criterion of the controller and functional is established in terms of Bilinear Matrix Inequality （BMI）, which is less conservative than the delay-independent results, however, the feasibility test of BMI is a NP hard problem. Furthermore, a family of parameters is employed to properly parameterize the controller and functional, combined with the matrix transformation and operation, the existence criterion of controller and functional is converted to a linear matrix inequality （LMI） with respect to this family of parameters, the numerical solution of which can be effectively solved by the convex optimization technique. Finally, the controller and functional are explicitly formulated with this family of parameters.
出处
《河南理工大学学报（自然科学版）》
CAS
2006年第5期411-414,共4页
Journal of Henan Polytechnic University（Natural Science）
关键词
时滞系统
鲁棒控制
参数化
线性矩阵不等式
time-delay systems
robust control
parameterization
linear matrix inequality
