Modified Cascade Controller Design for Unstable Processes With Large Dead Time

In this article, a simple controller design with the fractional order calculations applies to unstable cascade processes with a significant time delay. Series cascade control system consists of two loops in which the inner loop is designed using the IMC principle based on the synthesis method. The primary controller is designed with the FOPI-FOPD controller to ensure stable and satisfactory closed-loop performances for the unstable processes. For the primary controller, five tuning parameters are involved, which tuned using the centroid of the convex stability region method. Different examples are given to illustrate the superiority of the proposed design over some existing designs. Results obtained from simulation reveals that with the proposed control design, enhanced closed-loop control performances are obtained for nominal and perturbed conditions.

[1]  Julio E. Normey-Rico,et al.  Smith Predictor-Based Control Schemes for Dead-Time Unstable Cascade Processes , 2010 .

[2]  Saurabh Srivastava,et al.  A PI/PID controller for time delay systems with desired closed loop time response and guaranteed gain and phase margins , 2016 .

[3]  Vineet Kumar,et al.  Robust speed control of hybrid electric vehicle using fractional order fuzzy PD and PI controllers in cascade control loop , 2016, J. Frankl. Inst..

[4]  Moonyong Lee,et al.  Enhanced disturbance rejection for open-loop unstable process with time delay. , 2009, ISA transactions.

[5]  Min Zheng,et al.  A New Design Method for PI-PD Control of Unstable Fractional-Order System with Time Delay , 2019, Complex..

[6]  Jorge Otávio Trierweiler,et al.  Tuning of Fractional Order PID Controllers based on the Frequency Response Approximation Method , 2019 .

[7]  M. Chidambaram,et al.  Enhanced relay autotuning of unstable series cascade systems , 2019 .

[8]  A. Seshagiri Rao,et al.  A comparative study of fractional order PIλ/PIλDμ tuning rules for stable first order plus time delay processes , 2016, Resource-Efficient Technologies.

[9]  Vicente Feliu-Batlle,et al.  Simple fractional order controller combined with a Smith predictor for temperature control in a steel slab reheating furnace , 2013 .

[10]  Y. Chen,et al.  Tuning fractional order proportional integral controllers for fractional order systems , 2009, 2009 Chinese Control and Decision Conference.

[11]  A Seshagiri Rao,et al.  Predictive control of unstable time delay series cascade processes with measurement noise. , 2020, ISA transactions.

[12]  Nusret Tan,et al.  Computation of stabilizing PI-PD controllers , 2009 .

[13]  I. Podlubny.  Fractional-order systems and PIλDμ-controllers , 1999, IEEE Trans. Autom. Control..

[14]  A. Seshagiri Rao,et al.  Improved PID controller design for unstable time delay processes based on direct synthesis method and maximum sensitivity , 2015, Int. J. Syst. Sci..

[15]  I Kaya,et al.  Improving performance using cascade control and a Smith predictor. , 2001, ISA transactions.

[16]  Ibrahim Kaya,et al.  PI-PD controllers for controlling stable processes with inverse response and dead time , 2016 .

[17]  Ch Anil,et al.  Tuning of PID controllers for integrating systems using direct synthesis method. , 2015, ISA transactions.

[18]  I. Podlubny.  Fractional differential equations : an introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications , 1999 .

[19]  Ramón Vilanova,et al.  Two-Degree-of-Freedom PI/PID tuning approach for smooth control on cascade control systems , 2008, 2008 47th IEEE Conference on Decision and Control.

[20]  Hongbo Zou,et al.  Improved PI-PD control design using predictive functional optimization for temperature model of a fluidized catalytic cracking unit. , 2017, ISA transactions.

[21]  Zafer Bingul.  A New PID Tuning Technique Using Differential Evolution for Unstable and Integrating Processes with Time Delay , 2004, ICONIP.

[22]  Zou Hong-bo,et al.  Dynamic matrix control optimization based new PIPD type control for outlet temperature in a coke furnace , 2015, 2015 34th Chinese Control Conference (CCC).

[23]  Abhishek Dutta,et al.  Tuning algorithms for fractional order internal model controllers for time delay processes , 2016, Int. J. Control.

[24]  Robin De Keyser,et al.  A novel auto-tuning method for fractional order PI/PD controllers. , 2016, ISA transactions.

[25]  M. M. Ozyetkin,et al.  A simple tuning method of fractional order PIλ-PDμ controllers for time delay systems. , 2018, ISA transactions.

[26]  Peyman Bagheri,et al.  Parallel cascade control of dead time processes via fractional order controllers based on Smith predictor. , 2020, ISA transactions.

