Robust control for discrete-time singular large-scale systems with parameter uncertainty

Wo, Songlin; Zou, Yun; Sheng, Meiping; Xu, Shengyuan

doi:10.1016/j.jfranklin.2006.08.005

Cited by 20 publications

(10 citation statements)

References 11 publications

(13 reference statements)

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“…Concerning decentralised H 2 and H ∞ control for singular systems, some recent work is available in Zhai et al (2006) and Chen et al (2009) and the references therein. As for the discrete time case with parametric uncertainties, robust stabilising controllers were designed in Wo et al (2007). Recently, a decentralised observer for the system (11) was considered in Mansouri et al (2013) using LMI techniques, and a fuzzy decentralised control scheme was proposed for a class of nonlinear singular interconnected systems in Wang and Zhang (2001).…”

Section: Decentralised Control Of Singular Systemsmentioning

confidence: 99%

Decentralised control for complex systems - an invited survey

Yan

Zhang

Spurgeon

et al. 2014

IJMIC

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Section: Decentralised Control Of Singular Systemsmentioning

confidence: 99%

Decentralised control for complex systems - an invited survey

Yan

Zhang

Spurgeon

et al. 2014

IJMIC

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“…erefore, a decentralized-aggregation method is adopted to design the controller [10,11]. is is the decomposition method of large-scale systems.…”

Section: Introductionmentioning

confidence: 99%

Preview Tracking Control for Continuous‐Time Singular Interconnected Systems

Xie

Liao

Deng

2019

Mathematical Problems in Engineering

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This paper proposes and investigates a problem of preview tracking control for a class of continuous-time singular interconnected systems. Firstly, the related items are deleted to obtain several isolated subsystems with low dimensions. An error system is constructed for each isolated subsystem so that the tracking error is included in the state vector of the error system; then, the tracking problem is transformed into a regulation problem. Secondly, the preview tracking controller is designed for each error system and obtained controllers are combined as the controller of the error system of the singular interconnected system. Thirdly, the Lyapunov function method is utilized to determine the constraints of the related terms so that the closed-loop system of the error system of the singular interconnected system is stable under the action of the controller obtained. Finally, the preview tracking controller of the singular interconnected system is obtained from the relationship between the error system and the original system. A numerical simulation algorithm for continuous-time singular systems is also proposed in this paper. The numerical simulation illustrates the effectiveness of the theoretical results.

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“…So it is usually using decentralized control for singular large-scale systems. One of the most important research areas of singular large-scale systems is Lyapunov asymptotic stability (LAS) and stabilization [2][3][4][5][6]. Often LAS is enough for practical applications, but there are some cases where large values of the state are not acceptable, for instance in the presence of saturations.…”

Section: Introductionmentioning

confidence: 99%

Finite-time stability for continuous-time singular Large-scale systems

Han

Liu

2014

Proceedings of the 33rd Chinese Control Conference

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In this paper the finite-time stability (FST) problem of continuous-time singular large-scale systems (CTSLSS) is considered. The main results provided are a sufficient condition of FTS for CTSLSS and a sufficient condition of robust FTS for uncertain CTSLSS. Such sufficient conditions in the LMI formalism are attained for finite-time stability; this gives the opportunity of fitting the finite time stability problem in the general framework of the linear matrix inequality (LMI) approach. In this context an example is provided to demonstrate the application of the proposed method for CTSLSS finite-time stability problem.

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Robust control for discrete-time singular large-scale systems with parameter uncertainty

Cited by 20 publications

References 11 publications

Decentralised control for complex systems - an invited survey

Decentralised control for complex systems - an invited survey

Preview Tracking Control for Continuous‐Time Singular Interconnected Systems

Finite-time stability for continuous-time singular Large-scale systems

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