Implementation Analysis of State Space Modelling and Control of Nonlinear Process Using PID Algorithm in MATLAB and PROTEUS Environment

Abstract:

Article Preview

The scope of this paper is to look beyond linear solutions and discuss briefly about the recent developments in nonlinear system control & controller tuning methods. An adaptive cruise control model is taken as case study to illustrate the practicality of implementation in the simulation environment in terms of modelling and control of non-linear process. Effort is made to analyse the nonlinear system control in MATLAB and PROTEUS environment.

Info:

Periodical:

Edited by:

S. Selvaperumal, R. Nagarajan and Nedumal Pugazhenthi

Pages:

297-303

Citation:

G. Prabhakar et al., "Implementation Analysis of State Space Modelling and Control of Nonlinear Process Using PID Algorithm in MATLAB and PROTEUS Environment", Applied Mechanics and Materials, Vol. 573, pp. 297-303, 2014

Online since:

June 2014

Export:

Price:

$38.00

* - Corresponding Author

[1] Isidori, A. (1995), Nonlinear Control System (3rd edition), Springer.

[2] Kokotović; P. Khalil, H. & O'Reilly, J. (1986), Singular Perturbation Methods in Control Analysis and Design, Academic Press Inc.

[3] Sontag, E. (1990), Further facts about input to state stabilization, IEEE Transactions on Automatic Control, Vol. 35, p.473–476.

DOI: https://doi.org/10.1109/9.52307

[4] Sontag, E. (2005), Input to state stability Basic concepts and results, Springer Lecture Notes in Mathematics, Springer.

[5] Sepulchre, R., Janković, M. & Kokotović, P. (1997). Constructive Nonlinear Control, Springer, p.979–984.

[6] Sepulchre, R.; Janković M. & Kokotović, P. (1997), Integrator forwarding a new recursive nonlinear robust design, Automatica, Vol. 393, p.979–984.

DOI: https://doi.org/10.1016/s0005-1098(96)00249-x

[7] Mazenc, F. & Praly, L. (1996), Adding integrations, saturated controls, and stabilization for feed-forward systems, IEEE Transactions on Automatic Control, Vol. 41, p.1559–1577.

DOI: https://doi.org/10.1109/9.543995

[8] Krstić M., Kanellakopoulos, L. & Kokotović, P. (1995). Nonlinear and Adaptive Control Design, John Wiley & Sons.

[9] Utkin, V. (1992), Sliding modes in control optimization, Springer-Verlag.

[10] Devasia, D.; Chen, D. & Paden, B. (1996), Nonlinear inversion based output tracking, IEEE Transactions on Automatic Control, Vol. 41, p.930–942.

DOI: https://doi.org/10.1109/9.508898

[11] Benchmark, Guangyu Liu and Yanxin Zhang, On Nonlinear Control Perspectives of a Challenging, the University of Auckland New Zealand.

[12] Ruiyao Gao, Aidan O'Dwyer, Eugene Coyle, A non-linear PID controller for CSTR using local model networks, Proceedings of the IEEE 4th World Congress on Intelligent Control and Automation (WCICA 2002), Shanghai, China, 10-14 June.

DOI: https://doi.org/10.1109/wcica.2002.1020140

[13] Johansen T.A. and Foss B.A., A NARMAX model representation for adaptive control based on local models, Modelling, Identification, and Control, Vol. 13, No. 1, 1992, pp.25-39.

DOI: https://doi.org/10.4173/mic.1992.1.3

[14] Johansen, T. A and Foss B.A., Constructing NARMAX models using ARMAX models, International Journal of Control, Vol. 58, 1993, pp.1125-1153.

DOI: https://doi.org/10.1080/00207179308923046

[15] Murray-Smith R, Local Model networks and local learning", in Fuzzy Duisburg, 94, pp. pp.404-409, Feb. (1994).

[16] Murray-Smith R. and Johansen T. A., Multiple Model approaches to Modelling and Control, Taylor and Francis, (1997).

[17] Astrom, K. J., & Hagglund, T. (1984), Automatic tuning of simple regulators with specifications on phase and amplitude margins, Automatica, 20(5), 645–651.

DOI: https://doi.org/10.1016/0005-1098(84)90014-1

[18] Astrom, K. J., & Hagglund, H. (1995), PID controllers: Theory, design and tuning (2nd ed. ), Research Triangle Park, NC: Instrument Society of America.

[19] Astrom, K. J., Hang, C. C., Persson, P., & Ho, W. K. (1992). Towards intelligent PID control, Automatica 28(1), 1–9.

DOI: https://doi.org/10.1016/0005-1098(92)90002-w

[20] Aidan O' Dwyer, A summary of PI and PID controller tuning rules for processes with time delay. Part 1: PI controller tuning rules", Proceedings of PID , 00: IFAC Workshop on Digital Control, pp.175-180, Terrassa, Spain, April 4-7, (2000).

DOI: https://doi.org/10.1016/s1474-6670(17)38246-0

[21] Aidan O' Dwyer, A summary of PI and PID controller tuning rules for processes with time delay. Part 2: PID controller tuning rules", Proceedings of PID , 00: IFAC Workshop on Digital Control, pp.242-247, Terrassa, Spain, April 4-7, (2000).

DOI: https://doi.org/10.1016/s1474-6670(17)38246-0

[22] Selvaperumal, S., Rajan, C. C. A., Muralidharan, S., Stability and Performance Investigation of a Fuzzy-Controlled LCL Resonant Converter in an RTOS Environment, IEEE Transactions on Power Electronics covers Fundamental Technologies used in the Control and Conversion of Electric power, Volume. 28 ,  Issue. 4, April (2013).

DOI: https://doi.org/10.1109/tpel.2012.2214236

[23] Kiyong Kim, Member, IEEE, and Richard C. Schaefer, Tuning a PID Controller for a Digital Excitation Control System, IEEE Transactions on Industry Applications, Vol. 41, No. 2, March/April (2005).

DOI: https://doi.org/10.1109/ias.2009.5324819

[24] Arturo Y. Jaen-Cuellar, Rene de J. Romero-Troncoso, Luis Morales-Velazquez and Roque A. Osornio-Rios, PID-Controller Tuning Optimization with Genetic Algorithms in Servo Systems, International Journal of Advanced Robotic Systems, 2013, Vol. 10, 324: (2013).

DOI: https://doi.org/10.5772/56697

[25] Farhan A. Salem, Albaradi A. Rashed, PID Controllers and Algorithms: Selection and Design Techniques Applied in Mechatronics Systems Design - Part II, International Journal of Engineering Sciences, 2(5) May 2013, Pages: 191-203.

[26] Farhan A. Salem, PhD, New Efficient Model-Based PID Design Method, European Scientific Journal May 2013 edition vol. 9, No. 15 ISSN: 1857 – 7881 (Print) e - ISSN 1857- 7431.