Robust Proportional–Integral–Derivative (PID) Design for Parameter Uncertain Second-Order Plus Time Delay (SOPTD) Processes Based on Reference Model Approximation

Gao, Xueshan; Zhang, Jie; Yang, Fan; Chen, Shang; Huang, Dexian

doi:10.1021/acs.iecr.7b03155

Cited by 8 publications

(2 citation statements)

References 32 publications

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“…The design of disturbance observer consists of reduction of nominal model [23][24][25] and the Qfilter design. The load frequency controller is designed utilizing the frequency response model matching approach [26][27][28].…”

Section: Introductionmentioning

confidence: 99%

Disturbance Observer-Based Frequency Regulation for Shipboard Microgrid With Communication Delay

Ruan

2023

IEEE Access

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Load frequency control of power systems is inherently a disturbance rejection issue. This paper proposes a disturbance observer-based frequency regulation approach for a shipboard microgrid system with communication delay. The proposed control method consists of the design of both disturbance observer and load frequency controller. The design of disturbance observer involves the acquisition of nominal model and the tuning of Q-filter. The nominal model is obtained via the complex curve fitting technique. Whereas the load frequency controller is designed by the frequency response model matching approach. The maximum sensitivity index is utilized as a robustness specification to tune both Q-filter and load frequency controller. The advantage of the proposed method is that inverse response process dynamics are considered into disturbance observer design to obtain better modeling accuracy and frequency regulation performance. Simulation examples including comparison with classical methods are presented to demonstrate the effectiveness of the proposed method.INDEX TERMS Disturbance observer, load frequency control, shipboard microgrid, complex curve fitting, frequency response model matching.

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Section: Introductionmentioning

confidence: 99%

Disturbance Observer-Based Frequency Regulation for Shipboard Microgrid With Communication Delay

Ruan

2023

IEEE Access

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“…A novel PID controller cascaded with a second order filter is designed for stable and unstable first-order processes with time delay in Medarametla and Muthukumarasamy (2018) and Maghade and Patre, (2014) where the parameters of the controller and filter can be derived based on the polynomial approach. In Gao et al (2017), a robust PID controller is proposed for second-order plus dead time (SOPDT) processes based on reference model approximation and the parameters can be calculated by optimizing the upper bound of the approximation error. Simulation results illustrate that the proposed method could balance the tracking and disturbance rejection requirements well.…”

Section: Introductionmentioning

confidence: 99%

The proportional-integral controller design based on a Smith-like predictor for a class of high order systems

Yuan

et al. 2020

Transactions of the Institute of Measurement and Control

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Heat transfer and fluid flow play important roles in industrial processes, especially in chemical and thermal processes. Their dynamics are often modelled as high order systems with the type of [Formula: see text], which have slow responses to the set point and the input disturbance. To enhance the tracking and disturbance rejection performance of these systems, a control structure combining the proportional-integral (PI) controller and Smith-like predictor is proposed in this paper. The tracking and disturbance rejection performance of the proposed control structure with the order mismatch are analyzed. In addition, the precondition where the proposed control structure can obtain satisfactory disturbance rejection performance is deduced. By analyzing the influence of PI parameters on control performance, an empirical tuning rule, which can balance the control performance and robustness constraint well, is summarized and the corresponding tuning toolbox is developed. Finally, the superiority of the proposed control structure is verified by simulations and comparative experiments based on Peltier temperature control platform.

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Graphical tuning method of PID controller for systems with uncertain parameters based on affine algorithm

Chu

2024

Intl J Robust & Nonlinear

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For systems with uncertain parameters, it is very important to find a controller that can satisfy the preset robustness. The traditional method often ignores the influence of parameter coupling on the set boundary system when substituting the original system with the boundary system group, resulting in the calculated controller value region being too conservative. In this article, noise information is introduced based on affine algorithm to describe uncertain system parameters. Then, based on Kharitonov theorem, a new grouping method for boundary systems is proposed. This method takes the parameter coupling information into account when determining the boundary system, and avoids the problem of interval conservation. On this basis, a virtual phase margin tester is introduced to ensure that the obtained controller parameter range can make the system meet the specific robustness requirements. The results obtained in this article are general and strictly proved. Finally, examples are provided to illustrate the design process and verify the feasibility and efficacy of the proposed approach.

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Robust Proportional–Integral–Derivative (PID) Design for Parameter Uncertain Second-Order Plus Time Delay (SOPTD) Processes Based on Reference Model Approximation

Cited by 8 publications

References 32 publications

Disturbance Observer-Based Frequency Regulation for Shipboard Microgrid With Communication Delay

Disturbance Observer-Based Frequency Regulation for Shipboard Microgrid With Communication Delay

The proportional-integral controller design based on a Smith-like predictor for a class of high order systems

Graphical tuning method of PID controller for systems with uncertain parameters based on affine algorithm

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