关键词: 线性参数变化, 随机丢包, [H&infin, ]控制, 线性矩阵不等式（LMI）, H&infin, 性能指标

Abstract: This paper investigates the observer-based [H∞] control problem of Linear Parameter-Varying（LPV） systems with global Lipschitz nonlinearities and random communication packet losses. In this paper, the random packet loss is modeled as a Bernoulli distributed white sequence with a known conditional probability distribution. Based on Lyapunov stability theory, sufficient conditions for the existence of an observer-based feedback controller are derived in the presence of random packet losses, such that the closed-loop networked LPV system is exponentially stable in the mean-square sense, and a prescribed [H∞] disturbance-rejection-attenuation performance is also achieved. Then the approximate basis function and the grid technique are used to make the problem of solving an infinite-dimensional linear matrix inequalities be approximated as a finite-dimensional linear matrix inequalities. Then a Linear Matrix Inequality（LMI） approach for designing such an observer-based [H∞] controller is proposed. Finally, the effectiveness of the proposed method is verified by numerical simulation.

Key words: linear parameter-varying, random packet-dropout, [H∞] control, Linear Matrix Inequality（LMI）, [H∞] performance