Asynchronous partially mode-dependent control for switched larger-scale nonlinear systems with bounded sojourn time

• Published in: Applied mathematics and computation Vol. 418; p. 126809
• Main Authors: Li, Jiajia, Tian, Xin, Wei, Guoliang
• Format: Journal Article
• Language: English
• Published: Elsevier Inc 01.04.2022
• Subjects: Asynchronous switching; Inherent nonlinearities; Larger-scale systems; Sojourn probability; Sojourn time; Sojourn time; Sojourn probability; Inherent nonlinearities; Larger-scale systems; Asynchronous switching
• ISSN: 0096-3003; 1873-5649
• DOI: 10.1016/j.amc.2021.126809

•Both the bounded sojourn time and the sojourn probabilities are considered within a unified switching framework to better reflect the change of the interconnections among subsystems in large-scale systems.•A novel structure of mode storage rule is designed to adequately utilize the available modes.•A new stability criterion is obtained with available modes, the sum of these modes’ sojourn probabilities and the bounds of sojourn time.•Under the condition that the corresponding Lyapunov function can be applied to the partially mode-dependent case, an asynchronous controller is designed by using the stochastic information. In this paper, the asynchronous partially mode-dependent control problem is investigated for switched larger-scale systems (SLSSs) with inherent nonlinearities, known sojourn probabilities and bounded sojourn time. The interconnection among subsystems is nonlinear and subject to stochastic switching. The resultant part available mode information is that the modes of controllers and the plant are asynchronous. By introducing a mode storage rule and transforming the asynchronous system into a general switched system, the stability criteria is obtain with available modes, the sum of these modes’ sojourn probabilities and the bounds of sojourn time. Then, some sufficient conditions are derived to guarantee the mean-square stability (MSS) by employing Young inequality and the desired asynchronous controller is designed by using available softwares. At last, an example is provided to illustrate the main methods in this paper.