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Title: | Local Stabilization for Discrete-Time Systems with Distributed State Delay and Fast-Varying Input Delay under Actuator Saturations |
Authors: | Chen, Y Wang, Z |
Keywords: | actuator saturations;discrete-time systems;distributed state delay;fast-varying input delay;local stabilization |
Issue Date: | 28-Apr-2020 |
Publisher: | Institute of Electrical and Electronics Engineers (IEEE) |
Citation: | Chen, Y. and Wang, Z. (2021) 'Local Stabilization for Discrete-Time Systems with Distributed State Delay and Fast-Varying Input Delay under Actuator Saturations', IEEE Transactions on Automatic Control, 66 (3), pp. 1337 - 1344. doi: 10.1109/TAC.2020.2991013. |
Abstract: | This article is concerned with the local stabilization problem for discrete-time systems with both distributed state delay and fast-varying input delay under actuator saturations. By introducing some terms concerning the distributedly delayed state and the current state, a novel polytopic model is first proposed to characterize the delayed saturation nonlinearity. Then, by incorporating a piecewise Lyapunov functional and some summation inequalities, a sufficient condition is established by means of linear matrix inequalities under which the closed-loop system is locally exponentially stable. Moreover, the conditions for two special cases with single state delay and single input delay are proposed. Subsequently, certain optimization problems are formulated with aim to maximize the estimate of the region of attraction. Finally, two examples show the effectiveness and values of the obtained results. |
URI: | https://bura.brunel.ac.uk/handle/2438/23531 |
DOI: | https://doi.org/10.1109/TAC.2020.2991013 |
ISSN: | 0018-9286 |
Other Identifiers: | ORCiD: Yonggang Chen https://orcid.org/0000-0002-9374-226X ORCiD: Zidong Wang https://orcid.org/0000-0002-9576-7401 |
Appears in Collections: | Dept of Computer Science Research Papers |
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