Hybrid cascade control for a class of nonlinear dynamical systems

Campos-Rodríguez, Armando; García-Sandoval, J.P.; González‐Álvarez, V.; González-Álvarez, Alejandro

doi:10.1016/j.jprocont.2019.02.007

Cited by 19 publications

(9 citation statements)

References 27 publications

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“…Few studies have demonstrated their application for processes where the transfer functions of the primary and secondary loop are parallel [49,50]. Performance of the cascade control system is better than the conventional single loop control due to the presence of multiple sensors to measure conditions in a controlled process [51]. Cascade control strategy is required when the single loop control strategy fails to deliver satisfactory control output and secondary variable measurement is possible [52].…”

Section: Cascade Controlmentioning

confidence: 99%

Bioprocess Control: Current Progress and Future Perspectives

Rathore

Mishra

Nikita

et al. 2021

Life

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Typical bioprocess comprises of different unit operations wherein a near optimal environment is required for cells to grow, divide, and synthesize the desired product. However, bioprocess control caters to unique challenges that arise due to non-linearity, variability, and complexity of biotech processes. This article presents a review of modern control strategies employed in bioprocessing. Conventional control strategies (open loop, closed loop) along with modern control schemes such as fuzzy logic, model predictive control, adaptive control and neural network-based control are illustrated, and their effectiveness is highlighted. Furthermore, it is elucidated that bioprocess control is more than just automation, and includes aspects such as system architecture, software applications, hardware, and interfaces, all of which are optimized and compiled as per demand. This needs to be accomplished while keeping process requirement, production cost, market value of product, regulatory constraints, and data acquisition requirements in our purview. This article aims to offer an overview of the current best practices in bioprocess control, monitoring, and automation.

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Section: Cascade Controlmentioning

confidence: 99%

Bioprocess Control: Current Progress and Future Perspectives

Rathore

Mishra

Nikita

et al. 2021

Life

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“…Cascade control structure (CCS) was first introduced by Franks and Worley (1956). Since then, it has been extensively used in the process industries, mainly in level, temperature, pressure and flow control loops (Campos-Rodríguez et al , 2019; Guo et al , 2007; Ranganayakulu et al , 2020). With the use of additional sensors and controllers, the effect of disturbance on process variables is reduced significantly (Alfaro et al , 2009).…”

Section: Introductionmentioning

confidence: 99%

Cascade controllers design based on model matching in frequency domain for stable and integrating processes with time delay

Siddiqui

Anwar

Laskar

2022

COMPEL

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Purpose This paper aims to present an efficient and simplified proportional-integral/proportional-integral and derivative controller design method for the higher-order stable and integrating processes with time delay in the cascade control structure (CCS). Design/methodology/approach Two approaches based on model matching in the frequency domain have been proposed for tuning the controllers of the CCS. The first approach is based on achieving the desired load disturbance rejection performance, whereas the second approach is proposed to achieve the desired setpoint performance. In both the approaches, matching between the desired model and the closed-loop system with the controller is done at a low-frequency point. Model matching at low-frequency points yields a linear algebraic equation and the solution to these equations yields the controller parameters. Findings Simulations have been conducted on several examples covering high order stable, integrating, double integrating processes with time delay and nonlinear continuous stirred tank reactor. The performance of the proposed scheme has been compared with recently reported work having modified cascade control configurations, sliding mode control, model predictive control and fractional order control. The performance of both the proposed schemes is either better or comparable with the recently reported methods. However, the proposed method based on desired load disturbance rejection performance outperforms among all these schemes. Originality/value The main advantages of the proposed approaches are that they are directly applicable to any order processes, as they are free from time delay approximation and plant order reduction. In addition to this, the proposed schemes are capable of handling a wide range of different dynamical processes in a unified way.

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“…The above motivates to revisit the closed loop problem of a constant velocity adiabatic PFR with mass feedback, now using thermodynamical concepts that lead to a dissipative formulation. By manipulating the recycle rate, and indirectly increasing the residence time of a fraction of the stream, it is possible to manipulate the supply rate and regulate a desired process variable without linearizing the model, using a boundary PI controller with a cascade structure, where the inner loop tracks an entropy rate reference while the outer loop tracks a process variable, providing robustness against strong disturbances [31]. Thus, in this paper a boundary controller is defined by using the passivity properties of the entropy function, that by construction allows to regulate a state variable of a class of first order hyperbolic systems.…”

Section: Introductionmentioning

confidence: 99%

Dissipative Boundary Control for an Adiabatic Plug Flow Reactor With Mass Recycle

et al. 2022

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In this contribution the stability properties and regulation of a class of convective systems described by first order hyperbolic partial differential equations are studied. The systems' setting is consistent with the first and second laws of thermodynamics, allowing to use the entropy functional as a storage function and the internal entropy production as the dissipation in an analogue context to Hamiltonian systems. It is found that the difference of the entropy evaluated at the boundaries is directly proportional to the supply rate, fulfilling the dissipation inequality. Furthermore, the dynamics of the entropy balance allows to define a saturated Proportional-Integral controller with variable parameters, whose design is achieved through a cascade structure. The inner loop tracks an entropy reference, while the outer loop tracks a process variable. The main advantage of the regulation design is that only a lumped actuator is needed with continuous measurements at the boundaries. The controller is designed for an adiabatic plug flow reactor with a recycle of the output stream into the input stream, where the recycle rate is used as the control variable. Finally, the controller is tested to track a set point under several disturbances.

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Hybrid cascade control for a class of nonlinear dynamical systems

Cited by 19 publications

References 27 publications

Bioprocess Control: Current Progress and Future Perspectives

Bioprocess Control: Current Progress and Future Perspectives

Cascade controllers design based on model matching in frequency domain for stable and integrating processes with time delay

Dissipative Boundary Control for an Adiabatic Plug Flow Reactor With Mass Recycle

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