ISSN: 2375-3943
American Journal of Computation, Communication and Control  
Manuscript Information
 
 
Dynamic Set-Point Weighting of 2DOF/PID via Super Twisting Sliding Modes
American Journal of Computation, Communication and Control
Vol.5 , No. 1, Publication Date: Jan. 11, 2018, Page: 7-15
938 Views Since January 11, 2018, 537 Downloads Since Jan. 11, 2018
 
 
Authors
 
[1]    

Ricardo Julián Mantz, Institute of Research in Electronics, Control and Signal Processing, Faculty of Engineering, National University of La Plata, La Plata, Argentine.

 
Abstract
 

The work deals with the set-point weighting of PID controllers with two degrees of freedom (2DOF/PI_D). A dynamic weighting method is proposed to overcome the limitations that these controllers usually present in complex and/or non-linear processes. Unlike the conventional procedure in which the set-point weight of the integral action is set to 1, in this work that weight is dynamically adjusted. The proposal complements ideas of high order sliding mode control (HOSM) with concepts of immersion of systems and manifold invariance (I&I). This allows achieving the target dynamics in finite time and, potentially, allows preserving the anti-reset-windup properties that 2DOF/PID controllers present in linear systems. The main features of the proposal are validated through an example.


Keywords
 

PID Controllers, High Order Sliding Mode, Dynamic Set-Point Weighting, Super Twisting


Reference
 
[01]    

Araki M., Taguchi H.. Two-Degree-of-Freedom PID Controllers. Int. J. of Control, Automation, and Systems. 2003. 1, 401-411.

[02]    

Åström, K., Hagglund, T. Advanced PID control. ISA. Research Triangle Park, USA. 2006.

[03]    

Vilanova R., Visioli A.. PID Control in the Third Millennium: Lessons Learned and New Approaches (Advances in Industrial Control) 2012th Edition. Springer-Verlag London Limited. 2012.

[04]    

Guzmán J., Åström K., Dormido S., Hägglund T., Berenguel M., Piguet Y.. “Interactive Learning Modules for PID Control: Using interactive graphics to learn PID control and develop intuition”, IEEE Control Systems Magazine. 2008, 28, 118-134.

[05]    

O’Dwyer, A.. Handbook of PI and PID controller tuning rules. 3rd Edition. Imperial College Press. London, UK. 2009.

[06]    

Hast, M., Hägglund T.. Optimal proportional–integral–derivative set-point weighting and tuning rules for proportional set-point weights. IET Control Theory & Applications. 2015, 9, 2266-2272.

[07]    

Dey, C., Mudi, R., Lee, T.. A PID controller with dynamic set-point weighting. In Proc. of the IEEE Int. Conf. on Industrial Technology, ICIT 2006. 18-21 December. 1071–1076. Bhubaneswar, India.

[08]    

Vilanova R., Alfaro V. M., Arrieta O.. Simple robust autotuning rules for 2-DoF PI controllers. ISA Transactions. 2012, 51, 30-41.

[09]    

Mantz R.. “A PI controller with dynamic set-point weighting for nonlinear processes”. IFAC Conference on Advances in PID Control. PID´12. 2012. Brescia, Italy.

[10]    

Åström, K., Johansson, K., Wang, Q.. Design of decoupled PID controllers for two-by-two systems. IEE Proc. on Control Theory and Applications. 2002, 49, 74-81.

[11]    

Bianchi, F., Mantz, R., Christiansen, C.. Multivariable PID control with set-point weighting via BMI optimisation. Automatica. 2008. 44, 472-478.

[12]    

Mudi R. K., Dey Ch.. Performance Improvement of PI Controllers through Dynamic Set-point Weighting. ISA Transactions. 2011. 50, 220-230.

[13]    

O’Dwyer, A.. An Overview of Tuning Rules for the PI and PID Continuous-Time Control of Time-Delayed Single-Input, Single-Output (SISO) Processes. Chapter 1 in book PID Control in the Third Millennium Lessons Learned and New Approaches. Editors: Vilanova R. and Visioli A.. Springer-Verlag London Limited. 2012.

[14]    

L. Fridman and A. Levant, “Higher order sliding modes as a natural phenomenon in control theory,” in Robust Control via Variable Structure and Lyapunov Techniques, vol. 217. London, U.K.: Springer-Verlag, 1996, ch. 1, pp. 107-133.

[15]    

Shtessel Y., Edwards C., Fridman L., Levant A. Sliding Mode Control and Observation. Birkhauser. London. UK. 2014.

[16]    

Astolfi A., Ortega R.. Immersion and invariance: a new tool for stabilization and adaptive control of nonlinear systems. IEEE Trans. on Automatic Control. 2003, 4, 590-606.

[17]    

Astolfi, A., Karagiannis, D., Ortega, R. Nonlinear and Adaptive Control with Applications. Springer-Verlag. London. UK. 2008.

[18]    

Shtessel Y., Moreno J., Plestan F., Fridman L., Poznyak A. “Super-twisting Adaptive Sliding Mode Control: a Lyapunov Design”. 49th IEEE Conference on Decision and Control. Atlanta, USA, 2010. 5109-5113.

[19]    

Isidori, A.. Nonlinear Control Systems II. Springer-Verlag London Limited, UK. 1999.

[20]    

Utkin V., Guldner J., Shi. J.. Sliding Mode Control in Electromechanical Systems. Taylor and Francis. London. 1999.

[21]    

Puleston P., Mantz R. J. Proportional plus Integral MIMO Controller for Regulation and Tracking with Anti- Wind-Up Features. Ind. Eng. Chem. Res. 1993, 32, 2647-2652.





 
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