![](/images/graphics-bg.png)
State-Estimator-Based Asynchronous Repetitive Control of Discrete-Time Markovian Switching Systems
Joint Authors
Liu, Xinghua
Ma, Guoqi
Pagilla, Prabhakar R.
Ge, Shuzhi Sam
Source
Issue
Vol. 2020, Issue 2020 (31 Dec. 2020), pp.1-13, 13 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2020-02-03
Country of Publication
Egypt
No. of Pages
13
Main Subjects
Abstract EN
This paper investigates the problem of asynchronous repetitive control for a class of discrete-time Markovian switching systems.
The control goal is to track a given periodic reference without steady-state error.
To achieve this goal, an asynchronous repetitive controller that renders the overall closed-loop switched system mean square stable is proposed.
To reflect realistic scenarios, the proposed approach does not assume that the system modes are available synchronously to the controller but instead designs a detector that provides estimated values of the system modes to the controller.
Based on a detected-mode-dependent estimator, the plant and asynchronous repetitive controller are formulated as a closed-loop stochastic system.
By utilizing tools from stochastic Lyapunov–Krasovskii stability theory, we develop sufficient conditions in terms of linear matrix inequalities (LMIs) such that the closed-loop system is mean square stable and also simultaneously establish a synthesis procedure for obtaining the gain matrices.
We provide numerical simulations on an electrical circuit switched system to illustrate the approach.
American Psychological Association (APA)
Liu, Xinghua& Ma, Guoqi& Pagilla, Prabhakar R.& Ge, Shuzhi Sam. 2020. State-Estimator-Based Asynchronous Repetitive Control of Discrete-Time Markovian Switching Systems. Complexity،Vol. 2020, no. 2020, pp.1-13.
https://search.emarefa.net/detail/BIM-1142805
Modern Language Association (MLA)
Liu, Xinghua…[et al.]. State-Estimator-Based Asynchronous Repetitive Control of Discrete-Time Markovian Switching Systems. Complexity No. 2020 (2020), pp.1-13.
https://search.emarefa.net/detail/BIM-1142805
American Medical Association (AMA)
Liu, Xinghua& Ma, Guoqi& Pagilla, Prabhakar R.& Ge, Shuzhi Sam. State-Estimator-Based Asynchronous Repetitive Control of Discrete-Time Markovian Switching Systems. Complexity. 2020. Vol. 2020, no. 2020, pp.1-13.
https://search.emarefa.net/detail/BIM-1142805
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1142805