On model-based networked control of singularly perturbed systems

Gexia Wang; Zhiming Wang; D. S. Naidu

doi:10.1109/CHICC.2008.4605242

On model-based networked control of singularly perturbed systems

Gexia Wang, Zhiming Wang, D. S. Naidu

Electrical Engineering

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

18 Scopus citations

Abstract

In this paper, the state feedback control of the linear singularly perturbed plant is studied, where the sensor and the controller/actuator are connected via a network and the transmission frequency is constant. In terms of the model-based control, the model plant in the singularly perturbed system is added at the controller/actuator to stabilize the original singularly perturbed system with periodically updating its state by the actual state of the plant provided by the sensor. Moreover, under some certain conditions, independent of the small parameter, the existence of the bound of the small parameter is shown to guarantee the globally exponential stability of the whole closed-loop singularly perturbed system. In addition, a numerical simulation is shown to illustrate the results of the paper.

Original language	English (US)
Title of host publication	Proceedings of the 27th Chinese Control Conference, CCC
Pages	53-57
Number of pages	5
DOIs	https://doi.org/10.1109/CHICC.2008.4605242
State	Published - Sep 30 2008
Event	27th Chinese Control Conference, CCC - Kunming, Yunnan, China Duration: Jul 16 2008 → Jul 18 2008

Other

Other	27th Chinese Control Conference, CCC
Country	China
City	Kunming, Yunnan
Period	7/16/08 → 7/18/08

Keywords

Exponential stability
Model-based control
Networked control systems
Singularly perturbed systems

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10.1109/CHICC.2008.4605242

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title = "On model-based networked control of singularly perturbed systems",

abstract = "In this paper, the state feedback control of the linear singularly perturbed plant is studied, where the sensor and the controller/actuator are connected via a network and the transmission frequency is constant. In terms of the model-based control, the model plant in the singularly perturbed system is added at the controller/actuator to stabilize the original singularly perturbed system with periodically updating its state by the actual state of the plant provided by the sensor. Moreover, under some certain conditions, independent of the small parameter, the existence of the bound of the small parameter is shown to guarantee the globally exponential stability of the whole closed-loop singularly perturbed system. In addition, a numerical simulation is shown to illustrate the results of the paper.",

keywords = "Exponential stability, Model-based control, Networked control systems, Singularly perturbed systems",

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AU - Wang, Gexia

AU - Wang, Zhiming

AU - Naidu, D. S.

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N2 - In this paper, the state feedback control of the linear singularly perturbed plant is studied, where the sensor and the controller/actuator are connected via a network and the transmission frequency is constant. In terms of the model-based control, the model plant in the singularly perturbed system is added at the controller/actuator to stabilize the original singularly perturbed system with periodically updating its state by the actual state of the plant provided by the sensor. Moreover, under some certain conditions, independent of the small parameter, the existence of the bound of the small parameter is shown to guarantee the globally exponential stability of the whole closed-loop singularly perturbed system. In addition, a numerical simulation is shown to illustrate the results of the paper.

AB - In this paper, the state feedback control of the linear singularly perturbed plant is studied, where the sensor and the controller/actuator are connected via a network and the transmission frequency is constant. In terms of the model-based control, the model plant in the singularly perturbed system is added at the controller/actuator to stabilize the original singularly perturbed system with periodically updating its state by the actual state of the plant provided by the sensor. Moreover, under some certain conditions, independent of the small parameter, the existence of the bound of the small parameter is shown to guarantee the globally exponential stability of the whole closed-loop singularly perturbed system. In addition, a numerical simulation is shown to illustrate the results of the paper.

KW - Exponential stability

KW - Model-based control

KW - Networked control systems

KW - Singularly perturbed systems

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