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Robust Multi-loop PI Controller Design for Multivariable Processes
Truong Nguyen Luan Vu,Moonyong Lee 제어로봇시스템학회 2009 제어로봇시스템학회 국내학술대회 논문집 Vol.2009 No.9
The robust design of a multi-loop proportional-integral (PI) controller is proposed in this paper. The proposed design method is aimed at achieving the desired closed-loop response for multiple-input, multipleoutput (MIMO) processes with multiple time delays. The analytical tuning rules of the multi-loop PI controller are firstly derived from the basis of the direct synthesis and generalized IMC-PID approach, the structured singular value synthesis is then utilized for the tradeoffs between the robust stability and performance by adjusting only one design parameter (i.e., closed-loop time constant). To verify the superiority of the proposed method, the simulation studies have been conducted on a wide variety of multivariable processes. The multiloop PI controller designed by the proposed method shows a fast, well-balanced and robust response with the minimum integral absolute error (IAE) in compared with other well-known methods.
Analytical Design of Multi-Loop PI Controllers for Interactive Multivariable Processes
Vu, Truong Nguyen Luan,Lee, Moonyong The Society of Chemical Engineers, Japan 2010 Journal of chemical engineering of Japan Vol.43 No.2
<P>In this paper, a simple and efficient design method of multi-loop PI controllers is proposed by extending the Maclaurin series approach to a multi-loop control system. The controller parameter of a multi-loop system is related to that of a SISO non-interacting system with an interaction factor in the simple multiplication form. Based on this relation, analytical tuning rules for a multi-loop PI controller are derived for several representative process models. In order to improve both performance and robustness of the multi-loop control system, the multi-loop Ms criterion is utilized as a performance cost function. The simulation studies confirm the effectiveness of the proposed method.</P>
Design of Multi-loop PID Controllers Based on the Generalized IMC-PID Method with Mp Criterion
Truong Nguyen Luan Vu,Jietae Lee,Moonyong Lee 대한전기학회 2007 International Journal of Control, Automation, and Vol.5 No.2
A new method of designing multi-loop PID controllers is presented in this paper. By using the generalized IMC-PID method for multi-loop systems, the optimization problem involved in finding the PID parameters is efficiently simplified to find the optimum closed-loop time constant in a reduced search space. A weighted sum Mp criterion is proposed as a performance cost function to cope with both the performance and robustness of a multi-loop control system. Several illustrative examples are included to demonstrate the improved performance of the multi-loop PID controllers obtained by the proposed design method.
Nguyen Luan Vu Truong,Hieu Giang Le,Thien Ngon Dang,Linh Le,Tat Linh Doan,Truong Thinh Nguyen,Moonyong Lee 제어로봇시스템학회 2013 제어로봇시스템학회 국제학술대회 논문집 Vol.2013 No.10
A unified method for the fractional-order proportional-integral controller based on IMC scheme (IMC-FOPI) is proposed. The analytical tuning rules are derived for achieving the performance improvement in terms of both disturbance rejection and set-point tracking. Many illustrative examples are considered to confirm the effectiveness of the proposed algorithm for both integer and fractional-order processes with time delays. In addition, the robust stability of fractional-order systems are also carried out in order to demonstrate that the proposed controller can hold well the robustness against perturbation uncertainty in the process models.
Smith predictor based fractional-order PI control for time-delay processes
Truong Nguyen Luan Vu,이문용 한국화학공학회 2014 Korean Journal of Chemical Engineering Vol.31 No.8
A new fractional-order proportional-integral controller embedded in a Smith predictor is systematicallyproposed based on fractional calculus and Bode’s ideal transfer function. The analytical tuning rules are first derivedby using the frequency domain for a first-order-plus-dead-time process model, and then are easily applied to variousdynamics, including both the integer-order and fractional-order dynamic processes. The proposed method consistentlyaffords superior closed-loop performance for both servo and regulatory problems, since the design scheme issimple, straightforward, and can be easily implemented in the process industry. A variety of examples are employedto illustrate the simplicity, flexibility, and effectiveness of the proposed SP-FOPI controller in comparison with otherreported controllers in terms of minimum the integral absolute error with a constraint on the maximum sensitivity value.
Truong Nguyen Luan Vu,Moonyong Lee 제어로봇시스템학회 2010 제어로봇시스템학회 국내학술대회 논문집 Vol.2010 No.5
An analytical design for a proportional-integral-derivative (PID) controller in series with a second-order lead/lag filter is proposed for a broad class of first-order processes with time delay. In the proposed method, the renowned internal model control (IMC) design approach is systematically considered to derive the tuning rules, which are afforded the superior control performance for both the disturbance rejection and set-point tracking. In the simulation study, the proposed controller is fairly compared with recently published PID-type controllers to demonstrate its superiority and effectiveness, since all controllers are tuned to have the same degree of robustness by measuring the maximum peak of sensitivity function. Furthermore, the proposed controller also shows better robustness performance than the other comparative methods in terms of the worst-case model mismatch.
Design of Extended Simplified Decoupling for Multivariable Processes with Multiple Time Delays
Truong Nguyen Luan Vu,Moonyong Lee 제어로봇시스템학회 2011 제어로봇시스템학회 국제학술대회 논문집 Vol.2011 No.10
In this paper, a simplified decoupling method is proposed for multivariable processes by introducing coefficient matching to obtain a stable, proper, and causal simplified decoupler. Accordingly, transfer functions of decoupled apparent processes can be expressed as a set of n equivalent independent processes and then derived as a ratio of the original open-loop transfer function to the diagonal element of the dynamic relative gain array. The proportional-integral/ proportional-integral derivative (PI/PID) controller is then directly employed to enhance the overall performance of the decoupling control system while avoiding difficulties arising from properties inherent to simplified decoupling. Some simulation studies are considered to demonstrate the simplicity and effectiveness of the proposed method.
Analytical Tuning Rules for Fractional Order Proportional Integral Controllers
Truong Nguyen Luan Vu,Moonyong Lee 제어로봇시스템학회 2011 제어로봇시스템학회 국제학술대회 논문집 Vol.2011 No.10
A new analytical method based on the fractional calculus and Bode’s ideal transfer function is proposed for the design of fractional-order proportional-integral (FOPI) controllers. On the basis of a first-order-plus-dead-time (FOPDT) process model, the analytical tuning rules are derived by using the frequency domain for achieving the significant improvement in terms of both disturbance rejection and set-point tracking problems. Several illustrative examples are considered to confirm the effectiveness of the proposed algorithm for various dynamic models.
Analytical Design of Robust Multi-loop PI Controller for Multivariable Processes
Truong Nguyen Luan Vu,Seungtaek Hong,Moonyong Lee 제어로봇시스템학회 2009 제어로봇시스템학회 국제학술대회 논문집 Vol.2009 No.8
In this paper, the robust design of the multi-loop PI controller for multivariable processes in the presence of the multiplicative input uncertainty is proposed. The paper deals with two major steps: as a first step, the analytical tuning rules of the multi-loop PI controller are derived from the basis of the generalized IMC-PID approach. Then, in the second step, the robust analysis is utilized for enhancing the robustness of the proposed PI control system. The most important feature of the proposed method is that the tradeoffs between the robust stability and performance can be established by adjusting only one design parameter (i.e., closed-loop time constant) via the structured singular value synthesis. To verify the superiority of the proposed method, two illustrative examples taken from previous works are included. The simulation results demonstrate that the proposed method provides the superior performance over several well-known methods in both nominal and robust cases.