Robustness design of a dynamic output-feedback decentralized controller using H
                            ∞ synthesis and LMI paradigm

Tlili, Ali

doi:10.1007/s12555-016-0019-5

Cited by 8 publications

(3 citation statements)

References 13 publications

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“…Additionally, our adopted design method can generalize the results in [7,11,40,41] and can be effectively applied to the H ∞ model reference decentralized tracking control of the interconnected systems in discrete-time domain.…”

Section: N To Effectively Compute the Observation Gain Let Us Imentioning

confidence: 92%

Observer-Based Decentralized Tracking Control with Preview Action for a Class of Nonlinear Interconnected Systems

2020

Complexity

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In this paper, for the first time, the observer-based decentralized output tracking control problem with preview action for a class of interconnected nonlinear systems is converted into a regulation problem for N augmented error subsystems composed of the tracking error dynamics, the difference equation of the state observer, and the available future reference trajectory dynamics associated with each individual subsystem. The developed innovative formulation of an observer-based decentralized preview tracking control scheme consists of the integral control action, the observer-based state feedback control action, and the preview action of the desired trajectory. The controller design feasibility conditions are formulated in terms of a linear matrix inequality (LMI) by using the Lyapunov function approach to ensure the existence of the suggested observer-based decentralized control strategy. Furthermore, both decentralized observer gain matrices and decentralized tracking controller gain matrices can be efficiently and simultaneously computed through a one-step LMI procedure. Stability analysis of the closed-loop augmented subsystem is carried out to illustrate that all tracking errors asymptotically converge toward zero. Finally, a numerical example is provided to demonstrate the effectiveness of the suggested control approach.

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Section: N To Effectively Compute the Observation Gain Let Us Imentioning

confidence: 92%

Observer-Based Decentralized Tracking Control with Preview Action for a Class of Nonlinear Interconnected Systems

2020

Complexity

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“…Remark 1. The structure of nonlinearity, illustrated by equation (4), has been extensively used in the synthesis of decentralized control strategies for complex interconnected systems and can illustrate the nonlinear interconnection of numerous real processes as multi-machine power systems (Sun et al, 2006; Tlili, 2017b). In this paper, we do not fix the interconnection bound values but we try to maximize these bounds in order that the control structure will be applicable for a larger nonlinear coverage.…”

Section: System Description and Problem Statementmentioning

confidence: 99%

Proportional integral observer-based decentralized stabilization design scheme for nonlinear complex interconnected systems

Tlili

2018

Transactions of the Institute of Measurement and Control

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For a class of complex interconnected nonlinear disturbed systems, a proportional integral (PI) decentralized observer-based feedback robust decentralized controller technique is proposed, relying on H∞ synthesis for disturbance mitigation and linear matrix inequality (LMI) tools to achieve asymptotic stabilization and stability analysis within the Lyapunov framework. The proposed design method draws on a prominent optimization problem that can be tackled in terms of LMI constraints to evaluate the decentralized controller and PI observer gain matrices jointly, to maximize the nonlinearity coverage tolerated by the system without destabilization and to improve the robustness of the proposed control strategy by minimizing an H∞ criterion despite exogenous disturbances and strong nonlinear interconnections affecting the subsystems. The efficacy and high performance of the proposed control approach, compared with a renowned decentralized guaranteed cost control strategy from the literature, are validated by numerical simulations on a greatly interconnected three-machine power system.

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“…Decentralized robust control problems of large scale interconnected systems have been widely studied in the literature. In this context, several design approaches have been proposed and successfully applied to improve the transient stability, we can cite the feedback linearization technique (Wang et al, 1997; Wang and Hill, 2000), Hamiltonian techniques (Hill and Wang, 2000; Maschke et al, 2000; Wang et al, 2003; Xi et al, 2002), H ∞ synthesis (Tlili, 2017), guaranteed cost control approach (Rtibi et al, 2015), and sliding-mode control (Huerta et al, 2010; Yan et al, 2004). However, these researchers were limited to some special classes of nonlinear systems because there is no common method to investigate stability of general large scale interconnected systems, as it is known in the case of linear systems.…”

Section: Introductionmentioning

confidence: 99%

Development of a decentralized nonlinear controller for a class of uncertain polynomial interconnected systems: Application for a large scale power system

Rtibi

Elloumi

Braïek

2018

Transactions of the Institute of Measurement and Control

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This paper presents a new robust decentralized control of nonlinear interconnected systems, which is applied and validated on a large scale power system. Our work is performed in three steps. Firstly, we have developed the polynomial description of the nonlinear uncertain and interconnected system using odd Kronecker power of state vectors, which is an easy-manipulation model for such complex systems. Then we applied Lyapunov’s direct method of stability analysis, associated with a quadratic function, in order to determine a sufficient condition for global asymptotic stability by applying a nonlinear, decentralized and optimal polynomial control. Finally, we carried out a simulation study on a nonlinear uncertain power system with three interconnected machines. We considered different cases of perturbations on its state variables as well as different cases of fault locations. We prove via advanced simulations, the effectiveness of the proposed control technique which is able to mitigate the successive amplitudes of the oscillations, to limit the control actions and to enhance the power system transient stability.

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Robustness design of a dynamic output-feedback decentralized controller using H ∞ synthesis and LMI paradigm

Cited by 8 publications

References 13 publications

Observer-Based Decentralized Tracking Control with Preview Action for a Class of Nonlinear Interconnected Systems

Observer-Based Decentralized Tracking Control with Preview Action for a Class of Nonlinear Interconnected Systems

Proportional integral observer-based decentralized stabilization design scheme for nonlinear complex interconnected systems

Development of a decentralized nonlinear controller for a class of uncertain polynomial interconnected systems: Application for a large scale power system

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