首页|Stabilization of switched time-delay systems with only unstable subsystems: a new approach based on a vibration model of 1.5 degrees of freedom
Stabilization of switched time-delay systems with only unstable subsystems: a new approach based on a vibration model of 1.5 degrees of freedom
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NSTL
Elsevier
This paper presents a new state-dependent switching strategy for stabilization of switched time-delay systems with all subsystems being unstable. When time-delays are not small enough, the delayed subsystem can be approximated as a third-order linear delay-free system by using third-order Taylor expansion. Then, a special vibration model with a nonholonomic constraint is introduced to match the obtained third-order linear system. On this basis, the energy function of the original delayed subsystem is constructed by the sum of the kinetic and potential energies of the special vibration model. After that, a state-dependent switching rule with large energy loss in a switching loop is designed by using the energy functions of two delayed subsystems. Finally, excellent agreement is found between our analytical results and the corresponding numerical simulations. (C) 2021 Elsevier Inc. All rights reserved.
State-dependent switching ruleSwitched time-delay systemThird-order Taylor approximationVibration model of 1.5 degrees of freedomAsymptotic stabilitySTABILITY ANALYSISNONLINEAR-SYSTEMSINPUT
NSTL
Elsevier
