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Open AccessArticle

A Novel Design of Fractional PI/PID Controllers for Two-Input-Two-Output Processes

1
Faculty of Mechanical Engineering, Ho Chi Minh City University of Technology and Education, No 1 Vo Van Ngan Street, Thu Duc District, Ho Chi Minh City, Vietnam
2
School of Chemical Engineering, Yeungnam University, 280 Daehak-Ro, Gyeongsan 38541, Korea
*
Authors to whom correspondence should be addressed.
These two authors are equally contributed in this work.
Appl. Sci. 2019, 9(23), 5262; https://doi.org/10.3390/app9235262
Received: 8 November 2019 / Revised: 25 November 2019 / Accepted: 28 November 2019 / Published: 3 December 2019
(This article belongs to the Section Mechanical Engineering)
In this paper, a new formulation of fractional order proportional integral (PI)/ proportional integral derivative (PID) controller is proposed. The proposed controller will be justified for some well-known two-input-two-output (TITO) processes. In order to deal with interactions between process variables in a multivariable system, as well as multiple delay times in process transfer functions, the simplified decoupling Smith predictor (SDSP) structure is also used. The issue of decoupling realizability is solved by the PSO algorithm and fractional order processes are also suggested for model reduction. The tuning rules of the controller are derived in analytical terms based on the internal model control (IMC) structure. The effectiveness and robust stability of the proposed approach are illustrated by comparing it with other methods. To have a fair comparison, the robustness criterion using the M-Δ structure with μ-synthesis is adopted and the μ value of the proposed method is always kept smaller than the value of the others. View Full-Text
Keywords: fractional order processes; fractional order PID controllers; simplified decoupling; PSO algorithm; Smith predictor; IMC-PID controller; TITO processes fractional order processes; fractional order PID controllers; simplified decoupling; PSO algorithm; Smith predictor; IMC-PID controller; TITO processes
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MDPI and ACS Style

Chuong, V.L.; Vu, T.N.L.; Truong, N.T.N.; Jung, J.H. A Novel Design of Fractional PI/PID Controllers for Two-Input-Two-Output Processes. Appl. Sci. 2019, 9, 5262.

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