Nonlinear Output-Feedback Tracking Using High-gain Observer and Variable Structure Control,

Abstract We consider a single-input-single-output nonlinear system which can be represented by an input-output model. The system, which can be transformed into the normal form, is required to be minimum phase. The model contains unknown bounded disturbances. We assume that the reference signal and its derivatives are bounded. A high-gain observer is used to estimate derivatives of the tracking error while rejecting the effect of the disturbances. We design a globally bounded output-feedback variable structure controller that ensures tracking of the reference signal in the presence of unknown time-varying disturbances and modeling errors. We give regional as well as semiglobal results. We do not require exponential stability of the zero dynamics nor global growth conditions. © 1997 Elsevier Science Ltd.

[1]  Zongli Lin,et al.  Robust semi-global stabilization of minimum-phase input-output linearizable systems via partial state and output feedback , 1994, Proceedings of 1994 American Control Conference - ACC '94.

[2]  H. Khalil,et al.  Robust control for a nonlinear servomechanism problem , 1997 .

[3]  A. Teel,et al.  Tools for Semiglobal Stabilization by Partial State and Output Feedback , 1995 .

[4]  Vadim I. Utkin,et al.  Sliding Modes in Control and Optimization , 1992, Communications and Control Engineering Series.

[5]  Reyad El-Khazali,et al.  Variable Structure Output Feedback Control , 1992, 1992 American Control Conference.

[6]  A. Isidori Nonlinear Control Systems , 1985 .

[7]  S. V. Emel'yanov,et al.  Output feedback stabilization of uncertain plants : a variable structure systems approach , 1992 .

[8]  John Y. Hung,et al.  Variable structure control: a survey , 1993, IEEE Trans. Ind. Electron..

[9]  Hebertt Sira-Ramírez,et al.  A dynamical variable structure control strategy in asymptotic output tracking problems , 1993, IEEE Trans. Autom. Control..

[10]  M. Jankovic Adaptive nonlinear output feedback tracking with a partial high-gain observer and backstepping , 1997, IEEE Trans. Autom. Control..

[11]  Hassan K. Khalil,et al.  Output feedback stabilization using variable structure control , 1995 .

[12]  Eduardo Sontag Smooth stabilization implies coprime factorization , 1989, IEEE Transactions on Automatic Control.

[13]  H. Khalil,et al.  Semiglobal stabilization of a class of nonlinear systems using output feedback , 1993, IEEE Trans. Autom. Control..

[14]  A. Teel,et al.  Global stabilizability and observability imply semi-global stabilizability by output feedback , 1994 .

[15]  H. Khalil Adaptive output feedback control of nonlinear systems represented by input-output models , 1996, IEEE Trans. Autom. Control..

[16]  H. Khalil,et al.  Output feedback stabilization of fully linearizable systems , 1992 .

[17]  J. Karl Hedrick,et al.  Sliding Compensators for a Class of Nonlinear Systems , 1990, 1990 American Control Conference.

[18]  Zongli Lin,et al.  Robust semiglobal stabilization of minimum-phase input-output linearizable systems via partial state and output feedback , 1995, IEEE Trans. Autom. Control..

[19]  R. Decarlo,et al.  Variable structure control of nonlinear multivariable systems: a tutorial , 1988, Proc. IEEE.

[20]  H. Khalil,et al.  Asymptotic regulation of minimum phase nonlinear systems using output feedback , 1996, IEEE Trans. Autom. Control..

[21]  A. Isidori,et al.  Asymptotic stabilization of minimum phase nonlinear systems , 1991 .

[22]  Aldo A. Ferri,et al.  Application of output feedback to variable structure systems , 1989 .

[23]  Bill Diong,et al.  Dynamic output feedback variable structure control for system stabilization , 1992 .