In this paper, we provide novel conditions for stability analysis of aperiodically sampled nonlinear control systems subjected to time-varying delay. The proposed approach can also deal with cases in which delay is larger than the sampling interval. It is applicable to a general class of nonlinear systems and provides sufficient criteria for stability that aid in making trade-offs between control performance and the bounds on sampling interval and delay. As a stepping stone, a preliminary and generic result based on dissipativity, is introduced to analyse the exponential stability of a class of feedback-interconnected systems. The nonlinear sampled-data system is remodelled to consider the effects of sampling and delay in the dissipativity framework, as perturbations to the nominal closed-loop system. This leads to constructive stability conditions for a continuous time closed-loop system given by the feedback interconnection of the nominal closed-loop system and an operator(s) that captures the effects of sampling and delay. For Linear Time-Invariant (LTI) systems, we recover simple Linear Matrix Inequality (LMI) and frequency domain conditions previously proposed in the robust control framework.
Dissipativity-based framework for stability analysis of aperiodically sampled nonlinear systems with time-varying delay
2021-07-01
Thomas , J , Fiter , C , Hetel , L , van de Wouw , N & Richard , J P 2021 , ' Dissipativity-based framework for stability analysis of aperiodically sampled nonlinear systems with time-varying delay ' , Automatica , vol. 129 , 109632 . https://doi.org/10.1016/j.automatica.2021.109632
Article (Journal)
Electronic Resource
English
DDC: | 629 |
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