基于标度小增益定理的离散时滞模糊系统可靠H_∞控制  

Reliable H_∞ control for discrete-time delayed fuzzy systems via scaled small gain theorem

作　　者：王申全 冯健[1] 姜玉莲[1] 

机构地区：[1]东北大学信息科学与工程学院,辽宁沈阳110819

出　　处：《控制理论与应用》2014年第3期343-351,共9页Control Theory & Applications

基　　金：国家自然科学基金资助项目(61273164;61034005);国家高技术研究发展计划资助项目(2012AA040104);中央高校基本科研业务费资助项目(N120504002);辽宁省自然科学基金资助项目(2013020042)

摘　　要：本文利用输入–输出方法,研究了带有时变时滞和执行器故障的离散T–S模糊系统可靠H∞控制问题,并使用一种更切合实际的离散齐次马尔可夫链来表示执行器故障的随机行为.首先,利用一类新的模型变换方法,将离散时滞T–S模糊系统转换为互联的两个子系统.然后,利用标度小增益定理分析互联子系统的随机稳定性.通过构造参数依赖的Lyapunov函数,给出闭环系统输入–输出均方稳定且满足H∞性能的充分条件及可靠H∞控制器的设计方法.最后,给出两个数值例子验证所提方法的有效性.The reliable H∞ control is investigated for discrete-time T-S （Takagi-Sugeno） fuzzy systems with timevarying delay and actuator faults based on input-output approach.A realistic discrete-time homogeneous Markov chain is used to represent the stochastic behavior of actuator faults.First,the discrete-time delayed T-S fuzzy system is transformed to the form of interconnected two subsystems by a new model transformation.Furthermore,the scaled small gain theorem is employed to analyze the stochastic stability of interconnected subsystems.By constructing a parameter-dependent Lyapunov function,we established sufficient conditions for achieving input-output mean-square stability with H∞ performances.Meanwhile,the reliable H∞ fuzzy controller design method is also presented.Two numerical examples are provided to demonstrate the effectiveness of the proposed approach.

关 键 词：T-S模糊系统 可靠控制 输入-输出方法 标度小增益定理 时变时滞 

分 类 号：TP13[自动化与计算机技术—控制理论与控制工程]