2023 |
Hassen, W. Ben; Abdelkrim, T.; Abdelkrim, N.; Tellili, A. Control of an Uncertain Nonlinear System Conférence Institute of Electrical and Electronics Engineers Inc., 2023, ISBN: 9798350327564, (cited By 0). Résumé | Liens | BibTeX | Étiquettes: Adaptive backstepping; Adaptive Control; Advanced control; Control approach; Control laws; Lyapunov; Non-linear dynamic systems; Uncertain; Uncertain dynamic systems; Uncertain nonlinear systems, Adaptive control systems; Backstepping; Control theory; System stability, Uncertain systems @conference{BenHassen2023,This article presents an advanced control approach for nonlinear and uncertain dynamic systems using two powerful methods: Backstepping and Adaptive Backstepping. Nonlinear and uncertain systems are common in many industrial applications, and achieving effective control for them is a major engineering challenge. The Backstepping method, a control technique based on recursion, is first introduced to stabilize nonlinear and uncertain dynamic systems. It allows for the design of successive control laws by progressively moving up the chain of the system’s state variables, stabilizing them one by one. This approach offers significant flexibility in handling a variety of nonlinear and uncertain systems. Next, Adaptive Backstepping is presented as an extension of the basic method. This approach takes into account uncertainties and parametric variations in the system, making it particularly well-suited for systems whose characteristics may change over time. Adaptive Backstepping automatically adjusts control laws to maintain system stability and performance, even in the presence of unknown disturbances and uncertainties. © 2023 IEEE. |
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 |
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 |
Saidi, B.; Amairi, M.; Najar, S.; Aoun, M. Bode shaping-based design methods of a fractional order PID controller for uncertain systems Article de journal Dans: Nonlinear Dynamics, vol. 80, no. 4, p. 1817 – 1838, 2015, (Cited by: 66). Résumé | Liens | BibTeX | Étiquettes: Algorithms, Carbon monoxide, Constrained optimization, Damping, Design, Electric control equipment, Fractional PID, Fractional-order PID controllers, Frequency bands, Frequency domain analysis, Frequency-domain design, Iso-damping property, Numerical methods, Numerical optimization algorithms, Numerical optimizations, Optimization, Proportional control systems, Robustness (control systems), Test benches, Three term control systems, Uncertain systems, Uncertainty @article{Saidi20151817b,This paper deals with robust fractional order PID controller design via numerical optimization. Three new frequency-domain design methods are proposed. They achieve good robustness to the variation of some parameters by maintaining the open-loop phase quasi-constant in a pre-specified frequency band, i.e., maintaining the iso-damping property of the controlled system. The two first methods are extensions of the well-known Monje-Vinagre et al. method for uncertain systems. They ameliorate the numerical optimization algorithm by imposing the open-loop phase to be flat in a frequency band not only around a single frequency. The third method is an interval-based design approach that simplifies the algorithm by reducing the constraints number and offers a more large frequency band with an iso-damping property. Several numerical examples are presented to show the efficiency of each proposed method and discuss the obtained results. Also, an application to the liquid carbon monoxide level control is presented. © 2014, Springer Science+Business Media Dordrecht. |
Publications
2023 |
Control of an Uncertain Nonlinear System Conférence Institute of Electrical and Electronics Engineers Inc., 2023, ISBN: 9798350327564, (cited By 0). |
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). |
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 |
Bode shaping-based design methods of a fractional order PID controller for uncertain systems Article de journal Dans: Nonlinear Dynamics, vol. 80, no. 4, p. 1817 – 1838, 2015, (Cited by: 66). |