Multiloop PI/PID controller design based on Gershgorin bands

Chen, D.; Seborg, Dale E.

doi:10.1109/acc.2001.946377

Cited by 20 publications

(18 citation statements)

References 11 publications

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“…The solid line represents the output performance of the real system (31), with the proposed feedback/feedforward PID controller (35), and the corresponding approximate system response shown with the dash-dot line. The best performance as cited in reference [4], with PID setting (β = 1, f = 1), is shown with the dotted line in Fig. 8.…”

Section: G D K I a Bmentioning

confidence: 61%

“…Although our proposed methodology for MIMO PID controller design does not require that the plant be of, or can be decoupled into a form of SISO systems, we let the plant be diagonally dominant, so that the designed controller would be near to being decentralized. The static decoupler [4,7] is widely used as a pre-compensator in MIMO system design for achieving approximate decoupling. In general, this decoupler is defined as…”

Section: Problem Formulationmentioning

confidence: 99%

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Digital Pid Controller Design for Delayed Multivariable Systems

Zhang

Shieh

Akujuobi

et al. 2004

Asian Journal of Control

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A new methodology is proposed to design digital PID controllers for multivariable systems with time delays. Except for a few parameters that are preliminarily selected, most of the PID parameters are systematically tuned using the developed plant state-feedback and controller state-feedforward LQR approach, such that satisfactory performance with guaranteed closed-loop stability is achieved. In order to deal with the modeling error owing to the delay time rational approximation, an IMC structure is utilized, such that robust stability is achieved, without need for an observer, and with improved online tuning convenience. Using the prediction-based digital redesign method, the digital implementation is obtained based on the above-proposed analog controller, such that the resulting mixed-signal system performance will closely match that of the analog controlled system. An illustrative example is given for comparison with alternative techniques.

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Section: G D K I a Bmentioning

confidence: 61%

Section: Problem Formulationmentioning

confidence: 99%

Digital Pid Controller Design for Delayed Multivariable Systems

Zhang

Shieh

Akujuobi

et al. 2004

Asian Journal of Control

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“…Suppose that the plant is square and its static gain matrix is nonsingular. Note that static decoupling for the plant is usually helpful for control performance enhancement and adopted by Goodwin et al (2001) and Chen and Seborg (2002). Thus, K 1 can be chosen for static decoupling as K 1 = G -1 p (0), where G p (s) is the Laplace domain transfer function matrix of MIMO plant.…”

Section: Controller Designmentioning

confidence: 99%

State-Space Digital PI Controller Design for Linear Stochastic Multivariable Systems with Input Delay

et al. 2008

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Dans cet article, on propose un schéma de contrôle PI numérique centralisé pour des systèmes multivariables stochastiques linéaires avec un retard d'entrée. On utilise une approche à régulateur quadratique linéaire discret (LQR) avec placement de pôles pour obtenir un suivi des points de consigne satisfaisant avec une stabilité en boucle fermée garantie. En outre, la forme innovante du gain de Kalman est employée pour l'estimation des états sans connaissance préalable des propriétés de bruit. Comparé aux concepts existants, le schéma proposé offre une conception en boucle fermée optimale grâce au contrôleur PI qui peut être implanté numériquement pour des systèmes stochastiques multivariables avec un retard d'entrée. Son effi cacité sera démontrée par l'étude de simulation sur des exemples venant du contrôle de procédé industriel et du contrôle des aéronefs.

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“…Chen and Seborg [7,8] made use of the Gershgorin bands for the identification of critical points. They have developed new analytical formulas for the ultimate gain and ultimate frequency based on the system frequency response and Gershgorin bands.…”

Section: Introductionmentioning

confidence: 99%

A Critical Study of Decentralized Controllers for a Multivariable System

et al. 2004

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Industrial processes are naturally multivariable in nature. A comparison of multivariable decentralized controllers has been performed and a multivariable four interconnected water tank system, which exhibits a RHP (Right Half Plane) zero is considered for decentralized control. The characteristics of a four-tank system are discussed and a decentralized PI (Proportional-Integral) controller is designed for the system based on various control algorithms. The algorithms are simulated using MATLAB and the performances are compared for reference tracking, disturbance rejection and model uncertainty cases. The comparison of the results show that the controllers based on Gershgorin band and Ideal relay method are suitable for the control of a four-tank system.

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Multiloop PI/PID controller design based on Gershgorin bands

Cited by 20 publications

References 11 publications

Digital Pid Controller Design for Delayed Multivariable Systems

Digital Pid Controller Design for Delayed Multivariable Systems

State-Space Digital PI Controller Design for Linear Stochastic Multivariable Systems with Input Delay

A Critical Study of Decentralized Controllers for a Multivariable System

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