非齐次Markovian跳变模糊系统的H_(∞)控制

H_(∞) control for uncertain nonhomogeneous Markovian jump fuzzy systems

研究连续时间上的一类不确定非齐次Markovian跳变随机奇异区间二型模糊系统的随机稳定问题。假设状态项、输入项、扰动项和耗散项中出现的不确定矩阵是有界的。首先,根据Lyapunov稳定性定理并结合矩阵不等式原理研究带有Markovian跳变的区间二型模糊系统的性能指标;其次,运用矩阵不等式放缩方法给出系统随机容许的充分条件,并设计一种满足H∞性能指标的状态反馈控制器;最后,通过数值仿真验证了设计方法的可行性。

The problem of stochastic stabilization of a class of uncertain non-homgeneous Markovian jump stochastic singular IT2 fuzzy systems are studied.The parameter uncertainties appearing in state,input,disturbance as well as diffusion terms are assumed to be norm bounded.Firstly,according to the Lyapunov stability theorem and the principle of matrix,the performance index of the interval type-2 fuzzy system with Markovian jumps is studied.Furthermore,the desired state feedback H∞ controller is presented by matrix inequality.Finally,A numerical examples is finally given to proof the feasibility of the design method.