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Non-fragile decentralized h_∞ controller design for uncertain linear systems

Journal of Systems Engineering and Electronics 2008年第2期19卷 321-328页

作者： Zhao Zhihua Chen Yuepeng Zhang Qingling Coll. of Sciences Tianjin Univ. Tianjin 300072 P. R. China School of Automation Wuhan Univ. of Technology Wuhan 430070 P. R. China Inst. of Systems Science Coll. of Science Northeastern Univ. Shenyang 110004 P. R. China

Considering the design problem of non-fragile decentralized h∞ controller with gain variations, the dynamic feedback controller by measurement feedback for uncertain linear systems is constructed and studied. The parameter uncertainties are considered to be unknown but norm bounded. The design procedures are investigated in terms of positive definite solutions to modify algebraic Riccati inequalities. Using information exchange among local controllers, the designed non-fragile decentralized h∞ controllers guarantee that the uncertain closed-loop linear systems are stable and with h∞ -norm bound on disturbance attenuation. A sufficient condition that there are such non-fragile h∞ controllers is obtained by algebraic Riccati inequalities. The approaches to solve modified algebraic Riccati inequalities are carried out preliminarily. Finally, a numerical example to show the validity of the proposed approach is given.

关键词： decentralized control stable h∞ controller algebraic Riccati inequalities gain variations non-fragile.

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h∞ controller design for discrete-time Markovian jump systems with additive time-varying delays

H∞ controller design for discrete-time Markovian jump syste...

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第37届中国控制会议

作者： Weifeng Xia Wei Xing Zheng Baoyong Zhang School of Automation Nanjing University of Science and Technology School of Computing Engineering and MathematicsWestern Sydney University

This paper focuses on the h∞ controller design problem for discrete-time Markovian jump systems with additive timevarying *** combining Lyapunov-Krasovskii functional approach and Wirtinger-based inequality,a sufficient condition is established such that the resulting closed-loop system is stochastically stable with a prescribed h∞ performance level γ.Then,by employing the singular value decomposition technique,the controller gains are given by using feasible solutions to a certain set of linear matrix ***,a numerical example is provided to illustrate the usefulness of the scheme developed in this paper.

关键词： Markovian jump systems discrete-time h∞ controller additive time-varying delays

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Non-fragile Dynamic Output Feedback h∞ Control for Continuous-Time Systems with controller Coefficient Sensitivity Consideration

Non-fragile Dynamic Output Feedback H∞ Control for Continuo...

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2011 Chinese Control and Decision Conference（CCDC）

作者： Wei-Wei Che 1,Yu-Long Wang2 1.Key Laboratory of Manufacturing Industrial Integrated Automation,Shenyang University,Shenyang 110044.2.School of Electronics and Information,Jiangsu University of Science and Technology,Zhenjiang 212003,P.R.China,

This paper presents a study on the problem of non-fragile dynamic output feedback h∞ controller design for linear continuous-time systems with controller coefficient sensitivity *** controller to be designed is assumed to be with multiplicative gain variations,which are resulted from controller implementations.A notion of structured vertex separator is employed to approach this problem,and exploited to develop sufficient conditions for the non-fragile h∞ controller design via a two-step *** resulting designs guarantee that the closed-loop system is asymptotically stable and the h∞ performance from the disturbance to the regulated output is less than a prescribed level.A numerical example is given to illustrate the design methods.

关键词： Linear system h∞ controller fragility multiplicative gain variations linear matrix inequalities (LMIs)

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A Delay-Dependent Anti-Windup Compensator for Wide-Area Power Systems With Time-Varying Delays and Actuator Saturation

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IEEE/CAA Journal of Automatica Sinica 2020年第1期7卷 106-117页

作者： Maddela Chinna Obaiah Bidyadhar Subudhi Department of Electrical Engineering National Institute of TechnologyRourkela 769008India School of Electrical Sciences Indian Institute of TechnologyFarmagudiGoa 403401India

