Stabilization to Exponential Input-to-State Stability via Aperiodic Intermittent Control

This article studies the stabilization to exponential input-to-state stability (ISS) via aperiodic intermittent control (APIC) for continuous-time systems. The stabilization is formulated as a problem of minimum activation time rate (MATR) of nontrivial APIC. The MATR is investigated, respectively,...

Full description

Saved in:
Bibliographic Details
Published inIEEE transactions on automatic control Vol. 66; no. 6; pp. 2913 - 2919
Main Authors Liu, Bin, Yang, Meng, Liu, Tao, Hill, David J.
Format Journal Article
LanguageEnglish
Published New York IEEE 01.06.2021
The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subjects
Algorithms
Average dwell-time
Continuous time systems
Control stability
Control systems
event-triggered control
impulsive control
Indexes
input-to-state stability
intermittent control
Numerical stability
Space shuttles
Stability criteria
Stabilization
Symmetric matrices
Online AccessGet full text

Cover

More Information
Summary:This article studies the stabilization to exponential input-to-state stability (ISS) via aperiodic intermittent control (APIC) for continuous-time systems. The stabilization is formulated as a problem of minimum activation time rate (MATR) of nontrivial APIC. The MATR is investigated, respectively, for time-triggered APIC (T-APIC) and event-triggered APIC (E-APIC). The MATR of T-APIC is estimated and the criteria of stabilization to ISS via T-APIC are derived. Moreover, the state dependent E-APIC is proposed to reduce the conservativeness in time-triggered APIC. The algorithm and MATR are given for E-APIC to achieve the stabilization. Finally, one example with numerical simulations is given. It is shown that E-APIC has best performances with least number of control actions and lowest activation time rate than the periodic intermittent control (PIC) and T-APIC, and T-APIC has also better performance than PIC.
ISSN:0018-9286
1558-2523
DOI:10.1109/TAC.2020.3014637