This paper deals with the partial pole placement design of a proportional-integral (PI) observer. The proposed partial pole placement approach offers a new method for designers to assign the PI observer gains on a detectable system. Analysis and design of the PI observer are discussed in detail. A crucial lemma and discussions to the proposed approach are presented, and an illustrative numerical example is given to verify the proposed design approach.
EllisG.Control system design guide, (Elsevier Academic Press, New York.2004)
2.
NiemannH. H.StoustrupJ.ShafaiB.BealeS.‘LTR design of proportional-integral observers.’Int. J. Robust Nonlinear Control5 (1995): 671–693
3.
DuanG.-R.LiuG.-P.ThompsonS.‘Eigenstructure assignment design for proportional-integral observers: Continuous-time case.’IEE Proc. Control Theory Applics148 (2001): 263–267
4.
TsaiM.-C.TsengE.-C.ChengM.-Y.‘Design of a torque observer for detecting abnormal load.’Control Engng Practices8 (2000): 259–269
5.
HuJ.-S.TsaiM.-C.‘Model reference approach to a force feedback joystick in PC video games.’Int. J. Computer Applics in Technol.28 (2007): 304–309
6.
BealeS.ShafaiB.‘Robust control system design with a proportional integral observer.’Int. J. Control50 (1989): 97–111
7.
SoffkerD.YuT.-J.MullerP. C.‘State estimation of dynamical systems with nonlinearities by using proportional-integral observer.’Int. J. System Sci.26 (1995): 1571–1582
8.
DuanG.-R.WuA.-G.‘Robust fault detection in linear systems based on PI observers.’Int. J. Systems Sci.37 (2006): 809–816
9.
JiangG.-P.WangS.-P.SongW.-Z.‘Design of observer with integrators for linear systems with unknown input disturbances.’IEE Electronics Lett.36 (2000): 1168–1169
KautskyJ.NicholsN. K.DoorenP. V.‘Robust pole assignment in linear state feedback.’Int. J. Control41 (1985): 1129–1155
12.
FranklinG. F.PowellJ. D.Emami-NaeiniA.Feedback control of dynamic systems, (Addison Wesley, New York.1995)
13.
HuJ.-S.TsaiM.-C.‘Design of robust stabilization and fault diagnosis for an auto-balancing two-wheeled cart.’Advd Robotics22 (2008): 319–338
14.
NicholsN. K.‘Robustness in partial pole placement.’IEEE Trans. on Automatic Control AC-32 (1987): 728–732
15.
SatohA.HodakaI.SugimotoK.‘Partial pole placement with specified stability margins.’In Proceedings of the 38th IEEE Conference on Decision and control, Arizona, 1999, pp. 1389–1390.
16.
SoylemezM. T.MunroN.‘A new technique for partial pole placement using constant output-feedback.’In Proceedings of the 37th IEEE Conference on Decision and control, Florida, 1998, pp. 1722–1727.
17.
SaadY.‘Projection and deflation method for partial pole assignment in linear state feedback.’IEEE Trans. on Automatic Control33 (1988): 290–297
18.
KalmanR. E.‘Canonical structure of linear dynamic systems.’Proc. Natl. Acad. Sci. USA48 (1962): 596–600
19.
TsaiM.-C.HuJ.-S.‘Pilot control of an auto-balancing two-wheeled cart.’Advd Robotics21 (2007): 817–827
