Taylor polynomial Approximation and Adaptive Passivity‐Based Control Applied to the Level Regulation of a Conical Tank

Travieso-Torres, Juan Carlos; Duarte‐Mermoud, Manuel A.; Beytía-Cancino, Orlando

doi:10.1002/asjc.1496

Cited by 6 publications

(4 citation statements)

References 9 publications

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“…Parámetros obtenidos para la planta para dos posiciones típicas de operación de la válvula de descarga. (Travieso et al, 2017). Se determinó que los valores de K=0.001 y α=0.25 aseguran un desempeño adecuado de la planta bajo control.…”

Section: Pruebas Experimentales Preliminaresunclassified

Control Basado en Pasividad para una Clase de Sistemas no Lineales y su Aplicación a la Regulación de Nivel de un Estanque Cónico

Travieso-Torres

Duarte‐Mermoud

Gutiérrez-Osorio

et al. 2018

Rev. iberoam. autom. inform. ind.

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ResumenEn este artículo científico se proponen dos estrategias de control basado en pasividad, una adaptable y la otra no adaptable para cierta clase de sistemas no lineales. A diferencia de la estrategia de control no adaptable, la adaptable no hace uso del conocimiento de los valores de los parámetros de la planta. Ambas estrategias son luego diseñadas y aplicadas para la regulación de nivel de un estanque cónico discutiéndose los resultados experimentalmente obtenidos luego de realizar un estudio comparativo experimental para verificar el comportamiento del sistema bajo control y evidenciar las ventajas y desventajas de los controladores. Los resultados muestran que el diseño del APBC es más simple que el diseño de los controladores PBC al no requerir el conocimiento de los parámetros de la planta controlada, también es más robusto frente a variaciones de un parámetro de la planta. Palabras Clave:Sistemas de control no-lineal, control adaptativo, pasividad. Passivity Based Control of a Class of Nonlinear Systems and its Application to the Level Regulation of a Conical Tank AbstractAn adaptive passivity-based controller (APBC) and a non-adaptive passivity-based controller (PBC) are proposed in this paper. In contrast to PBC, the APBC strategy does not make use of the knowledge of the values of the plant parameters. Both strategies are also designed and applied to the level regulation of a conical tank, discussing the experimental results obtained after performing an experimental comparative study to verify the behavior of the system under control and to demonstrate the advantages and disadvantages of the controllers. The results show that the design of the APBC is simpler than the design of PBC controllers by not requiring the knowledge of the plant parameters; it is also more robust in front of variations of a plant parameter.

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Section: Pruebas Experimentales Preliminaresunclassified

Control Basado en Pasividad para una Clase de Sistemas no Lineales y su Aplicación a la Regulación de Nivel de un Estanque Cónico

Travieso-Torres

Duarte‐Mermoud

Gutiérrez-Osorio

et al. 2018

Rev. iberoam. autom. inform. ind.

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“…Further, the controller parameters are adjusted based on the defined algorithm to attain the desired servo response. A comparative analysis is carried out between the adaptive passivity-based controller (APBC) and fractional-order APBC (FOAPBC) as discussed in [ 5 ]. However, it is inferred that FOAPBC is able to reduce the overshoot by attaining the desired response.…”

Section: Introductionmentioning

confidence: 99%

Frequency Domain Specifications Based Robust Decentralized PI/PID Control Algorithm for Benchmark Variable-Area Coupled Tank Systems

K.R.¹,

Mahapatra²

2022

Sensors

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A decentralized PI/PID controller based on the frequency domain analysis for two input two output (TITO) coupled tank systems is exploited in this paper. The fundamentals of the gain margin and phase margin are used to design the proposed PI/PID controller. The basic objective is to keep the tank at the predetermined level. To satisfy the design specifications, the control algorithm is implemented for decoupled subsystems by employing a decoupler. First-order plus dead time (FOPDT) models are obtained for the decoupled subsystems using the model-reduction technique. In addition, the control law is realized by considering the frequency domain analysis. Further, the robustness of the controller is verified by considering multiplicative input and output uncertainties. The proposed method is briefly contrasted with existing techniques. It is envisaged that the proposed control algorithm exhibits better servo and regulatory responses compared to the existing techniques.

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“…Tamilselven et al [50] estimated the plant parameters and control using online kalman filter based fuzzy logic controller. Similarly, adaptive passivity based adaptive control algorithm with Taylor polynomial approximation for a level regulation of a conical tank system is developed by [51]. Lot of control algorithm is proposed for control of conical tank system but still, it is an open issue in current and future.…”

Section: Introductionmentioning

confidence: 99%

Optimal tuning of FOPID controller based on PSO algorithm with reference model for a single conical tank system

Rajesh¹

2019

SN Appl. Sci.

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The fractional order proportional integral derivative controller (FOPID) replaces the conventional PID controller for its immense merits such as its simple structure, better set point tracking, high disturbance rejection, higher capability of handling model uncertainties in nonlinear and real time applications. This paper addresses the effectiveness of the FOPID controller on a level control of single conical system in real time. It is one of the classical nonlinear control problem and its shape not only contributes the proper mixing of liquids and also guarantee to drainage of solid wastes. This study, a dual loop controller is proposed and constructed with a master process and slave process for a level control of a single conical tank system. In the slave process, the output response obtained by the traditional PID controller combined with the conical tank reference model and compared with the output response of the master process. The obtained error signal is used to dynamically correct the parameters of the FOPID controller in the master process. The tuning of FOPID controller is a challenging task due to its presence of extra parameters and it efficiently carried out by particle swarm optimization (PSO) algorithm. The obtained result reveals that the Proposed PSO optimized FOPID controller with reference model demonstrated the better set point tracking, smooth controller response than other conventional integer order controllers.

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Taylor polynomial Approximation and Adaptive Passivity‐Based Control Applied to the Level Regulation of a Conical Tank

Cited by 6 publications

References 9 publications

Control Basado en Pasividad para una Clase de Sistemas no Lineales y su Aplicación a la Regulación de Nivel de un Estanque Cónico

Control Basado en Pasividad para una Clase de Sistemas no Lineales y su Aplicación a la Regulación de Nivel de un Estanque Cónico

Frequency Domain Specifications Based Robust Decentralized PI/PID Control Algorithm for Benchmark Variable-Area Coupled Tank Systems

Optimal tuning of FOPID controller based on PSO algorithm with reference model for a single conical tank system

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