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Partial Pole Assignment via Constant Gain Feedback in Two Classes of Frequency-domain Models  

Wang, Guo-Sheng (Department of Control Engineering, Academy of Armored Force Engineering)
Yang, Guo-Zhen (Department of Control Engineering, Academy of Armored Force Engineering)
Duan, Guang-Ren (Center for Control Theory and Guidance Technology, Harbin Institute of Technology)
Publication Information
International Journal of Control, Automation, and Systems / v.5, no.2, 2007 , pp. 111-116 More about this Journal
Abstract
The design problem of partial pole assignment (PPA) in two classes of frequency-domain MIMO models by constant gain feedback is investigated in this paper. Its aim is to design a constant gain feedback which changes only a subset of the open-loop eigenvalues, while the rest of them are kept unchanged in the closed-loop system. A near general parametric expression for the feedback gain matrix in term of a set of design parameter vectors and the set of the closed-loop poles, and a simple parametric approach for solving the proposed problem are presented. The set of poles do not need to be previously prescribed, and can be set undetermined and treated together with the set of parametric vectors as degrees of design freedom provided by the approach. An illustrative example shows that the proposed parametric method is simple and effective.
Keywords
Feedback control; frequency-domain models; parameterization; pole assignment;
Citations & Related Records
Times Cited By KSCI : 1  (Citation Analysis)
Times Cited By Web Of Science : 4  (Related Records In Web of Science)
Times Cited By SCOPUS : 8
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1 M. H. Hsueh and H. A Sehitoglu, 'New eigenvalue placement method for linear dynamic systems,' Proc. of the 36th Conference on Decision and Control, San Diego, California USA, pp. 4286-4287, December 1997
2 L. John and K. Nicos, 'The pole placement map, its properties, and relationships to system invariants,' IEEE Trans. on Automatic Control, vol. 38, no. 8, pp. 1266-1270, 1993   DOI   ScienceOn
3 G. S. Wang, B. Liang, and G. R. Duan, 'Reconfiguring second-order dynamic systems via state feedback eigenstructure assignment,' International Journal of Control, Automation, and Systems, vol. 3, no. 1, pp. 109-116, 2005   과학기술학회마을
4 G. S. Wang and G. R. Duan, 'Robust pole assignment via P-D feedback in a class of second-order dynamic systems,' Proc. of International Conference of Automation, Robots and Computer Vision, Kunming, China, pp. 1152-1156, 2004
5 G. R. Duan and G. S. Wang, 'Partial eigenstructure assignment for descriptor linear systems: A complete parametric approach,' Proc. of the Conference on Decision and Control, Hawaii, US, pp. 3402-3407, December 2003
6 A. Eisinberg, G. Franze, and N. Salerno, 'The pole placement problem by output-gain feedback: An alternative formulation,' Proc. of the 37th Conference on Decision and Control, Tampa, Florida USA, pp. 1742-1744, December 1998
7 G. R. Duan, 'Eigenstructure assignment and response analysis in descriptor linear systems with state feedback control,' Int. J. Control, vol. 69, no. 5, pp. 663-694, 1998   DOI   ScienceOn
8 W. W. Lin and J. N. Wang, 'Partial pole assignment for the vibrating system with aerodynamic effect,' Numerical Linear Algebra with Applications, vol. 11, pp. 41-59, 2004   DOI   ScienceOn
9 G. R. Duan and R. J. Patton, 'Eigenstructure assignment in descriptor systems via state feedback-A new complete parametric approach,' Int. J. Systems Science, vol. 29, no. 2, pp. 167-178, 1998   DOI   ScienceOn
10 G. R. Duan and G. S. Wang, 'P-D feedback eigenstructure assignment with minimum control effort in second-order dynamic systems,' Proc. of IEEE International Symposium of Computer Aid Control System Design, Taibei, China, pp. 344-349, September 2004
11 S. Atsushi, H. Ichijyo, and S. Kenji, 'Partial pole placement with specified stability margins,' Proc. of the 38th Conference on Decision and Control, Phoenix, Arizona USA, pp. 1389-390, December 1999
12 G. R. Duan, 'Eigenstructure assignment in descriptor linear systems via output feedback,' Int. J. Control, vol. 72, no. 4, 1999, pp. 345-364   DOI   ScienceOn
13 K. Hitoshi and I. Akira, 'Pole assignment by state transition graph,' IEEE Trans. on Automatic Control, vol. 37, no. 8, pp. 1196-1201, 1992   DOI   ScienceOn
14 A. Dirk and L. W. Jacques, 'Pole assignment for linear periodic systems by memoryless output feedback,' IEEE Trans. on Automatic Control, vol. 40, no. 4, pp. 735-739, 1995   DOI   ScienceOn
15 G. S. Wang and G. R. Duan, 'State feedback eigenstructure assignment with minimum control effort,' Proc. of the 5th World Congress on Intelligent Control and Automation, Hangzhou, China, vol. 1, pp. 35-38, June 2004
16 S. Kenji, 'Partial pole placement by LQ regulators: An inverse problem approach,' IEEE Trans. on Automatic Control, vol. 43, no. 5, pp. 706-708, 1998   DOI   ScienceOn
17 G. R. Duan, G. W. Irwin, and G. P. Liu, 'Disturbance attenuation in linear systems via dynamical compensators-A parametric eigen-structure assignment approach,' IEE Proceeding, Control Theory and Applications, vol. 146, no. 2, pp. 129-136, 2000   DOI   ScienceOn
18 L. J. Chiang and H. D. Thorp, 'Partial eigenstructure assignment and its application to large-scale systems,' IEEE Trans. on Automatic Control, vol. 36, no. 3, pp. 340-347, 1991   DOI   ScienceOn