[27]  Xueheng Hu,et al.  Fractional-order internal model control algorithm based on the force/position control structure of redundant actuation parallel robot , 2020 .

[28]  Emil M. Petriu,et al.  Grey Wolf Optimizer-Based Approaches to Path Planning and Fuzzy Logic-based Tracking Control for Mobile Robots , 2020, Int. J. Comput. Commun. Control.

[29]  William L. Luyben,et al.  Identification and Tuning of Integrating Processes with Deadtime and Inverse Response , 2003 .

[30]  Biprajeet Kar,et al.  A Comparative Study Between Cascaded FOPI–FOPD and IOPI–IOPD Controllers Applied to a Level Control Problem in a Coupled Tank System , 2018 .

[31]  Nusret Tan,et al.  PI‐PD controller design for time delay systems via the weighted geometrical center method , 2019, Asian Journal of Control.

[32]  Zhongsheng Hou,et al.  On Model-Free Adaptive Control and Its Stability Analysis , 2019, IEEE Transactions on Automatic Control.

[33]  N. Sivakumaran,et al.  IMC based Fractional order PID controller , 2011, 2011 IEEE International Conference on Industrial Technology.

[34]  Jian Zhong Shi,et al.  A Fractional Order General Type-2 Fuzzy PID Controller Design Algorithm , 2020, IEEE Access.

[35]  Ahmad Ali,et al.  Series cascade control: An outline survey , 2017, 2017 Indian Control Conference (ICC).

[36]  Hsiao-Ping Huang,et al.  A SIMPLE METHOD FOR TUNING CASCADE CONTROL SYSTEMS , 1998 .

[37]  Somanath Majhi,et al.  Modified Smith predictor based cascade control of unstable time delay processes. , 2012, ISA transactions.

[38]  Vicente Feliu-Batlle,et al.  Time Domain Tuning of Fractional Order Controllers Combined With a Smith Predictor for Automation of Water Distribution in Irrigation Main Channel Pools , 2013 .

[39]  Ioan Nascu,et al.  A Survey of Recent Advances in Fractional Order Control for Time Delay Systems , 2019, IEEE Access.

[40]  J. E. Normey-Rico,et al.  Simple Tuning Rules for Dead-Time Compensation of Stable, Integrative, and Unstable First-Order Dead-Time Processes , 2013 .

[41]  Ramon Vilanova,et al.  Robust tuning of Two-Degree-of-Freedom (2-DoF) PI/PID based cascade control systems , 2009 .

[42]  Ahmad Ali,et al.  Smith predictor based parallel cascade control strategy for unstable and integrating processes with large time delay , 2017 .

[43]  Ibrahim Kaya,et al.  PID Controller Design Based on Generalized Stability Boundary Locus to Control Unstable Processes with Dead Time , 2018, 2018 26th Mediterranean Conference on Control and Automation (MED).

[44]  Qun Sun,et al.  Improved Cascade Control System for a Class of Unstable Processes with Time Delay , 2019, International Journal of Control, Automation and Systems.

[45]  Sunwon Park,et al.  Enhanced Control with a General Cascade Control Structure , 2002 .

[46]  Yangquan Chen,et al.  Fractional order [proportional derivative] controller for a class of fractional order systems , 2009, Autom..

[47]  Zafer Bingul,et al.  Comparison of PID and FOPID controllers tuned by PSO and ABC algorithms for unstable and integrating systems with time delay , 2018 .

[48]  Rachid Mansouri,et al.  Fractional IMC-PID-filter controllers design for non integer order systems , 2014 .

[49]  M. Chidambaram,et al.  Enhanced Control of Unstable Cascade Processes with Time Delays Using a Modified Smith Predictor , 2009 .

[50]  Ibrahim Kaya.  Simple and optimal PI/PID tuning formulae for unstable time delay processes , 2017, 2017 10th International Conference on Electrical and Electronics Engineering (ELECO).

[51]  Rachid Mansouri,et al.  Smith Predictor Based Fractional‐Order‐Filter PID Controllers Design for Long Time Delay Systems , 2017 .

[52]  Radek Matušů,et al.  Tuning of PIλ Controllers for FOPTD Plants via the Stability Boundary Locus , 2018, 2018 International Conference on Artificial Intelligence and Data Processing (IDAP).

[53]  Tan,et al.  Simultaneous online automatic tuning of cascade control for open loop stable processes , 2000, ISA transactions.

[54]  ChangKyoo Yoo,et al.  Enhanced design of cascade control systems for unstable processes with time delay , 2016 .