Journal
AUTOMATICA
Volume 135, Issue -, Pages -Publisher
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.automatica.2021.109958
Keywords
Systems with unbounded delays; Stabilities; Predictor feedback controllers; Distributed unbounded input delays
Funding
- Research Grants Council of Hong Kong [CityU-11201120, CityU-11217619]
Ask authors/readers for more resources
This paper proposes a novel framework for control problems of systems with unbounded delays and provides related stability theorems. The delayed input is captured by augmenting it as a state with initial conditions, which allows for stability estimation. The framework is applied to investigate the stabilization problems of linear systems with distributed unbounded input delays using predictor feedback controllers.
This paper proposes a novel general framework with new Lyapunov stability theorems for control problems of systems with unbounded delays. Under this framework, the delayed input can be captured in the stability estimate by augmenting it as a state with initial conditions. Then by applying the novel framework, we consider the stabilization problems of linear systems with distributed unbounded input delays via the so-called predictor feedback controllers. Both time-invariant and time-varying cases are considered. It is shown that under the new framework, the previous works on low-gain based truncated predictor feedback controllers can be improved by removing an implicit assumption on initial conditions. It is also shown that the predictor feedback controllers can exponentially stabilize both time-invariant and time-varying linear systems with distributed unbounded input delays. Several examples are provided to illustrate the effectiveness of the predictor feedback controllers. (C) 2021 Elsevier Ltd. All rights reserved.
Authors
I am an author on this paper
Click your name to claim this paper and add it to your profile.
Reviews
Recommended
No Data Available