Computation of stabilizing PI and PID controllers using the stability boundary locus

Tan, Nusret; Kaya, İbrahim; Yeroğlu, Celaleddin; Atherton, D.P.

doi:10.1016/j.enconman.2006.03.022

Cited by 225 publications

(175 citation statements)

References 9 publications

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“…It can be done e.g. via the Tan's (et al) method [6], [7] or through the Kronecker summation method [10] and their combination with the sixteen plant theorem [3], [18]. A brief overview of these techniques can be found also in [19], [20].…”

Section: Key Resultsmentioning

confidence: 99%

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Robust Stabilization of a Continuous Stirred Tank Reactor Model

Matušů¹

2016

Proceedings of the 27th International DAAAM Symposium 2016

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The main goal of this contribution is to outline an approach to robust stabilization of a continuous stirred tank reactor (CSTR) by means of PI controller. The linearized mathematical model of the CSTR with an exothermic reaction is supposed in the form of the fourth order interval system and its robust stabilization is based on combination of a method for calculating/plotting the stability boundary, the sixteen plant theorem and an algebraic approach to control design. The validity of the technique is verified on a simulative example of CSTR control.

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Section: Key Resultsmentioning

confidence: 99%

“…The mathematical model of CSTR, robustly stabilized in this contribution, was constructed in [5]. Furthermore, the same work [5] presented stabilization of the CSTR by using the technique from [6], [7] and the pole-placement method. Besides, robust static output feedback control was applied to this CSTR in [8].…”

Section: Introductionmentioning

confidence: 99%

Robust Stabilization of a Continuous Stirred Tank Reactor Model

Matušů¹

2016

Proceedings of the 27th International DAAAM Symposium 2016

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“…From the control scheme diagram shown in Figure 2, and considering the control law in (13), the closed-loop characteristic polynomial derived in (10) can be separated and solved to zero; then the control parameters can be written as [17] …”

Section: Controller Parameters Tuningmentioning

confidence: 99%

“…This method can be expanded to estimate the stabilizing region of PID controller gains as shown in [17].…”

Section: Controller Parameters Tuningmentioning

confidence: 99%

Controller Parameters Tuning Based on Transfer Matrix Method for Multibody Systems

Hendy

Rui

Zhou

et al. 2014

Advances in Mechanical Engineering

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Transfer matrix method for multibody systems (MS-TMM) is a rife method to multi-rigid-flexible-body systems dynamics model deduction due to that there are no needs to establish the global dynamics equations of the system. Its basic idea is transferring a state vector between the body input(s) and output(s); this idea is close to the linear theories in control analysis and design. In this paper, three controllers' parameters tuning techniques for the proposed system model using MS-TMM are utilized; one technique is applied to get the stability regions via the frequency response of MS-TMM derived model. Another technique considers a classical PID controller design through the analysis of step input response of the system, and the last technique can be applied in both time and frequency domains if the model has a known mathematical model. A car suspension system is considered to represent modeling and tuning problems. In-depth study of MS-TMM with control techniques and defining the controllers' parameters stability regions provide an opportunity to formulate a relationship between MS-TMM and control design for novel control applications due to the powerful strength of MS-TMM dealing with more complex problems of the controlled multibody systems.

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“…Recently, Nie et al [6] implemented compensator based on gain and phase margin specifications to reduce the peak overshoot. Nusret Tan et al [7] designed a method to calculate all stabilizing PI controllers. Anwar and Somnath [8] designed a tuning method based on Frequency response of the system.…”

Section: Introductionmentioning

confidence: 99%

Design Of Pid Controller With Compensator Using Direct Synthesis Method For Unstable System

Atchaya¹,

Pandey²

2016

IJECS

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In industrial processes, unstable system produces undesirable peak overshoot. So, PID controller with compensator and set point filter is designed using direct synthesis method. The set point filter reduces the peak overshoot. PID controller with compensator improves the overall response of the system. In this method, the characteristics equation of the system with PID controller and a compensator is compared with a desired characteristics equation. A single tuning parameter is used to find controller parameters, compensator and set point filter.

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Computation of stabilizing PI and PID controllers using the stability boundary locus

Cited by 225 publications

References 9 publications

Robust Stabilization of a Continuous Stirred Tank Reactor Model

Robust Stabilization of a Continuous Stirred Tank Reactor Model

Controller Parameters Tuning Based on Transfer Matrix Method for Multibody Systems

Design Of Pid Controller With Compensator Using Direct Synthesis Method For Unstable System

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