An alternative to proportional‐integral and proportional‐integral‐derivative regulators: Intelligent proportional‐derivative regulators

Fliess, Michel; Join, Cédric

doi:10.1002/rnc.5657

Cited by 50 publications

(29 citation statements)

References 47 publications

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“…Future work may include replacing the slope or the quadratic initial transient by an optimal control; improvement of the proposed model-free based control; implementation and comparison with the original Fliess-Join version of the model-free control, as it has been done, for example, for the glycemia control [11]. Stability issues regarding the closed loop are very important and a promising LMI framework dedicated to study the stability of optimization algorithms is also of interest [7,20].…”

Section: Discussionmentioning

confidence: 99%

“…The model-free control methodology, originally proposed by Fliess and Join in [10], has been designed to control a priori any "unknown" dynamical system in a "robust" manner, and is referred to as "a self-tuning regulator" in [1]. This control law can be considered as an alternative to PI and PID controllers [11] and the performances are really satisfactory taking into account that the control is calculated based only on the information provided by the controlled input and the measured output signal of the controlled systems. This control law has been extensively and successfully applied to control many nonlinear processes: see, e.g., [3,10,12] and the references therein.…”

Section: Introductionmentioning

confidence: 99%

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Model-free based control of a HIV/AIDS prevention model

Michel,

Silva,

Torres

2021

Preprint

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Controlling an epidemiological model is often performed using optimal control theory techniques for which the solution depends on the equations of the control system, objective functional and possible state and/or control constraints. In this paper, we propose a model-free control approach based on an algorithm that operates in 'real-time' and drives the state solution according to a direct feedback on the state solution that is aimed to be minimized, and without knowing explicitly the equations of the control system. We consider a concrete epidemic problem of minimizing the number of HIV infected individuals, through the preventive measure pre-exposure prophylaxis (PrEP) given to susceptible individuals. The solutions must satisfy control and mixed state-control constraints that represent the limitations on PrEP implementation. Our model-free based control algorithm allows to close the loop between the number of infected individuals with HIV and the supply of PrEP medication 'in real time', in such manner that the number of infected individuals is asymptotically reduced and the number of individuals under PrEP medication is below a fixed constant value. We prove the efficiency of our approach and compare the model-free control solutions with the ones obtained using a classical optimal control approach via Pontryagin maximum principle. The performed numerical simulations allow us to conclude that the model-free based control strategy highlights new and interesting performances compared with the classical optimal control approach.

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Section: Discussionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Model-free based control of a HIV/AIDS prevention model

Michel,

Silva,

Torres

2021

Preprint

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“…After first trials in Paris it has been quite often employed in many different places. Following [1], we are using here model-free control in the sense of [12,13] and, more precisely, intelligent proportional controllers. This setting, which has been successfully tested in many concrete situations, has already been illustrated via various questions about intelligent transportation systems (see, e.g., [4,7,17,30,31,36,40,41,42]).…”

Section: No Difficult Estimation Technique Implementing Any Control L...mentioning

confidence: 99%

Ramp metering: modeling, simulations and control issues

Join,

Abouaïssa,

Fliess

2021

Preprint

Self Cite

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The aim of ramp metering is to improve the highway traffic conditions by an appropriate regulation of the inflow from the on-ramps to the highway mainstream. Our presentation rests on several improvements: 1) Our simulation techniques do not need contrarily to other approaches any heuristic fundamental law. 2) There is no need of crucial time-varying quantities, like the critical density, which is most difficult to estimate correctly online. 3) Our feedback loop, which is stemming from model-free control, is easy to implement and shows an excellent robustness with respect to model mismatch. Several computer experiments are displayed and discussed.

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“…Besides the aforementioned TDE and UDE based control, the classical PD control and PID control, as well as the recent proposed intelligent PD (iPD) control and intelligent PID (iPID) control 36 have been also widely used for model free control, where the iPD control and iPID control can obtain exponential stability for trajectory tracking control since a disturbance observer was utilized to estimate the disturbance, which have been used in control of vehicle, 37 exoskeleton, 38 aerodynamic system 39 . But most existing studies did not consider the disturbance error and the finite‐time convergence cannot be obtained.…”

Section: Introductionmentioning

confidence: 99%

Model free based finite time fault‐tolerant control of robot manipulators subject to disturbances and input saturation

Chen

Xuesong

Cheng

2022

Intl J Robust & Nonlinear

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This article proposed a model free based finite time fault-tolerant control (FTC) method of robot manipulators subject to unknown disturbances, input saturation, and actuator faults. First, an accuracy-driven integral terminal sliding mode surface (ADITSMS) was constructed, and the finite-time convergence and the parametric analysis were investigated. Second, based on the proposed ADITSMS, a double-loop control framework which consists of the position loop and velocity loop was proposed, and the finite time command filtered algorithm was utilized to estimate the derivative of the virtual control law of the position loop, thus a novel finite-time robust adaptive FTC was proposed. Third, to eliminate the negative effects of the faults and disturbances and implement model free control, the uncertainty and disturbance estimation is designed, and a novel adaptive algorithm is developed to suppress the estimation error whose upper bound or derivative was not required. Meanwhile, an auxiliary system is constructed to deal with the input saturation. The proposed controller possess the superiorities of model free nature and global finite time convergence property. Finally, numerical simulations and comparison studies were conducted to demonstrate the effectiveness of the proposed controller.

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An alternative to proportional‐integral and proportional‐integral‐derivative regulators: Intelligent proportional‐derivative regulators

Cited by 50 publications

References 47 publications

Model-free based control of a HIV/AIDS prevention model

Model-free based control of a HIV/AIDS prevention model

Ramp metering: modeling, simulations and control issues

Model free based finite time fault‐tolerant control of robot manipulators subject to disturbances and input saturation

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