Switching event‐triggering mechanisms for integral input‐to‐state stable nonlinear systems. (25th March 2021)

• Record Type: Journal Article
• Authors: Yu, Hao; Chen, Xia; Hao, Fei
• Is Part Of: International journal of robust and nonlinear control. Volume 31:Number 10(2021)
• Page Start: 4839
• Page End: 4855
• Publication Date: 2021-03-25
• Subjects: event‐triggered control -- integral input‐to‐state stability -- nonlinear systems -- robust control; Automatic control -- Periodicals; Control theory -- Periodicals; Nonlinear systems -- Periodicals; 629.836
• DOI: 10.1002/rnc.5507
• Languages: English
• ISSNs: 1049-8923

Abstract

Abstract: This article studies the event‐triggered control problem for nonlinear systems that are merely integral input‐to‐state stable (iISS) with respect to measurement errors and external inputs. By using the iISS Lyapunov function, which comes from a necessary and sufficient condition on iISS, an integral‐based event‐triggering mechanism is introduced to compensate the effects of measurement errors. Under some assumptions on the gains of the iISS Lyapunov function, both the closed‐loop iISS and Zeno‐freeness are proved when the external inputs are measurable. In the presence of unknown disturbances, a novel switching event‐triggering mechanism is designed based on the relationship between the transmitted state and some threshold constant. Subsequently, the corresponding lower bound of inter‐event times is given explicitly to ensure Zeno‐freeness. It is shown that the proposed switching mechanism can be applicable to the nonlinear systems where some existing event‐triggering mechanisms are invalid in avoiding Zeno behavior. Finally, numerical simulations are provided to illustrate the efficiency and feasibility of the obtained results.