Balancing control of sliding inverted-wedge system

Classical-method-based compensation

Shinq Jen Wu, Cheng Tao Wu, Yung Yi Chiou, Chin Teng Lin, Yi-Nung Chung

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

Root-locus-based PID controller and LQR-based controller always fail as system nonlinearity increases. We here propose the optimization-compensated block/diagram to reinforce the stabilization ability of these two classical control methods for nonlinear system, and besides, to achieve other performance requirements such as constrained overshoot and fast response. The controller design of a nonlinear sliding weights balancing mechanism is based on optimization-compensated root locus and LQR method. First, according to root-locus of the linearized dynamic system, we propose extra poles and zeros addition to roughly draw the locus shifting to left to achieve stabilization requirement. The poles and zeros are realized by P/PD/PID controllers. For LQR approach, we choose performance parameters to meet stabilization and minimum energy requirement. The controller is realized as feedback controller. Further, to compensate the model-error from nonlinearity and to meet other performance such as overshoot and setting time, some P/PID parameters for root-locus method and the feedback gain for LQR method are optimized via optimal parameter searching in NCD/Matlab toolbox. The simulation results demonstrate the stability and the constrained performances of the entire closed-loop system can be ensured by the proposed compensated control block diagrams.

Original languageEnglish
Title of host publication2006 IEEE International Conference on Systems, Man and Cybernetics
Pages1349-1354
Number of pages6
DOIs
Publication statusPublished - 2007 Aug 28
Event2006 IEEE International Conference on Systems, Man and Cybernetics - Taipei, Taiwan
Duration: 2006 Oct 82006 Oct 11

Publication series

NameConference Proceedings - IEEE International Conference on Systems, Man and Cybernetics
Volume2
ISSN (Print)1062-922X

Other

Other2006 IEEE International Conference on Systems, Man and Cybernetics
CountryTaiwan
CityTaipei
Period06-10-0806-10-11

Fingerprint

Root loci
Controllers
Poles and zeros
Stabilization
Feedback
Control nonlinearities
Closed loop systems
Compensation and Redress
Nonlinear systems
Dynamical systems

All Science Journal Classification (ASJC) codes

  • Engineering(all)

Cite this

Wu, S. J., Wu, C. T., Chiou, Y. Y., Lin, C. T., & Chung, Y-N. (2007). Balancing control of sliding inverted-wedge system: Classical-method-based compensation. In 2006 IEEE International Conference on Systems, Man and Cybernetics (pp. 1349-1354). [4274037] (Conference Proceedings - IEEE International Conference on Systems, Man and Cybernetics; Vol. 2). https://doi.org/10.1109/ICSMC.2006.384903
Wu, Shinq Jen ; Wu, Cheng Tao ; Chiou, Yung Yi ; Lin, Chin Teng ; Chung, Yi-Nung. / Balancing control of sliding inverted-wedge system : Classical-method-based compensation. 2006 IEEE International Conference on Systems, Man and Cybernetics. 2007. pp. 1349-1354 (Conference Proceedings - IEEE International Conference on Systems, Man and Cybernetics).
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abstract = "Root-locus-based PID controller and LQR-based controller always fail as system nonlinearity increases. We here propose the optimization-compensated block/diagram to reinforce the stabilization ability of these two classical control methods for nonlinear system, and besides, to achieve other performance requirements such as constrained overshoot and fast response. The controller design of a nonlinear sliding weights balancing mechanism is based on optimization-compensated root locus and LQR method. First, according to root-locus of the linearized dynamic system, we propose extra poles and zeros addition to roughly draw the locus shifting to left to achieve stabilization requirement. The poles and zeros are realized by P/PD/PID controllers. For LQR approach, we choose performance parameters to meet stabilization and minimum energy requirement. The controller is realized as feedback controller. Further, to compensate the model-error from nonlinearity and to meet other performance such as overshoot and setting time, some P/PID parameters for root-locus method and the feedback gain for LQR method are optimized via optimal parameter searching in NCD/Matlab toolbox. The simulation results demonstrate the stability and the constrained performances of the entire closed-loop system can be ensured by the proposed compensated control block diagrams.",
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Wu, SJ, Wu, CT, Chiou, YY, Lin, CT & Chung, Y-N 2007, Balancing control of sliding inverted-wedge system: Classical-method-based compensation. in 2006 IEEE International Conference on Systems, Man and Cybernetics., 4274037, Conference Proceedings - IEEE International Conference on Systems, Man and Cybernetics, vol. 2, pp. 1349-1354, 2006 IEEE International Conference on Systems, Man and Cybernetics, Taipei, Taiwan, 06-10-08. https://doi.org/10.1109/ICSMC.2006.384903

Balancing control of sliding inverted-wedge system : Classical-method-based compensation. / Wu, Shinq Jen; Wu, Cheng Tao; Chiou, Yung Yi; Lin, Chin Teng; Chung, Yi-Nung.

2006 IEEE International Conference on Systems, Man and Cybernetics. 2007. p. 1349-1354 4274037 (Conference Proceedings - IEEE International Conference on Systems, Man and Cybernetics; Vol. 2).

Research output: Chapter in Book/Report/Conference proceedingConference contribution

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Wu SJ, Wu CT, Chiou YY, Lin CT, Chung Y-N. Balancing control of sliding inverted-wedge system: Classical-method-based compensation. In 2006 IEEE International Conference on Systems, Man and Cybernetics. 2007. p. 1349-1354. 4274037. (Conference Proceedings - IEEE International Conference on Systems, Man and Cybernetics). https://doi.org/10.1109/ICSMC.2006.384903