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Related papers: Model-free control

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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

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

An elementary mathematical example proves, thanks to the Routh-Hurwitz criterion, a result that is intriguing with respect to today's practical understanding of model-free control, i.e., an "intelligent" proportional controller (iP) may…

Systems and Control · Computer Science 2017-11-09 Cédric Join , Emmanuel Delaleau , Michel Fliess , Claude H. Moog

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

"Model-free" control and the related "intelligent" proportional-integral (PI) controllers are successfully applied to freeway ramp metering control. Implementing moreover the corresponding control strategy is straightforward. Numerical…

Optimization and Control · Mathematics 2012-06-27 Hassane Abouaissa , Michel Fliess , Violina Iordanova , Cédric Join

It is shown that the "intelligent" controllers which are associated to the recently introduced model-free control synthesis may be easily implemented on cheap and small programmable devices. Several successful numerical experiments are…

Optimization and Control · Mathematics 2013-07-19 Cédric Join , Frédéric Chaxel , Michel Fliess

The ubiquity of PID controllers in the industry has remained mysterious until now. We provide here a mathematical explanation of this strange phenomenon by comparing their sampling with the the one of "intelligent" PID controllers, which…

Optimization and Control · Mathematics 2010-07-01 Brigitte D'Andrea Novel , Michel Fliess , Cédric Join , Hugues Mounier , Bruno Steux

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 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

As is well-known, the classical PID control plays a dominating role in various control loops of industrial processes. However, a theory that can explain the rationale why the linear PID can successfully deal with the ubiquitous uncertain…

Optimization and Control · Mathematics 2022-05-10 Cheng Zhao , Lei Guo

Practical design and tuning of feedback controllers has often to get by without a model of the dynamic process at hand. Only some general assumptions about the system dynamics, in this work type-one stable, can be available for engineers,…

Systems and Control · Electrical Eng. & Systems 2026-05-07 Michael Ruderman

The canonical proportional-integral-derivative (PID) control approach has been widely used in industrial application due to their simplicity and ease of use. However, its corresponding controller parameters are hard to be adjusted,…

Optimization and Control · Mathematics 2020-05-05 Xiaojun Zhou

Control of an inflammatory immune response is still an ongoing research. Here, a strategy consisting of manipulating a pro and anti-inflammatory mediator is considered. Already existing and promising model-based techniques suffer…

Optimization and Control · Mathematics 2016-07-26 Ouassim Bara , Michel Fliess , Cédric Join , Judy Day , Seddik M. Djouadi

Proportional-Integral-Differential (PID) control is widely used in industrial control systems. However, up to now there are at least two open problems related with PID control. One is to have a comprehensive understanding of its robustness…

Systems and Control · Electrical Eng. & Systems 2025-04-22 Bo Zhu , Wei Yu , Hugh H. T. Liu

The model-based control of building heating systems for energy saving encounters severe physical, mathematical and calibration difficulties in the numerous attempts that has been published until now. This topic is addressed here via a new…

Systems and Control · Computer Science 2017-09-08 Hassane Abouaïssa , Ola Alhaj Hasan , Cédric Join , Michel Fliess , Didier Defer

Proportional-Integral-Derivative (PID) control has been the workhorse of control technology for about a century. Yet to this day, designing and tuning PID controllers relies mostly on either tabulated rules (Ziegler-Nichols) or on classical…

Optimization and Control · Mathematics 2023-11-21 Qi Mao , Yong Xu , Jianqi Chen , Jie Chen , Tryphon Georgiou

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

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

The connections between optimal control and Bayesian inference have long been recognised, with the field of stochastic (optimal) control combining these frameworks for the solution of partially observable control problems. In particular,…

Optimization and Control · Mathematics 2022-03-10 Manuel Baltieri

This paper suggests to replace PIs and PIDs, which play a key role in control engineering, by intelligent Proportional-Derivative feedback loops, or iPDs, which are derived from model-free control. This standpoint is enhanced by a…

Systems and Control · Electrical Eng. & Systems 2021-07-08 Michel Fliess , Cédric Join
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