Browsing by Author "Habbi, H."

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    A combined IQG/LTR and fuzzy logic strategy for the improved control of a drum-type boiler-turbine plant
    (2009) Habbi, H.; Kidouche, M.; Zelmat, M.
    This paper addresses the design of a fuzzy control system with a fuzzy controller and a fuzzy estimator for a fossil-fuelled drum-type boiler-turbine unit. The fuzzy control method is based on a dynamic Takagi-Sugeno (TS) fuzzy model which has been developed in Habbi et al. [Automatica 39 (2003) 1213] for the nonlinear steam power plant. In the design procedure, a dynamics augmentation is first suggested and a dynamic fuzzy augmented system is determined to deal with the non-minimum phase behaviour of the plant. The global fuzzy control system is designed from a local concept viewpoint using the optimal control theory. To assess the performance of the proposed optimal fuzzy controller, simulations under various operation conditions including actuators saturation are performed over a wide operating range of the physical plant
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    A dynamic fuzzy model for a drum–boiler–turbine system
    (2003) Habbi, H.; Zelmat, M.; Ould Bouamama, B.
    A nonlinear dynamic fuzzy model for natural circulation drum–boiler–turbine is presented. The model is derived from Åström–Bell nonlinear dynamic system and describes the complicated dynamics of the physical plant. It is shown that the dynamic fuzzy model gives in some appropriate sense accurate global nonlinear prediction and at the same time that its local models are close approximations to the local linearizations of the nonlinear dynamic system. This closeness is illustrated by simulation in various conditions
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    The first integral approach in stability problem of large scale nonlinear dynamical systems
    (2008) Kidouche, M.; Habbi, H.; Zelmat, M.; Grouni, S.
    In analyzing large scale nonlinear dynamical systems, it is often desirable to treat the overall system as a collection of interconnected subsystems. Solutions properties of the large scale system are then deduced from the solution properties of the individual subsystems and the nature of the interconnections. In this paper a new approach is proposed for the stability analysis of large scale systems, which is based upon the concept of vector Lyapunov functions and the decomposition methods. The present results make use of graph theoretic decomposition techniques in which the overall system is partitioned into a hierarchy of strongly connected components. We show then, that under very reasonable assumptions, the overall system is stable once the strongly connected subsystems are stables. Finally an example is given to illustrate the constructive methodology proposed
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    Fuzzy Boundary Control of Nonlinear Distributed Parameter Systems Through an Equivalent Punctual Control Form
    (IEEE, 2019) Raab, S.; Habbi, H.; Maidi, A.
    Relying on the idea of formulating the problem of boundary control by means of equivalent punctual control problem, we present in this paper a novel design methodology of a fuzzy partial differential equation model based boundary geometric controller for nonlinear distributed parameter systems (DPSs). With regard to the distributed dynamics of DPSs, this control problem is formulated as a set-point reference tracking problem with an infinite characteristic index defined for a punctual output variable at a yields spatial position. To deal with this control design, it is first suggested to transform the boundary control problem to an equivalent in domain punctual control form by using Laplace transform in the spatial domain. Then, considering a punctual output, a weighted value of the variable, along the spatial domain, is defined as a controlled output. Processing the controlled output by means of geometric control rules and control objectives leads to the determination of the proposed fuzzy boundary geometric controller. Temperature gradient control in a thin non-isothermal catalytic reactor is considered as an application example to show the stabilizing performance of the developed control strategy
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    A New Decomposition Strategy Approach Applied for a Multi-Stage Printing System Control Optimization
    (IEEE, 2015) Doghmane, Mohamed Zinelabidine; Kidouche, M.; Habbi, H.; Bacetti, A.; Bellahcene, B.
    Large scale dynamic systems are one of the challenges facing control engineer today. The design of controllers is an intractable problem when applied to problems of high dimension with intricate structure. Many strategies have been recently developed to deal with decomposition of complex systems, these strategies are based on the idea of subdividing the whole system into smaller subsystems less difficult in study than the original one. The aim of our paper is to apply the approach of multi-overlapping control design to multistage printing systems controller. Our principle objective in this paper is to use the advantages of multi-overlapping decomposition technique and its application in order to have a more robust controller of multistage printing system. This approach leads to computationally efficient design strategies that are well suited for large scale applications. Multistage printing system model is presented to illustrate the effectiveness of the proposed algorithm
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    A new decomposition strategy approach applied for web winding system control optimization
    (IEEE, 2015) Doghmane, Mohamed Zinelabidine; Habbi, H.; Lamraoui, W.
    Complex and large scale dimensional systems are usually included in many important industrial problems where it is generally necessary to avoid the use of centralized controllers in the high dimensionality through the use of decentralized controllers. In this paper a new model approach is proposed for the design of an effective overlapping optimal decentralized controller for large scale dynamic system. To demonstrate the effectiveness of the design and emphasize the advantages of the proposed algorithm, a mathematical model for three motors web winding system is considered as an application approach, we consider a control using overlapping decomposition
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    On lyapunov stability of interconnected nonlinear systems : recursive integration methodology
    (Springer Netherlands, 2010) Kidouche, M.; Habbi, H.
    This paper evolved from an endeavor to construct a Lyapunov function of interconnected nonlinear systems described by ordinary differential equations. This construction is an intractable problem and crucial part of the design when applied to problems of high dimension with intricate structure. The design obtained is applicable if the system under investigation is a generalization of the strict feedback form and whose dependency graphs satisfies the decomposition into lower triangular form. This design is mainly developed for moderated nonlinear continuous time dynamical systems. However, as we show in the example, it is emphasized that the present results can be extended to discontinuous systems provided they can be approximated by smooth modifications. A key step in our approach which based on back integrating procedure is to decompose the interconnected system into subsystems using graph theoretic decomposition. In the proposed methodology, the postulated Lyapunov function is obtained by backward integration the composite system trajectory. This novel approach leads straightforward and by one shot methods to both Lyapunov function of the composite system and its time derivative. A practical example is presented to illustrate the effectiveness of the results
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    Stability of interconnected systems under structural perturbation : decomposition- aggregation approach
    (2008) Kidouche, M.; Habbi, H.; Zelmat, M.
    In this paper, the decomposition-aggregation method is used to carry out connective stability criteria for general linear composite system via aggregation. The large scale system is decomposed into a number of subsystems. By associating directed graphs with dynamic systems in an essential way, we define the relation between system structure and stability in the sense of Lyapunov. The stability criteria is then associated with the stability and system matrices of subsystems as well as those interconnected terms among subsystems using the concepts of vector differential inequalities and vector Lyapunov functions. Then, we show that the stability of each subsystem and stability of the aggregate model imply connective stability of the overall system. An example is reported, showing the efficiency of the proposed technique
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    Une approche améliorée pour l'optimisation des contrôleurs flous
    (Journal Europeen des Systemes Automatises, 2002) Habbi, H.; Zelmat, M.
    In this paper, an improved adaptation mechanism for tuning of fuzzy logic controllers using gradient descent method is proposed. The proposed algorithm is used for input/output membership functions tuning of a fuzzy controller by minimising some criterion on the control output. The optimisation problem is solved using gradient descent technique. In this tuning procedure, the constant which controls how much the fuzzy controller parameters are altered at each iteration is updated using a fuzzy logic approximate reasoning modelled as a set of IF-THEN rules. To illustrate the usefulness and the effectiveness of the improved algorithm, we consider the problem of minimising the matching error induced by an additive noise affecting the input information of a Pi-like fuzzy controller