Non-fragile event-triggered control of positive switched systems with random nonlinearities and controller perturbations

• Published in: Bulletin of the Polish Academy of Sciences. Technical sciences Vol. 69; no. 5
• Main Authors: Wu, Yanqi, Zhang, Junfeng, Fu, Shizhou
• Format: Journal Article
• Language: English
• Published: Warsaw Polish Academy of Sciences 2021
• Subjects: Control systems; Controllers; Event triggered control; Liapunov functions; Linear programming; non-fragile event-triggered control; Nonlinearity; Perturbation; positive switched systems; random controller perturbations; random nonlinearities; Subsystems
• ISSN: 0239-7528; 2300-1917
• DOI: 10.24425/bpasts.2021.138566

This paper investigates the non-fragile event-triggered control of positive switched systems with random nonlinearities and controller perturbations. The random nonlinearities and controller perturbations are assumed to obey Bernoulli and Binomial sequence, respectively. A class of linear event-triggering conditions is introduced. A switched linear co-positive Lyapunov function is constructed for the systems. For the same probability with respect to nonlinearities and controller perturbations in each subsystem, a non-fragile controller of positive switched systems is designed in terms of linear programming. Then, the different probability case is considered and the corresponding non-fragile event-triggered control is explored. Finally, the effectiveness of theoretical findings is verified via two examples.