Passivity-based adaptive control of chaotic oscillations in power system

De-min, Wei; Luo, Xiao

doi:10.1016/j.chaos.2005.10.097

Cited by 59 publications

(38 citation statements)

References 11 publications

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“…피동성은 강인 안정성에 중 요한 역할을 하는 회로 해석과 밀접한 관련이 있다 [6][7][8]. 따라서 피동성은 전력시스템, 신경회로망, 동기화 등에 적절한 설계방법임 을 보여준다 [9][10][11] …”

Section: 서 론 유한시간 안정성(Ftsunclassified

Robust Finite-time Dissipative State Feedback Controller Design for Discrete-time Uncertain Singular Systems

Kim¹,

Oh²

2015

The Transactions of The Korean Institute of Electrical Engineer

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-In this paper, we treat the problem of a robust finite-time dissipative state feedback controller design method for discrete-time singular systems with polytopic uncertainties. A BRL(bounded real lemma) for finite-time stability of discrete-time singular systems is derived. A finite-time dissipative state feedback controller design method satisfying finite-time stability and dissipativity is proposed by LMI(linear matrix inequality) technique on the basis of the obtained BRL. Moreover it is shown that the obtained condition can be extended into polytopic uncertain systems by proper manipulations.

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Section: 서 론 유한시간 안정성(Ftsunclassified

Robust Finite-time Dissipative State Feedback Controller Design for Discrete-time Uncertain Singular Systems

Kim¹,

Oh²

2015

The Transactions of The Korean Institute of Electrical Engineer

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“…References therein [19] achieved synchronous control of Chua's circuit based on the symbol function. Synchronization of chaotic systems with unknown parameters was investigated by utilizing adaptive method [20], and passive synchronization control, backstepping method [21]- [23], and so on. However, during the above employed approaches, controllers are designed more than one, which will be difficult in industrial implementation and cost control in the future.…”

Section: Introductionmentioning

confidence: 99%

A New Three-Dimensional Chaotic System with Constant Exponent Spectrum: Analysis, Synchronization and Circuit Implementation

Jiang¹,

Wu²

2016

JSW

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Abstract:A new chaotic system with constant Lyapunov exponent spectrum is presented, two system parameters of which remain constant exponent characteristics. The basic dynamic properties of the new system are analyzed by Poincar section, Lyapunov exponent and dimension and the signal power spectrum. Based on the Lyapunov exponent spectrum, bifurcation diagrams and state variable amplitude with respect to system parameters show that the new system has two parameters with globally nonlinear modulation characteristic. Based on the Lyapunov stability theory and the improvement of the traditional method, through constructing a Lyapunov function with containing a positive constant that the complete synchronization with single controllers are achieved by means of nonlinear active feedback, adaptive, backstepping and passive control theory, respectively. And the designed single controllers are verified via numerical simulation. Because of single controller, synchronous switch circuit consists of four synchronization schemes is implemented, which further validate the correctness and practicability of the single controllers.

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“…In recent years, many control methods were applied to suppress chaos and stabilize the voltage of the power systems [13][14][15][16][17][18][19]. Adaptive control was proposed in [13].…”

Section: Introductionmentioning

confidence: 99%

“…Fuzzy and neural control methods were discussed in [14][15][16]. Linear and nonlinear state feedback controllers are developed in [18] for the control of the bifurcation phenomenon in a power system A passivity-based adaptive controller was used in [19] to suppress chaotic oscillations in a power system.…”

Section: Introductionmentioning

confidence: 99%

Control of Chaos in a Single Machine Infinite Bus Power System Using the Discrete Sliding Mode Control Technique

Zribi

Alrifai

Smaoui

2018

Discrete Dynamics in Nature and Society

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Under certain conditions, power systems may exhibit chaotic behaviors which are harmful and undesirable. In this paper, the discrete time sliding mode control technique is used to control a chaotic power system. The objective of the control is to eliminate the chaotic oscillations and to bring order to the power system. Two discrete time sliding mode control (DSMC) schemes are proposed for a fourth order discrete time chaotic power system. The first DSMC control scheme is based on the well-known exponential reaching law. The second DSMC control scheme is based on the recently developed double power reaching law. It is shown that the states of the controlled system converge to their desired values. Simulation results are presented for different values of the gains of the controllers as well as for different initial conditions. These results indicate that both control schemes work well. However, the simulation results show that the second control scheme gave better results since it was able to greatly reduce the chattering problem.

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Passivity-based adaptive control of chaotic oscillations in power system

Cited by 59 publications

References 11 publications

Robust Finite-time Dissipative State Feedback Controller Design for Discrete-time Uncertain Singular Systems

Robust Finite-time Dissipative State Feedback Controller Design for Discrete-time Uncertain Singular Systems

A New Three-Dimensional Chaotic System with Constant Exponent Spectrum: Analysis, Synchronization and Circuit Implementation

Control of Chaos in a Single Machine Infinite Bus Power System Using the Discrete Sliding Mode Control Technique

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