Control design of linear systems with variable time-delay based on hysteresis-based switching algorithms and semi-discretization

• Published in: Proceedings of the 29th Chinese Control Conference pp. 363 - 368
• Main Authors: Sheng Jie, Li Haitao, Shao Chenhui, Han Keyong, Chne Zonghai
• Format: Conference Proceeding
• Language: English
• Published: IEEE 01.07.2010
• Subjects: Artificial neural networks; Delay; Hysteresis-based switching algorithms; Linear system with time-varying delay; Linear systems; Nonlinear control; Semi-discretization; Simulation; Switches; Time varying systems
• ISBN: 9781424462636; 1424462630
• ISSN: 1934-1768; 2161-2927

We put forward a new control method combined with semi-discretization and the hysteresis-based switching algorithms for linear system with time-varying delay. Semi-discretization method proposes to discretize the time-delay and consider it to be a constant in a switching period, and treat the rest of the variables as continuous, so the system equation can be described by an ordinary differential equation. Using semi-discretization method, we can design an optimal controller for the system at a specific time. Obviously, optimal controllers vary at different time-delays. Since the time-delay varies with time going, we need to switch among different controllers in order to keep the system stable. As to how to switch, we introduce the hysteresis-based switching algorithm. Moreover, a series of simulation results have proved that this new method is able to give a fine performance in controlling such systems.