2020 |
Gasmi, Noussaiba; Boutayeb, Mohamed; Thabet, Assem; Aoun, Mohamed; Frej, Ghazi Bel Haj Robust sliding window observer-based controller design for Lipschitz discrete-time systems Conférence vol. 53, no. 2, 2020, (Cited by: 1; All Open Access, Bronze Open Access). Résumé | Liens | BibTeX | Étiquettes: Controllers, Digital control systems, Discrete – time systems, Discrete time control systems, H ∞ criterion, Lipschitz, Lipschitz non-linearity, Observer-based, Observer-based controllers, Observer-based stabilization design, Performance, Sliding Window, Sliding window approach, Stabilization, Uncertain systems @conference{Gasmi20205970b,The aim of this paper is to develop a new observer-based stabilization strategy for a class of Lipschitz uncertain systems. This new strategy improves the performances of existing methods and ensures better convergence conditions. The observer and the controller are enriched with sliding windows of measurements and estimated states, respectively. This technique allows to increase the number of decision variables and thus get less restrictive and more general LMI conditions. The established sufficient stability conditions are in the form of Bilinear Matrix Inequality (BMI). The obtained constraint is transformed, through a useful approach, to a more suitable one easily tractable by standard software algorithms. Numerical example is given to illustrate the performances of the proposed approach. Copyright © 2020 The Authors. This is an open access article under the CC BY-NC-ND license |
Gasmi, Noussaiba; Boutayeb, Mohamed; Thabet, Assem; Aoun, Mohamed; Frej, Ghazi Bel Haj Robust sliding window observer-based controller design for Lipschitz discrete-time systems Conférence vol. 53, no. 2, 2020, (Cited by: 1; All Open Access, Bronze Open Access). Résumé | Liens | BibTeX | Étiquettes: Controllers, Digital control systems, Discrete – time systems, Discrete time control systems, H ∞ criterion, Lipschitz, Lipschitz non-linearity, Observer-based, Observer-based controllers, Observer-based stabilization design, Performance, Sliding Window, Sliding window approach, Stabilization, Uncertain systems @conference{Gasmi20205970,The aim of this paper is to develop a new observer-based stabilization strategy for a class of Lipschitz uncertain systems. This new strategy improves the performances of existing methods and ensures better convergence conditions. The observer and the controller are enriched with sliding windows of measurements and estimated states, respectively. This technique allows to increase the number of decision variables and thus get less restrictive and more general LMI conditions. The established sufficient stability conditions are in the form of Bilinear Matrix Inequality (BMI). The obtained constraint is transformed, through a useful approach, to a more suitable one easily tractable by standard software algorithms. Numerical example is given to illustrate the performances of the proposed approach. Copyright © 2020 The Authors. This is an open access article under the CC BY-NC-ND license |
2017 |
Hmed, Amina Ben; Amairi, Messaoud; Aoun, Mohamed Robust stabilization and control using fractional order integrator Article de journal Dans: Transactions of the Institute of Measurement and Control, vol. 39, no. 10, p. 1559 – 1576, 2017, (Cited by: 8). Résumé | Liens | BibTeX | Étiquettes: Calculations, Control design, Controllers, Delay control systems, Fractional calculus, Fractional-order integrator, Robust stability, Robustness (control systems), Smith predictors, Stabilization, Uncertain systems @article{BenHmed20171559b,This paper addresses the robust stabilization problem of first-order uncertain systems. To treat the robust stabilization problem, an interval-based stabilization method using stability conditions of the non-commensurate elementary fractional transfer function of the second kind is developed. Some analytic expressions are determined to compute the set of all stabilizing controller parameters and plot the stability boundary. A robust performance control is also developed to fulfil some desired time-domain performances as the iso-overshoot property. The fractional controller can be used combined with the Smith predictor to control a first-order system with time delay and achieve desired specifications. Numerical examples are presented to illustrate the obtained results. © 2017, © The Author(s) 2017. |
