Decentralized optimal controller design for multimachine power systems using successive approximation approach

Elloumi, Salwa; Abidi, Basma; Braïek, Naceur Benhadj

doi:10.1016/j.jfranklin.2013.06.005

Cited by 18 publications

(8 citation statements)

References 17 publications

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“…These limitations motivate the design of decentralized control schemes, which leads to a wide variety of new concepts and results. [5][6][7] The advantage of such methods is that they reduce the complexity and therefore make the implementation of the control law more feasible. Decentralized control is a control design where local decisions are based only on local information of the subsystems.…”

Section: Introductionmentioning

confidence: 99%

Robust decentralized optimal stabilizability of continuous time uncertain interconnected systems: Application to large scale power system

Feydi

Elloumi

Braïek

2022

Optim Control Appl Methods

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This article introduces a new design of a decentralized robust optimal feedback controller for a class of large‐scale systems using the modified algebraic Riccati equations. The studied class of large‐scale systems is characterized by structured uncertainties that are bounded. Our main contribution in this work is the use of the Lyapunov direct method for the stability analysis, associated with a quadratic function, in order to determine a new sufficient condition to guarantee the global asymptotic stability of the class of the studied uncertain interconnected systems. The proposed control approach is then implemented on a large‐scale power systems composed of three interconnected generators. Simulation results show that the proposed robust optimal controller is quite effective and has an outstanding performance.

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Section: Introductionmentioning

confidence: 99%

Robust decentralized optimal stabilizability of continuous time uncertain interconnected systems: Application to large scale power system

Feydi

Elloumi

Braïek

2022

Optim Control Appl Methods

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“…Tang and Sun (2005) proposed a successive approximation approach for designing an optimal controller for nonlinear interconnected systems. Elloumi et al (2013) have developed algorithmically and implemented a nonlinear decentralized suboptimal control for multimachine power systems, based on a successive approximation approach in order to transform the high order coupling nonlinear TPBV problem into a sequence of linear decoupling TPBV problems, which uniformly converge to the optimal control of the considered complex system. As far as we know, this approach has not been used to solve large-scale observer-based decentralized control problems.…”

Section: Introductionmentioning

confidence: 99%

Decentralized observer-based optimal control using two-point boundary value successive approximation approach application for a multimachine power system

Abidi

Elloumi

2020

Transactions of the Institute of Measurement and Control

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In this paper, we present a new decentralized observer for a class of nonlinear interconnected systems, based on an optimal control law using the two-point boundary value (TPBV) successive approximation approach. This technique, used previously to develop a nonlinear decentralized suboptimal control for a multimachine power system, inspired us to develop a new method to design a decentralized observer-based suboptimal control law for the same system. The TPBV approach is characterized by the transformation of each high order coupling nonlinear TPBV problem into a sequence of linear decoupling TPBV problems that uniformly converge to the optimal control for nonlinear interconnected large-scale systems. Sufficient conditions for the asymptotic stability of the developed feedback control scheme are proposed in terms of linear matrix inequalities (LMIs) constraints, which can be efficiently solved by the LMI optimization techniques, to compute the control and the observation gains of the overall system. We applied this approach to a three-machine power system which generators are nonlinear systems strongly interconnected. We demonstrated clearly, via advanced simulations, that this approach was able to bring good performances, improving effectively transient stability of this power system in few iterative sequences while allowing the reconstruction of its non-measurable state variables.

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“…However, the problem of finding a common quadratic Lyapunov candidate function and state-feedback gains can be solved numerically very efficiently by convex programming algorithms. 29,30,35,36…”

Section: Introductionmentioning

confidence: 99%

Robust stabilization and tracking control schemes for disturbed multi-input multi-output Hammerstein model in presence of approximate polynomial nonlinearities

Ghorbel

Rayouf

Braïek

2020

Proceedings of the Institution of Mechanical Engineers, Part I:

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This article presents robust stabilization and tracking control problems for multi-input multi-output Hammerstein model with external disturbances. This model is characterized by static nonlinear elements followed by a linear dynamic block. Moreover, the unknown parameters of the identified mathematical model are estimated using the multivariable output error state space subspace algorithm. Unlike the general control strategy that used the nonlinearity inversion method, the nonlinearities are supposed not bijective. In this context, inverse nonlinear functions of polynomial structure are suggested in this article. Furthermore, the composition of the static nonlinear elements and their approximate inverses in series with the linear dynamic block are then decomposed into a set of linear parts using the Takagi–Sugeno fuzzy representation. Consequently, new sufficient stability conditions with decay rate and disturbance attenuation using the [Formula: see text] criterion and linear matrix inequality tools are discussed. Finally, simulation studies are provided to illustrate the merit of our purpose.

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Decentralized optimal controller design for multimachine power systems using successive approximation approach

Cited by 18 publications

References 17 publications

Robust decentralized optimal stabilizability of continuous time uncertain interconnected systems: Application to large scale power system

Robust decentralized optimal stabilizability of continuous time uncertain interconnected systems: Application to large scale power system

Decentralized observer-based optimal control using two-point boundary value successive approximation approach application for a multimachine power system

Robust stabilization and tracking control schemes for disturbed multi-input multi-output Hammerstein model in presence of approximate polynomial nonlinearities

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