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

• 成果类型: Article
• 署名作者: Liu, Bin; Yang, Meng; Liu, Tao; Hill, David J.
• 署名单位: Hunan University of Technology; University of Hong Kong
• 刊物名称: IEEE TRANSACTIONS ON AUTOMATIC CONTROL
• ISSN/ISSBN: 0018-9286
• DOI: 10.1109/TAC.2020.3014637
• 发表日期: 2021
• 页码: 2913-2919
• 关键词: Stability criteria; Numerical stability; control systems; Symmetric matrices; indexes; Space shuttles; Average dwell-time; event-triggered control; Impulsive control; input-to-state stability; intermittent control

摘要

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.