Fractional-Order Model Reference Adaptive Control: State of the Art and New Trends
报告学者:Samir Ladaci
报告者单位:Ecole Nationale Polytechnique
报告时间:2025/07/05 15:20-15:55
报告地点:红果园三层多功能厅
Abstract: The verb "adapt" in everyday language means to change a behavior to conform to new circumstances. Thus, an intuitive definition for an adaptive regulator is a control system that can change its behavior in response to changes in the dynamics of the process and the disturbances. Adaptive control laws are needed in many practical applications, where a single fixed controller is not able to achieve the stability and/or performance requirements.
Since the pioneering works in 1950s, Adaptive Control has been a remarkable field for industrial and academic research. The first important project was motivated by design of autopilots for high-performance aircrafts that operate over a wide range of speeds and altitudes. Since more and more adaptive algorithms are applied in various control applications, it is considered as important for practical implementation. Adaptive control is thus a significant guidance for technology development, and this fact is confirmed by the increasing number of conferences, journals and books on adaptive control topics. Besides, a number of commercial adaptive regulators based on different ideas appeared on the market and the industrial use of adaptive control is growing slowly but surely.
In the last decade, a leading research direction for adaptive control engineering research emerged based on the introduction of ‘Fractional Calculus’ in control law design.
Fractional calculus can be defined as the generalization of classical calculus to orders of integration and differentiation not necessarily integer. Though the concepts of non-integer-order operators are by no means new, the first meeting devoted to the topic took place in 1974, in New Haven, Connecticut, USA. Even at such an event, fractional calculus was a matter of almost exclusive interest for few mathematicians and theoretical physicists.
Recently, considerable focus on fractional calculus has been observed in different areas of system and control fields. The introduction of fractional calculus concepts in the area of automatic control systems was back in the early sixties. But, it is only in the last three decades that fractional calculus based controllers have gained more interest from the control community. The main motivation for this growing interest has been the engineering applications, especially the control engineering ones. The main objective was to enhance the system control quality performances and robustness.
Particularly, research in fractional order control was encouraged by the good behavior performances and robustness of fractional order systems. Several robust control methods based on these systems have been developed, like the CRONE control (Oustaloup 1991), the generalized fractional order PIλDμ control (Podlubny 1999) and the fractional adaptive control (Vinagre et al. 2002, Ladaci and Charef 2002, 2006, … 2016).
The interest for the introduction of these systems in adaptive control has been first motivated by the very good proven performances of fractional systems with respect to those of integer order. Many authors have proposed new fractional adaptive control laws, mostly inspired from classical adaptive control schemes. It is worth to notice that this effort towards the generalization of adaptive control theory to fractional order systems has revealed important open problems, particularly the problem of stability analysis of such control systems.
The present talk will expose some recent results obtained with many PhD theses, mainly concerning development of new adaptive control laws and their applications in different engineering fields:
Fractional adaptive control theory: Many new fractional adaptive control schemes have been proposed by our team, with a consequent enhancement of the control system performance comparatively to classical configurations, mainly by exploiting the fractional operators and systems properties. Contributions to these topics include:
Fractional order Extremum seeking approach
Fractionalized adaptive control
Fractional pole placement adaptive control
Fractional adaptive control of nonlinear systems
Fractional Model reference adaptive control
…
Applications: Many examples of efficient applications of the mentioned fractional adaptive control have been performed in different domains:
Control and Synchronization of fractional order chaotic systems.
Control improvement of SCARA robot behavior.
Control of PV panels for renewable energy systems.
Elimination of chattering phenomena in adaptive sliding mode control
Control of electrical machines: DC motor velocity.
ABS Braking Control of vehicle motion system.
Outlook: The future research work directions on fractional adaptive control theory and interesting application are investigated and discussed to conclude this talk.
报告学者简介: Samir Ladaci received the State Engineer degree in Automatics from the Ecole Nationale Polytechnique of Algiers in 1995 and the Magister degree in Industrial Automation from Annaba University, Algeria in 1999. He received his Ph.D. and HDR degree (Habilitation à diriger les Recherches) from the department of Electronics, Mentouri University of Constantine, Algeria in 2007 and 2009 respectively.
From 2001 to 2013, he was an assistant professor and then associate professor (Maitre de conférence 'A') in the Department of Electrical Engineering at Skikda University, Algeria. And from December 2013 to October 2021 ha was with the National Polytechnic School of Constantine, Algeria as a Full Professor in Automatics and Control Engineering since January 2015. Beginning from 1rst November 2021 he joins the Ecole Nationale Polytechnique at Algiers, Algeria where he is the Head of the research group '.Automation, Optimized Systems and Fractional Order Control' at the Laboratory of Advanced Multidisciplinary Industrial & Systems Engineering.
He authored more than 240 papers in indexed journals and international conference proceedings and coauthored a Book and many book chapters; he also supervised more than 13 (ended) PhD theses.
His current research interests include Fractional order Systems and Control, Fractional Adaptive Control, Robust Control, Fractional order chaotic systems, Identification..