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Output Feedback Passivation of Non-square Linear Systems Using an Input-Dimensional Compensator  

손영익 (명지대 공대 전기공학과)
Publication Information
The Transactions of the Korean Institute of Electrical Engineers D / v.53, no.1, 2004 , pp. 10-15 More about this Journal
Abstract
We present a state-space approach to make non-square linear systems strictly passive by using an input-dimensional parallel feedforward compensator. A necessary and sufficient condition for the existence of the parallel feedforward compensator is given by the static output feedback formulation, which enables to utilize linear matrix inequality. By modifying the structure of the compensator the additional technical assumption in the previous result [1] is removed. The effectiveness of the proposed method is illustrated by some numerical examples which can be stabilized by the proportional-derivative (PD) and proportional-derivative-integral (PID) control laws. The proposed control scheme can successfully replace the measurements of derivative terms in the control laws.
Keywords
(Feedback) Passivity; Non-square System; Parallel Feedforward Compensation; Static Output Feedback; Derivative Feedback;
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Times Cited By KSCI : 3  (Citation Analysis)
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1 J.C. Geromel, P.L.D. Peres, and S.R. Souza, 'Convex analysis of output feedback control problems: robust stability and performance,' IEEE Trans. Automat. Contr., vol. 41, no. 7, pp. 997-1003, 1996   DOI   ScienceOn
2 Z.P. Jiang and D.J. Hill, 'Passivity and disturbance attenuation via output feedback for uncertain nonlinear systems,' IEEE Trans. Automat. Contr., vol. 43, no. 7, pp. 992-997, 1998   DOI   ScienceOn
3 손영익, 심형보, 조남훈, '비정방 선형 시스템의 강인 제어기 설계 및 그 응용', 대한전기학회논문지, vol. 52D, no. 4, pp. 189-197, 2003   과학기술학회마을
4 C.I. Byrnes, A. Isidori, and J.C. Willems, 'Passivity, feedback equivalence, and the global stabilization of minimum phase nonlinear systems,' IEEE Trans. Automat. Contr., vol. 36, no. 11, pp. 1228-1240, 1991   DOI   ScienceOn
5 R. Sepulchre, M. Jankovic, and P.V. Kokotovic, Constructive Nonlinear Control, Springer-Verlag, 1997
6 Y.-Y. Cao, J. Lam, and Y.-X. Sun, 'Static output feedback stabilization: an ILMI approach,' Automatica, vol. 34, no. 12, pp. 1641-1645, 1998   DOI   ScienceOn
7 C.A.R. Crusius and A. Trofino, 'Sufficient LMI conditions for output feedback control problems,' IEEE Trans. Automat. Contr., vol. 44, no. 5, pp. 1053-1057, 1999   DOI   ScienceOn
8 H.K. Khalil, Nonlinear Systems, Prentice Hall, 2nd Ed., 1996
9 R. Ortega, A. Loria, P.J. Nicklasson, and H. Sira-Ramirez, Passivity-based Control of Euler-Language Systems, Springer-Verlag, 1998
10 J. Collado, R. Lozano, and I. Fantoni, 'Control of convey-crane based on passivity,' In Proc. of ACC, pp. 1260-1264, 2000   DOI
11 Y. Kawasaki, I. Mizumoto, R. Wakamiya, and Z. Iwai, 'Adaptive control of an inverted pendulum system,' In Proc. of Asia-Pacific Vibration Conference '93, Japan, vol. 3, pp. 1114-1119, 1993
12 I. Bar-Kana, 'Parallel feedforward and simplified adaptive control,' Int. ]. Adaptive Control and Signal Processing, vol. 1, no. 2, 95-109, 1987   DOI
13 H. Shim, J.H. Seo, A.R. Teel, 'Nonlinear observer design via passivation of error dynamics,' Automatica, vol. 39, pp. 885-892, 2003   DOI   ScienceOn
14 H. Kaufman, I. Bar-kana, and K. Sobel, Direct Adaptive Control Algorithms, Springer-Verlag, 2nd Ed., 1998
15 Z. Iwai and I. Mizumoto, 'Realization of simple adaptive control by using parallel feedforward compensator,' Int. J. Control, vol. 59, no. 6, pp. 1543-1565, 1994   DOI   ScienceOn
16 A.G. Kelkar and S.M. Joshi, 'Robust control of non-passive systems via passification', In Proc. of ACC, 1997   DOI
17 M. Deng, Z. Iwai, and I. Mizumoto, 'Robust parallel compensator design for output feedback stabilization of plants with structured uncertainty', Systems & Control Letters, vol. 36, pp. 193-198, 1999   DOI   ScienceOn
18 Young I. Son, Hyungbo Shim, and Jin H. Seo, 'Passification of nonlinear systems via dynamic output feedback', Journal of KIEE, pp. 23-28, 2000   과학기술학회마을