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We are introducing a model-free control and a control with a restricted model for finite-dimensional complex systems. This control design may be viewed as a contribution to "intelligent" PID controllers, the tuning of which becomes quite…

Optimization and Control · Mathematics 2009-04-03 Michel Fliess , Cédric Join

Set-point tracking for systems with unknown model parameters is a fundamental problem in control, and two-degree-of-freedom (2DOF) Proportional-Integral (PI) controllers -- consisting of a feedforward controller and PI controller -- are…

Optimization and Control · Mathematics 2026-01-08 Taiga Kiyota , Kazuhiro Sato

"Model-free control" and the corresponding "intelligent" PID controllers (iPIDs), which already had many successful concrete applications, are presented here for the first time in an unified manner, where the new advances are taken into…

Optimization and Control · Mathematics 2013-11-21 Michel Fliess , Cédric Join

Feedback optimization is a control paradigm that enables physical systems to autonomously reach efficient operating points. Its central idea is to interconnect optimization iterations in closed-loop with the physical plant. Since iterative…

Optimization and Control · Mathematics 2024-07-16 Zhiyu He , Saverio Bolognani , Jianping He , Florian Dörfler , Xinping Guan

A new "model-free" control methodology is applied to a boost power converter. The properties of the boost converter allow to evaluate the performances of the model-free strategy in the case of switching nonlinear transfer functions,…

Systems and Control · Computer Science 2013-10-10 Loïc Michel , Wim Michiels , Xavier Boucher

A new "model-free" control methodology is applied for the first time to power systems included in microgrids networks. We evaluate its performances regarding output load and supply variations in different working configuration of the…

Systems and Control · Computer Science 2015-03-19 Loïc Michel , Wim Michiels , Xavier Boucher

Resonant controllers are widely used in applications involving reference tracking and disturbance rejection of periodic signals. The controller design is typically performed by a trial-and-error approach or by means of time and…

Systems and Control · Electrical Eng. & Systems 2020-07-07 Charles Lorenzini , Luís Fernando Alves Pereira , Alexandre Sanfelice Bazanella , Gustavo R. Gonçalves da Silva

The experience gained with numerous successful applications permits to revisit some points of model-free control. The numerical differentiation of noisy signals may be replaced by a real time parameter identification which is much simpler.…

Optimization and Control · Mathematics 2011-04-01 Michel Fliess , Cédric Join , Samer Riachy

We present a data-driven optimal control framework that can be viewed as a generalization of the path integral (PI) control approach. We find iterative feedback control laws without parameterization based on probabilistic representation of…

Systems and Control · Computer Science 2016-02-02 Yunpeng Pan , Evangelos A. Theodorou , Michail Kontitsis

In this paper, we propose a model-free feedback solution method to solve generic constrained optimization problems, without knowing the specific formulations of the objective and constraint functions. This solution method is termed…

Optimization and Control · Mathematics 2022-06-23 Xin Chen , Jorge I. Poveda , Na Li

Data-driven control has gained significant attention in recent years, particularly regarding feedback linearization of nonlinear systems. However, existing approaches face limitations when it comes to implementing them on hardware. The main…

Systems and Control · Electrical Eng. & Systems 2023-07-13 Karthik Shenoy , Akshit Saradagi , Ramkrishna Pasumarthy , Vijaysekhar Chellaboina

The model-free control approach is an advanced control law that requires few information about the process to control. Since its introduction in 2008, numerous applications have been successfully considered, highlighting attractive…

Systems and Control · Computer Science 2025-02-27 Loïc Michel

We present a simple model-free control algorithm that is able to robustly learn and stabilize an unknown discrete-time linear system with full control and state feedback subject to arbitrary bounded disturbance and noise sequences. The…

Optimization and Control · Mathematics 2020-10-02 Dimitar Ho , John Doyle

Model-Free Control has proven its performance in a wide variety of systems. Although its adequate tuning can be achieved using the knowledge of the system and optimization-based approaches, there is not yet a systematic design procedure for…

Systems and Control · Electrical Eng. & Systems 2023-04-20 M. Moreno-Gonzalez , J. Villagra

Model-Free Control (MFC) has been applied to a wide variety of systems in which it has shown its performance. MFC offers "model-free operation", but the controller design requires some information from the nominal plant. This paper…

Systems and Control · Electrical Eng. & Systems 2024-11-05 Marcos Moreno-Gonzalez , Antonio Artuñedo , Jorge Villagra

Many techniques have been developed for the loop-shaping method in control design. While most loop-shaping methods apply a model of the open-loop controlled plant, the resulting performance depends on the accuracy of the dynamical model.…

Systems and Control · Electrical Eng. & Systems 2020-11-25 Li-Wei Shih , Cheng-Wei Chen

We consider the design of a new class of passive iFIR controllers given by the parallel action of an integrator and a finite impulse response filter. iFIRs are more expressive than PID controllers but retain their features and simplicity.…

Systems and Control · Electrical Eng. & Systems 2024-07-02 Zixing Wang , Yongkang Huo , Fulvio Forni

This paper presents the design and implementation of data-driven optimal derivative feedback controllers for an active magnetic levitation system. A direct, model-free control design method based on the reinforcement learning framework is…

Systems and Control · Electrical Eng. & Systems 2026-02-09 Saber Omidi , Rene Akupan Ebunle , Se Young Yoon

A new model-free setting and the corresponding "intelligent" P and PD controllers are employed for the longitudinal and lateral motions of a vehicle. This new approach has been developed and used in order to ensure simultaneously a best…

Optimization and Control · Mathematics 2015-03-25 Lghani Menhour , Brigitte D'Andréa-Novel , Michel Fliess , Dominique Gruyer , Hugues Mounier

In power distribution systems, the growing penetration of renewable energy resources brings new challenges to maintaining voltage safety, which is further complicated by the limited model information of distribution systems. To address…

Optimization and Control · Mathematics 2021-03-30 Xin Chen , Jorge I. Poveda , Na Li
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