Periodic Event-Triggered Control for Linear Systems in the Presence of Cone-Bounded Nonlinear Inputs: A Discrete-Time Approach

[摘要] This paper presents an observer-based periodic event-triggered strategy for linear systems subject to input cone-bounded nonlinearities. Considering a discrete-time framework, conditions in the form of linear matrix inequalities are derived to ensure global or regional stability of the origin of the closed-loop system under the event-triggered control strategy. These conditions are cast into convex optimization problems to determine the event-triggering function parameters, aiming at reducing the number of control updates with respect to periodic implementations. Both the emulation and the co-design problems are addressed. Numerical examples with logarithmic quantization and saturation nonlinearities are presented to illustrate the method.

[学科分类] 自动化工程

[关键词] Event-triggered control;Cone-bounded nonlinearities;Observers;LMIs;Co-design