Exponential stabilization of continuous-time dynamical systems via time and event triggered aperiodic intermittent control

Bin Liu, Meng Yang, Bo Xu and Guohua Zhang

Applied Mathematics and Computation, 2021, vol. 398, issue C

Abstract: This paper studies the exponential stabilization of continuous-time dynamical systems via aperiodic intermittent controls (APIC). Time-triggered and event-triggered APIC schemes are designed respectively for continuous-time dynamical systems. Under time-triggered APIC (T-APIC), by proposing the notions of (minimum) average control width and using the method of Lyapunov-like function, the exponential stabilization criteria expressed by converse average dwell-time conditions are derived. Based on indices of threshold-value and check-period, the event-triggered APIC (E-APIC) is proposed. E-APIC is state dependent and the algorithm for E-APIC is given to derive criteria of exponential stabilization. Moreover, by introducing control-free index into APIC, an E-APIC with state-based control widths (SCW) is proposed to improve the constraints on control widths in E-APIC and T-APIC. In order to verify performances of the intermittent control schemes including periodic intermittent control (PIC), some discussions are given by using notions of number of control, rate of control, and cost of control. Finally, one example with numerical simulations is given for illustrations. It is shown that both PIC and T-APIC are stronger control schemes than E-APIC and E-APIC with SCW. E-APIC and E-APIC with SCW have better performances than PIC and T-APIC with lower values on rate of control, number of control, and cost of control. And E-APIC with SCW has lowest rate of control and can achieve least total control time.

Keywords: Exponential stability; Continuous-time dynamical systems; Intermittent control; Impulsive control; Event-triggered control; Average dwell-time; Average control width (search for similar items in EconPapers)
Date: 2021
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (1)

Downloads: (external link)
http://www.sciencedirect.com/science/article/pii/S0096300320306664
Full text for ScienceDirect subscribers only

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:398:y:2021:i:c:s0096300320306664

DOI: 10.1016/j.amc.2020.125713

Access Statistics for this article

Applied Mathematics and Computation is currently edited by Theodore Simos

More articles in Applied Mathematics and Computation from Elsevier
Bibliographic data for series maintained by Catherine Liu ().