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Wen-Yong Duan,Baozhu Du,Yan Li,Cuifeng Shen,Xuelai Zhu,Xiaofan Li,Jian Chen 제어·로봇·시스템학회 2018 International Journal of Control, Automation, and Vol.16 No.5
In this paper, we focus on the problem of the absolute and robustly absolute stability for the neutraltype Lur’e system with time-varying delay. By combining the piecewise analysis theory with extended doubleintegral and Wirtinger-based inequalities technology, some new delay-dependent stability criteria for the absolute and robustly absolute stability are proposed via Lyapunov-Krasovskii functional (LKF) approach. The stability conditions can be expressed as convex linear matrix inequality (LMI) framework, which can be solved by using standard LMI convex optimization solvers. The criteria proposed in this paper are less conservative than some previous ones. Finally, some numerical examples are presented to show the effectiveness of the proposed approach.
Wen-Yong Duan,Yan Li,Jian Chen,Baozhu Du 제어·로봇·시스템학회 2021 International Journal of Control, Automation, and Vol.19 No.2
This paper deals with a robust stability problem for uncertain Lur’e systems with time-varying delays and sector-bounded nonlinearities. An improved delay-dependent robust stability criterion is proposed via a modified Lyapunov-Krasovskii functional (LKF) approach. Firstly, a modified LKF consisting of delay-dependent matrices and double-integral items under two delay subintervals is constructed, thereby making full use of the delay and its derivative information. Secondly, the stability criteria can be expressed as convex linear matrix inequality (LMI) via the properties of quadratic function application. Thirdly, to further reduce the conservatism of stability criteria, the quadratic generalized free-weighting matrix inequality (QGFMI) is used. Finally, some numerical examples, including the Lur’e system and the general linear time-delayed system, are presented to show the improvement of the proposed approach.
Pengxu Li,Panshuo Li,Bin Zhang,Jing Zhao,Baozhu Du 제어·로봇·시스템학회 2021 International Journal of Control, Automation, and Vol.19 No.1
This paper presents a control strategy to enhance the lateral dynamics stability and handling performanceof the four-wheel independently actuated (FWIA) electric vehicles (EVs). The vehicle longitudinal velocity uncertainty and controller saturation are considered, a double layers control scheme is adopted. In the upper layer,the homogeneous polynomial parameter-dependent approach is introduced to track the uncertainty problem, anda multi-objective controller is designed to obtain the desired external yaw moment. In the lower layer, an optimalforce distribution method with considering the distribution error and tire workload is employed to allocate the desired external yaw moment into forces of the four in-wheel motors. Simulation results verify the effectiveness ofthe proposed control strategy