Further stabilization criteria of continuous systems with aperiodic time-triggered intermittent control

Time-triggered intermittent control (TIC) requires constant sampling periods. To deal with this problem, we present aperiodic time-triggered intermittent control (ATIC) in the paper. Firstly, ATIC is expressed in a mathematical description. Different from TIC, ATIC allows sampling periods to be variable. Then, for the deduced ATIC system, the exponential stability theorem with less conservativeness is established with the aid of the constructed mixed time-dependent Lyapunov functional (MTLF). Thirdly, the exponential stabilization criterion is formulated. Based on it, ATIC can be designed. Finally, a simulation example is given to illustrate the validity and the superiority of the obtained results. & COPY; 2023 Elsevier B.V. All rights reserved.

Automated summary

This paper introduces an aperiodic time-triggered intermittent control (ATIC) approach, which allows variable sampling periods compared to the traditional time-triggered intermittent control (TIC). The exponential stability theorem for the deduced ATIC system is established with the aid of the constructed mixed time-dependent Lyapunov functional (MTLF). The exponential stabilization criterion is formulated based on it, enabling the design of ATIC. A simulation example is provided to verify the validity and superiority of the obtained results.