SavedAdd your journal

Journals / Eskişehir Technical University Journal of Science and Technology A - Applied Sciences and Engineering / 2017 / Cilt: 18 - Sayı: 4

DESIGN, ANALYSIS AND EXPERIMENTAL VERIFICATION OF A NOVEL NONLINEAR PI CONTROLLER

Ali Fuat ERGENC
Handan NAK
Şirin AKKAYA
Pages
876–896
Publication Date
2017-10-31
DOI
—
🏛️Bibliographic metadata and full text access for this article are provided via DergiPark.
DergiPark Record ↗
✨

AI Summary & Key Takeaways

AI Insight
⚡ TL;DR(Too Long; Didn't Read)

Simulation results and experimental studies reveal that proposed controller structure is quite effective for both lower and higher order systems.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:In this study, a novel variable gain PI controller structure is introduced.
📊
Key Findings & Data:In addition, the performance of the controller against parameter variations and disturbances is investigated through some simulations for second order systems.
💡
Conclusion & Impact:Simulation results and experimental studies reveal that proposed controller structure is quite effective for both lower and higher order systems.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:: Nonlinear PI · Variable gain · Popov criterion

Abstract

In this study, a novel variable gain PI controller structure is introduced. The proposed controller structure consists of a sector-bounded nonlinear function of the relative error value in cascade with a linear fixed-gain PI controller. The stability analysis of the closed loop system is examined through Popov stability criterion, Routh-Hurwitz stability method and stability boundary locus method for both second-order and higher-order systems. In addition, the performance of the controller against parameter variations and disturbances is investigated through some simulations for second order systems. An experimental study, an active suspension system, is conducted to examine the performance of the controller for higher order systems. In the literature, there are similar controllers, but the proposed one is superb in terms of effectiveness and stability. The new controller prevents the saturation of the controller signal. Simulation results and experimental studies reveal that proposed controller structure is quite effective for both lower and higher order systems.

🔖

Cite This Article

ERGENC, A. F., NAK, H., AKKAYA, Ş. (2017). DESIGN, ANALYSIS AND EXPERIMENTAL VERIFICATION OF A NOVEL NONLINEAR PI CONTROLLER. Eskişehir Technical University Journal of Science and Technology A - Applied Sciences and Engineering, Cilt: 18 - Sayı: 4, 876–896. https://ajindex.com/articles/196702

📄 Full Text PDF Viewer

📄

PDF görüntüleyici hazırlanıyor...

References (13)

  1. Ang K, Chong G, Li Y. PID control system analysis, design, and technology, IEEE Trans. Control Syst. Technol., vol. 13, no. 4, pp. 559–576, Jul. 2005
  2. Lau K, Middleton R. Switched integrator control schemes for integrating plants, in Proc. Eur. Control Conf., 2003
  3. Hunnekens B G B, Heertjes M, van de Wouw N, Nijmeijer H. Performance optimization of piecewise affine variable-gain controllers for linear motion systems, Mechatronics, vol. 24, no. 6, pp. 648–660, Sep. 2014
  4. Armstrong B, Neevel D, Kusik T. New results in NPID control: Tracking, integral control, friction compensation and experimental results, IEEE Trans. Contr. Syst. Technol., vol. 9, pp. 399–406, Mar. 2001
  5. Hunnekens B G B, Heertjes M, van de Wouw N, Nijmeijer H. Synthesis of variable gain integral controllers for linear motion systems, IEEE Trans. on Contr. Syst. Technology, 23(1), pp. 139-149, 2015
  6. Armstrong B., McPherson J., and Li Y. Stability of nonlinear PD control, Appl. Math. Comput. Sci., vol. 7, no. 2, pp. 101–120, 1997
  7. Armstrong B., Neevel D., and Kusik T. New results in NPID control: Tracking, integral control, friction compensation and experimental results, in Proc. 1999 Int. Conf. Robot. Automat., 1999, pp. 837–842
  8. Armstrong B. and Wade B. Nonlinear PID control with partial state knowledge: Damping without derivatives, Int. J. Robot. Res., vol. 18, no. 8, pp. 715–731, 2000
  9. Armstrong B, Neevel D, Kusik T. New results in NPID control: Tracking, integral control, friction compensation and experimental results, IEEE Trans. Control Syst. Technol., vol. 9, no. 2, pp. 399–406, Mar. 2001
  10. Heertjes M, Schuurbiers X, Nijmeijer H. Performance-improved design of N-PID controlled motion systems with application to wafer stages, IEEE Trans. Ind. Electron., vol. 56, no. 5, pp. 1347–1355, May 2009
  11. Wouw N, Pastink H, Heertjes M, Pavlov A, Nijmeijer H. Performance of convergence-based variable-gain control of optical storage drives, Automatica, vol. 44, no. 1, pp. 15–27, 2008
  12. Sun D, Hu S, Shao X, Liu C. Global stability of a saturated nonlinear PID controller for robot manipulators, IEEE Trans. Ind. Electron., vol. 17, no. 4, pp. 892–899, Jul. 2009
  13. Salim S N S, Rahmat M F, Faudzi A A, Athif M, Ismail Z H, Sunar N. Position Control of Pneumatic Actuator Using Self-Regulation Nonlinear PID, Mathematical Problems in Engineering, vol. 2014, p. 12, 2014 [14] Seraji H. A new class of nonlinear PID controllers with robotic applications, J. Ro