In this paper, a delay-dependent anti-windup compensator is designed for wide-area power systems to enhance the damping of inter-area low-frequency oscillations in the presence of time-varying delays and actuator saturation using an indirect approach. In this approach, first, a conventional wide-area damping controller is designed by using output feedback with regional pole placement approach without considering time-varying delays and actuator saturation. Then to mitigate the effect of both time-varying delays and actuator saturation, an add-on delay-dependent anti-windup compensator is designed. Based on generalized sector conditions, less conservative delay-dependent sufficient conditions are derived in the form of a linear matrix inequality(LMI) to guarantee the asymptotic stability of the closedloop system in the presence of time-varying delays and actuator saturation by using Lyapunov-Krasovskii functional and Jensen integral inequality. Based on sufficient conditions, the LMI-based optimization problem is formulated and solved to obtain the compensator gain which maximizes the estimation of the region of attraction and minimizes the upper bound of-gain. Nonlinear simulations are performed first using MATLAB/Simulink on a two-area four-machine power system to evaluate the performance of the proposed controller for two operating conditions, e.g.,3-phase to ground fault and generator 1 terminal voltage variation. Then the proposed controller is implemented in real-time on an OPAL-RT digital simulator. From the results obtained it is verified that the proposed controller provides sufficient damping to the inter-area oscillations in the presence of time-varying delays and actuator saturation and maximizes the estimation of the region of attraction.

关键词： Anti-windup compensator actuator saturation FACTS devices h∞ controller inter-area oscillations LMI time delay

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维普期刊数据库

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Delay-Dependent Dynamical h∞ Control of Linear State-Delayed Systems

Delay-Dependent Dynamical H∞ Control of Linear State-Delaye...

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第二十六届中国控制会议

作者： Wang Dejin School of Electronic Information and Automation,Tianjin University of Science and Technology,Tianjin 300222,P.R.China

This paper provides a linear matrix inequality(LMI)approach to delay-dependent observer-based stabilizing and h controller design for linear state-delayed *** resulted delay-dependent criteria for the existence of controllers are presented by two independent LMIs via constructing a proper Lyapunov *** benefits of the proposed method lie in:(1)The feedback-gain and the observer-gain can be computed simultaneously;(2)The delay-bound or the h per-formance bound can be optimized;(3)The result obtained is less conservative than the previous work existing in the literature.A numerical example illustrates the potentiality of our claim.

关键词： Time-Delay Systems Delay-Dependent Criteria Observer-Based controller h∞ controller LMI

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Stabilization for a class of neutral Markovian jump delayed systems with input saturation

Stabilization for a class of neutral Markovian jump delayed ...

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第30届中国控制与决策会议

作者： Bo Li Junjie Zhao Songlin Wo School of Electrical and Information Engineering Jiangsu University of Technology

This note is concerned with the state feedback controller design problem for a class of Markov jump delay systems of the neutral-type. The problem addressed is that of designing a h∞ controller that guarantees the stochastic stability of the closed-loop system subject to actuator saturation. An effective Linear Matrix Inequality（LMI） approach is developed to solve this problem. By solving LMIs, sufficient conditions for a neutral-type delay Markov jump delay system to be stochastically stable are established, and an h∞ controller with disturbance attenuation level γ is ***, an illustrative example is used to demonstrate the validity of the proposed design procedure.

关键词： Neutral Markovian jump delayed systems input saturation state feedback h∞ controller

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h∞ Control of Double Pendulum Overhead Crane Based on T-S Fuzzy Model

H∞ Control of Double Pendulum Overhead Crane Based on T-S F...

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第40届中国控制会议

作者： Xue-juan ShAO Li-qin LIU Jing-gang ZhANG Zhi-mei ChEN Zhi-cheng ZhAO College of Electronic Information Engineer Taiyuan University of Science and Technology

The double pendulum overhead crane system is a complex nonlinear system. In this paper, T-S fuzzy model is established for the double pendulum overhead crane system to describe the nonlinear characteristics of the controlled system. In order to reduce the influence of external disturbances and internal uncertainties on the control performance, a h controller for positioning and anti-swing of double pendulum overhead crane is *** simulation results show that the proposed method can not only ensure the accurate positioning of the trolley, but also suppress the two-stage swing, and has good robustness and anti-disturbance performance.

关键词： Double pendulum crane T-S fuzzy model h∞ controller

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