Dynamic Event-Triggered Control for Nonlinear Systems: A Small-Gain Approach

• Published in: Journal of systems science and complexity Vol. 33; no. 4; pp. 930 - 943
• Main Authors: Zhao, Qingtao, Sun, Jian, Bai, Yongqiang
• Format: Journal Article
• Language: English
• Published: Beijing Academy of Mathematics and Systems Science, Chinese Academy of Sciences 01.08.2020; Springer Nature B.V
• Subjects: Complex Systems; Computer simulation; Control; Control systems; Dynamic stability; Event triggered control; Mathematical models; Mathematics; Mathematics and Statistics; Mathematics of Computing; Nonlinear control; Nonlinear systems; Operations Research/Decision Theory; Stability criteria; Statistics; Systems Theory; event-triggered control; nonlinear systems; Cyclic-small-gain theorem; input-to-state stability (ISS)
• ISSN: 1009-6124; 1559-7067
• DOI: 10.1007/s11424-020-9210-0

An event-triggered control (ETC) system transmits data packages and updates control inputs only when the predefined criterion is satisfied. In this way, network communication and computing resources are scheduled more reasonably in contrast to the traditional periodic sampling strategy. Small-gain approach proposed in recent literatures is a new modeling method to deal with nonlinear ETC systems. Different from traditional ETC models, stability criteria are proposed in the form of input to state stability (ISS) gain to design the triggering mechanisms. This paper introduces additional dynamic variables in this model and proposes a small-gain based dynamic event-triggered strategy. Sufficient conditions to guarantee the stability of the system are derived with the help of cyclic-small-gain theorem and Zeno behaviors are avoided to ensure the feasibility of this method in practical applications. Numerical simulations are given to demonstrate the effectiveness of our approach.