Non-fragile asynchronous H∞ control for uncertain stochastic memory systems with Bernoulli distribution

作者：Luo, Jinnan^*; Tian, Wenhong^*; Zhong, Shouming; Shi, Kaibo; Chen, Hao; Gu, Xian-Ming; Wang, Wenqin

来源：Applied Mathematics and Computation, 2017, 312: 109-128.

DOI：10.1016/j.amc.2017.05.003

• Asynchronous control
• Bernoulli distribution
• H-infinity control
• Randomly occurring uncertainties
• Uncertain stochastic memory systems

This study constructs and investigates the non-fragile asynchronous H-infinity control for uncertain stochastic memory systems with Bernoulli distribution. The system not only contains the randomly occurring uncertainties of all parameters (ROUAPs) and stochastic disturbances in the system model, but also includes randomly gain perturbations in the controller. By introducing the stochastic variables, a new model structure is built obeying Bernoulli distribution to describe the system and the controller. Moreover, a modified Lyapunov-Krasovsldi LKF) is constructed, combining Ito's differential formula and free-weighting matrix method, less conservative results are presented in terms of the linear matrix inequality (LMI). Furthermore, an observer-based non-fragile asynchronous H-infinity controller is designed without any limits on the system parameters. Finally, three numerical examples are provided to demonstrate the effectiveness and feasibility of the proposed results.

• 出版日期2017-11-1
• 单位天津工业大学; 成都大学; 电子科技大学; 西南民族大学