摘要
针对带有Markov切换的不确定随机分布式时滞系统,结合一个二次性能指标,研究其保成本控制问题。通过利用Lyapunov稳定性理论和线性矩阵不等式方法,针对具有摄动的控制器增益,得到非脆弱保成本控制律的一个时滞相关的充分条件。该控制器能保证闭环系统鲁棒随机稳定和一定的线性二次性能指标上界。数值算例说明了该文方法的有效性。
By introducing a linear quadratic cost function, the robust guaranteed cost control problem for uncertain stochastic systems with distributed delays and Markovian switching is investigated. Via the application of Lyapunov stability theory and the linear matrix inequality techniques, a delay- dependent sufficient condition is given for the existence of the non-fragile guaranteed cost controllers in the cases of additive perturbation. The controller guarantees the robust stochastic stability of the closed-loop system, and the upper bound of quadratic performance. A numerical example is presented to illustrate the effectiveness of the proposed methods.
出处
《南京理工大学学报》
EI
CAS
CSCD
北大核心
2009年第3期293-296,共4页
Journal of Nanjing University of Science and Technology
基金
教育部高等学校博士学科点专项科研基金(20060288021)
关键词
保成本控制
鲁棒控制
时滞系统
非脆弱
分布时滞
随机稳定
guaranteed cost control
robust control
delay systems
non-fragility
distributed delays
stochastic stability
