IMC-like analytical <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si14.gif" overflow="scroll"><mml:mrow><mml:msub><mml:mstyle mathvariant="script"><mml:mi>H</mml:mi></mml:mstyle><mml:mo>∞</mml:mo></mml:msub></mml:mrow></mml:math> design with S/SP mixed sensitivity consideration: Utility in PID tuning guidance

Alcántara, S.; Zhang, Wensheng; Pedret, Carles; Vilanova, Ramón; Skogestad, Sigurd

doi:10.1016/j.jprocont.2011.04.007

Cited by 31 publications

(23 citation statements)

References 22 publications

Supporting

Mentioning

Contrasting

Unclassified

Order By: Relevance

“…To verify the effectiveness and practicality of the controller (18), we carry out same experiments of the controller (17). The tracking curves to sine signals with amplitude 0.5 degree and frequencies 1 Hz, 3 Hz, 6 Hz, and 9Hz are shown in Figure 17, and the numerical comparison of theoretical and experimental results of sinusoidal responses are shown in Table 2.…”

Section: Figure 16mentioning

confidence: 99%

“…Other analytical methods in other works fixed the structure of the controller to be PID. Additionally, thereinto, Alcántara et al addressed the servo/regulator and robustness/performance trade‐off by analyzing the effect of an only parameter; Jin et al designed a PID controller considering the maximum sensitivity and the integral square error criterion for step signals; Zhang et al provided the quantitative time‐domain responses while Zhang et al presented the quantitative frequency responses including resonance peaks and stability margins for process control systems in a graphic way. Wang et al designed a PID controller for the first‐order velocity servo system to ensure that the frequency characteristic of the open‐loop transfer function passes through 0 dB at a given frequency, and the desired phase margin is achieved.…”

Section: Introductionmentioning

confidence: 99%

“…The methods can provide good performance in terms of disturbance rejection if the design parameters are selected properly, but the trial and error is indispensable because no quantitative relations between frequency response and the controller were established to facilitate parameter selection. Other analytical methods in other works [16][17][18][19][20][21][22] fixed the structure of the controller to be PID. Additionally, thereinto, Alcántara et al [16][17][18] addressed the servo/regulator and robustness/performance trade-off by analyzing the effect of an only parameter; Jin et al 19 designed a PID controller considering the maximum sensitivity and the integral square error criterion for step signals; Zhang et al 20 provided the quantitative time-domain responses while Zhang et al 21 presented the quantitative frequency responses including resonance peaks and stability margins for process control systems in a graphic way.…”

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

A direct design method of controllers based on the frequency response indices for servo systems

Chen

et al. 2018

Optim Control Appl Methods

View full text Add to dashboard Cite

Summary To improve the design efficiency of servo systems, a novel controller design method is proposed based on the desired closed‐loop transfer functions satisfying the required frequency response indices. Taking into account the constraint due to the physical realizability of controllers, the desired closed‐loop transfer functions are specified. In addition, the analytical expressions for certain kinds of performance indices and design constraints, including dual‐ten indices of frequency responses, crossover frequency, phase margin, and magnitude margin, are derived. Then, the principles for controller parameter determination are discussed. The controller design is formulated as an optimal problem with a variety of constraints, and the design guidelines are presented. At last, experiments are conducted to verify the effectiveness of the proposed method.

show abstract

Section: Figure 16mentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

A direct design method of controllers based on the frequency response indices for servo systems

Chen

et al. 2018

Optim Control Appl Methods

View full text Add to dashboard Cite

show abstract

“…The study suggests how to shift each compromise based upon constraint for several types of processes. They have extended the preliminary design concept of balanced autotuning, which was published earlier [24][25][26]. K-SIMC method, a modification of SIMC rule has been proposed recently by Lee et al [27].…”

Section: Introductionmentioning

confidence: 99%

A Frequency Domain PID Controller Design Method Using Direct Synthesis Approach

2015

View full text Add to dashboard Cite

In this study, the PID controller design method based on direct synthesis approach for achieving the desired set-point or load-disturbance response is proposed. The PID controller is derived using an approximate frequencyresponse-matching criteria. A simple criterion has been also provided to choose the frequency points for matching of the proposed PID controller with the desired direct synthesis controller. It is a unified approach which deals with broad class of processes including integrating and inverse response, and it is directly applicable to any order of process with time delay. The ideal controller based on the direct synthesis approach has been directly approximated to the PID controller in desired frequency range. Therefore, the proposed method is free from model reduction in high-order process to low-order process and also rational approximation of the time-delay term e −sL . The advantage of method is illustrated through examples taken from the literature and compared with some of the well-known methods.

show abstract

“…The study suggests how to shift each compromise based upon constraint for several types of processes. They extended the preliminary design concept of balanced autotuning which was published earlier [35][36][37].…”

Section: Introductionmentioning

confidence: 99%

A unified approach for proportional-integral-derivative controller design for time delay processes

Shamsuzzoha

2014

Korean J. Chem. Eng.

View full text Add to dashboard Cite

An analytical design method for PI/PID controller tuning is proposed for several types of processes with time delay. A single tuning formula gives enhanced disturbance rejection performance. The design method is based on the IMC approach, which has a single tuning parameter to adjust the performance and robustness of the controller. A simple tuning formula gives consistently better performance as compared to several well-known methods at the same degree of robustness for stable and integrating process. The performance of the unstable process has been compared with other recently published methods which also show significant improvement in the proposed method. Furthermore, the robustness of the controller is investigated by inserting a perturbation uncertainty in all parameters simultaneously, again showing comparable results with other methods. An analysis has been performed for the uncertainty margin in the different process parameters for the robust controller design. It gives the guidelines of the M s setting for the PI controller design based on the process parameters uncertainty. For the selection of the closed-loop time constant, (τ c ), a guideline is provided over a broad range of θ/τ ratios on the basis of the peak of maximum uncertainty (M s ). A comparison of the IAE has been conducted for the wide range of θ/τ ratio for the first order time delay process. The proposed method shows minimum IAE in compared to SIMC, while Lee et al. shows poor disturbance rejection in the lag dominant process. In the simulation study, the controllers were tuned to have the same degree of robustness by measuring the M s , to obtain a reasonable comparison.

show abstract

IMC-like analytical H∞ design with S/SP mixed sensitivity consideration: Utility in PID tuning guidance

Cited by 31 publications

References 22 publications

A direct design method of controllers based on the frequency response indices for servo systems

A direct design method of controllers based on the frequency response indices for servo systems

A Frequency Domain PID Controller Design Method Using Direct Synthesis Approach

A unified approach for proportional-integral-derivative controller design for time delay processes

Contact Info

Product

Resources

About