Hmed, Amina Ben; Amairi, Messaoud; Aoun, Mohamed Robust stabilization and control using fractional order integrator Article de journal Dans: Transactions of the Institute of Measurement and Control, vol. 39, no. 10, p. 1559 – 1576, 2017, (Cited by: 8). Résumé | Liens | BibTeX | Étiquettes: Calculations, Control design, Controllers, Delay control systems, Fractional calculus, Fractional-order integrator, Robust stability, Robustness (control systems), Smith predictors, Stabilization, Uncertain systems @article{BenHmed20171559c,This paper addresses the robust stabilization problem of first-order uncertain systems. To treat the robust stabilization problem, an interval-based stabilization method using stability conditions of the non-commensurate elementary fractional transfer function of the second kind is developed. Some analytic expressions are determined to compute the set of all stabilizing controller parameters and plot the stability boundary. A robust performance control is also developed to fulfil some desired time-domain performances as the iso-overshoot property. The fractional controller can be used combined with the Smith predictor to control a first-order system with time delay and achieve desired specifications. Numerical examples are presented to illustrate the obtained results. © 2017, © The Author(s) 2017. |
2015 |
Hmed, A. Ben; Amairi, M.; Aoun, M. Stabilizing fractional order controller design for first and second order systems Conférence 2015, (Cited by: 1). Résumé | Liens | BibTeX | Étiquettes: Analytic expressions, Calculations, Closed loop systems, Control, Controllers, DC motors, Electric machine control, Fractional calculus, Fractional-order controllers, Invariance, Linear systems, Linear time invariant systems, Numerical methods, Resonance, Second-order systemss, Stability regions, Stabilization, Stabilization problems, Time domain analysis, Time varying control systems, Time-domain specifications @conference{BenHmed2015c,The paper deals with the stabilization problem of the Linear Time Invariant system. In this work, we present a new method of stabilization addressed to the first and second order unstable system in order to guarantee the stability and the time domain performances. Analytic expressions are developed in the purpose of setting the stabilizing parameters of the controller by describing the stability region. Moreover, the time domain-curves of the desired closed-loop system are used to show time domain specifications. Finally, some numerical examples and a control of DC motor are proposed in order to show the benefits and the reliability of the new technique. © 2015 IEEE. |
Hmed, A. Ben; Amairi, M.; Aoun, M. Stabilizing fractional order controller design for first and second order systems Conférence 2015, (Cited by: 1). Résumé | Liens | BibTeX | Étiquettes: Analytic expressions, Calculations, Closed loop systems, Control, Controllers, DC motors, Electric machine control, Fractional calculus, Fractional-order controllers, Invariance, Linear systems, Linear time invariant systems, Numerical methods, Resonance, Second-order systemss, Stability regions, Stabilization, Stabilization problems, Time domain analysis, Time varying control systems, Time-domain specifications @conference{BenHmed2015e,The paper deals with the stabilization problem of the Linear Time Invariant system. In this work, we present a new method of stabilization addressed to the first and second order unstable system in order to guarantee the stability and the time domain performances. Analytic expressions are developed in the purpose of setting the stabilizing parameters of the controller by describing the stability region. Moreover, the time domain-curves of the desired closed-loop system are used to show time domain specifications. Finally, some numerical examples and a control of DC motor are proposed in order to show the benefits and the reliability of the new technique. © 2015 IEEE. |
Publications
2020 |
Robust sliding window observer-based controller design for Lipschitz discrete-time systems Conférence vol. 53, no. 2, 2020, (Cited by: 1; All Open Access, Bronze Open Access). |
Robust sliding window observer-based controller design for Lipschitz discrete-time systems Conférence vol. 53, no. 2, 2020, (Cited by: 1; All Open Access, Bronze Open Access). |
2017 |
Robust stabilization and control using fractional order integrator Article de journal Dans: Transactions of the Institute of Measurement and Control, vol. 39, no. 10, p. 1559 – 1576, 2017, (Cited by: 8). |
Robust stabilization and control using fractional order integrator Article de journal Dans: Transactions of the Institute of Measurement and Control, vol. 39, no. 10, p. 1559 – 1576, 2017, (Cited by: 8). |
2015 |
Stabilizing fractional order controller design for first and second order systems Conférence 2015, (Cited by: 1). |
Stabilizing fractional order controller design for first and second order systems Conférence 2015, (Cited by: 1). |