Optimal control of non-minimum phase integrating processes with time delay using disturbance observer-based control scheme

ABSTRACT A systematical design method of optimal control for non-minimum phase integrating processes with time delay using disturbance observer-based (DOB) control scheme is presented. All stabilising controllers and the filter of DOBs for integrating plants are developed. Then the optimal set-point tracking controller and the optimal filter of DOB are systematically derived by minimising the H2 norm performance specifications. The proposed design method has three main advantages. First, the design procedure is systematical and simple. Specified weight functions are chosen for step inputs and inputs similar to steps. The designed set-point tracking controller and the filter of DOB are given in analytical forms. Second, the designed set-point tracking controller and the filter of the DOB are optimal. They are derived from minimising the performance indexes of set-point tracking and input load disturbance rejection (ILDR). Finally, the set-point tracking performance specification and ILDR specification can be quantitatively achieved by conveniently tuning the adjustable parameters. Numerical simulations are given to illustrate the effectiveness of the proposed method.

[1]  Qibing Jin,et al.  Analytical IMC-PID design in terms of performance/robustness tradeoff for integrating processes: From 2-Dof to 1-Dof , 2014 .

[2]  M. Chidambaram,et al.  Direct synthesis-based controller design for integrating processes with time delay , 2009, J. Frankl. Inst..

[3]  I. Kaya,et al.  Two-degree-of-freedom IMC structure and controller design for integrating processes based on gain and phase-margin specifications , 2004 .

[4]  Biao Huang,et al.  Iteration Tuning of Disturbance Observer-Based Control System Satisfying Robustness Index for FOPTD Processes , 2017, IEEE Transactions on Control Systems Technology.

[5]  Babatunde A. Ogunnaike,et al.  Process Dynamics, Modeling, and Control , 1994 .

[6]  Evanghelos Zafiriou,et al.  Robust process control , 1987 .

[7]  Ramon Vilanova,et al.  PID control in terms of robustness/performance and servo/regulator trade-offs: A unifying approach to balanced autotuning , 2013 .

[8]  Youxian Sun,et al.  Two Degree-of-Freedom Smith Predictor for Processes with Time Delay , 1998, Autom..

[9]  Somanath Majhi,et al.  Enhanced cascade control for a class of integrating processes with time delay. , 2013, ISA transactions.

[10]  Weidong Zhang,et al.  Quantitative Process Control Theory , 2011 .

[11]  Jun Yang,et al.  Disturbance rejection of dead-time processes using disturbance observer and model predictive control , 2011 .

[12]  Tiedong Ma,et al.  Coordination of fractional-order nonlinear multi-agent systems via distributed impulsive control , 2018, Int. J. Syst. Sci..

[13]  Ramon Vilanova,et al.  On the model matching approach to PID design: Analytical perspective for robust Servo/Regulator tradeoff tuning , 2010 .

[14]  Kouhei Ohnishi,et al.  Microprocessor-Controlled DC Motor for Load-Insensitive Position Servo System , 1985, IEEE Transactions on Industrial Electronics.

[15]  Jun Yang,et al.  Disturbance rejection of ball mill grinding circuits using DOB and MPC , 2010 .

[16]  Xing Fang,et al.  Novel disturbance-observer-based control for systems with high-order mismatched disturbances , 2018, Int. J. Syst. Sci..

[17]  Chanchal Dey,et al.  A simple nonlinear PD controller for integrating processes. , 2014, ISA transactions.

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

[19]  Moonyong Lee,et al.  Analytical design of enhanced PID filter controller for integrating and first order unstable processes with time delay , 2008 .

[20]  Rames C. Panda,et al.  Synthesis of PID controller for unstable and integrating processes , 2009 .

[21]  Tao Liu,et al.  Enhanced IMC design of load disturbance rejection for integrating and unstable processes with slow dynamics. , 2011, ISA transactions.

[22]  Alfonso Baños,et al.  Reset control of integrating plus dead time processes , 2016 .

[23]  Julio E. Normey-Rico,et al.  Control of integral processes with dead-time. Part 1: Disturbance observer-based 2DOF control scheme , 2002 .

[24]  M. Shamsuzzoha,et al.  Closed-Loop PI/PID Controller Tuning for Stable and Integrating Process with Time Delay , 2013 .

[25]  Shihua Li,et al.  Disturbance observer based multi-variable control of ball mill grinding circuits , 2009 .

[26]  Jose Alvarez-Ramirez,et al.  Optimality of internal model control tuning rules , 2004 .

[27]  Lei Guo,et al.  Disturbance-Observer-Based Control and Related Methods—An Overview , 2016, IEEE Transactions on Industrial Electronics.

[28]  R. Padma Sree,et al.  Tuning of IMC based PID controllers for integrating systems with time delay. , 2016, ISA transactions.

[29]  Ahmad Ali,et al.  Modified parallel cascade control strategy for stable, unstable and integrating processes. , 2016, ISA transactions.

[30]  Jianbo Su,et al.  Disturbance rejection control for non-minimum phase systems with optimal disturbance observer. , 2015, ISA transactions.

[31]  Somanath Majhi,et al.  PID controller tuning for integrating processes. , 2010, ISA transactions.

[32]  Ramon Vilanova,et al.  Robust Tuning and Performance Analysis of 2DoF PI Controllers for Integrating Controlled Processes , 2012 .

[33]  Tao Liu,et al.  Discrete-time domain two-degree-of-freedom control design for integrating and unstable processes with time delay. , 2016, ISA transactions.

[34]  Ahmad Ali,et al.  Simple Tuning Rules for Integrating Processes with Large Time Delay , 2015 .

[36]  Thomas F. Edgar,et al.  Process Dynamics and Control , 1989 .