Output regulation for nonlinear systems: an overview

The problem of controlling the output of a system so as to achieve asymptotic tracking of prescribed trajectories and/or asymptotic rejection of disturbances is one of the most fundamental problems in control theory. In linear system theory, a powerful approach to the solution of this problem is the design of a controller incorporating an internal model of all exogenous inputs. The extension of this approach to nonlinear systems has been thoroughly investigated in the past 10 years. The purpose of this paper is to review the major achievements in this area as well as to outline the major problems on which the research is presently progressing. Copyright © 2000 John Wiley & Sons, Ltd.

[1]  Alberto Isidori,et al.  Semiglobal robust regulation of nonlinear systems , 1996 .

[2]  A. Isidori A remark on the problem of semiglobal nonlinear output regulation , 1997, IEEE Trans. Autom. Control..

[3]  Francesco Delli Priscoli Sufficient conditions for robust tracking in nonlinear systems , 1997 .

[4]  B. Paden,et al.  Nonlinear inversion-based output tracking , 1996, IEEE Trans. Autom. Control..

[5]  Jie Huang,et al.  On a robust nonlinear servomechanism problem , 1994, IEEE Trans. Autom. Control..

[6]  Jie Huang,et al.  On a nonlinear multivariable servomechanism problem , 1990, Autom..

[7]  W. Rugh,et al.  Stabilization on zero-error manifolds and the nonlinear servomechanism problem , 1992 .

[8]  Christopher I. Byrnes,et al.  Boundary control, stabilization and zero-pole dynamics for a non-linear distributed parameter system , 1999 .

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

[10]  E. Davison The robust control of a servomechanism problem for linear time-invariant multivariable systems , 1976 .

[11]  Hassan K. Khalil,et al.  Robust Servomechanism Output Feedback Controllers for a Class of Feedback Linearizable Systems , 1993 .

[12]  Lorenzo Marconi,et al.  Semiglobal robust output regulation of minimum‐phase nonlinear systems , 2000 .

[13]  W. Wonham,et al.  Error feedback and internal models on differentiable manifolds , 1982, 1982 21st IEEE Conference on Decision and Control.

[14]  Arthur J. Krener,et al.  The Local Solvability of a Hamilton--Jacobi--Bellman PDE around a Nonhyperbolic Critical Point , 2000, SIAM J. Control. Optim..

[15]  Christopher I. Byrnes,et al.  Structurally stable output regulation of nonlinear systems , 1997, Autom..

[16]  Jie Huang,et al.  Internal model principle and robust control of nonlinear systems , 1993, Proceedings of 32nd IEEE Conference on Decision and Control.

[17]  B. Francis The linear multivariable regulator problem , 1976, 1976 IEEE Conference on Decision and Control including the 15th Symposium on Adaptive Processes.

[18]  Henk Nijmeijer,et al.  Nonlinear control systems design, 1998 (NOLCOS'98) : a proceedings volume from the 4th IFAC Symposium, Enschede, the Netherlands, 1-3 July 1998 , 1998 .

[19]  Hassan K. Khalil,et al.  Robust servomechanism output feedback controllers for feedback linearizable systems , 1994, Autom..

[20]  Jie Huang,et al.  Asymptotic tracking in uncertain Volterra systems , 1997 .

[21]  Bruce A. Francis,et al.  The internal model principle of control theory , 1976, Autom..

[22]  Arthur J. Krener The Construction of Optimal Linear and Nonlinear Regulators , 1992 .

[23]  Jie Huang Asymptotic tracking and disturbance rejection in uncertain nonlinear systems , 1995, IEEE Trans. Autom. Control..

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

[25]  W. Rugh,et al.  An approximation method for the nonlinear servomechanism problem , 1992 .

[26]  Eduardo D. Sontag,et al.  On the Input-to-State Stability Property , 1995, Eur. J. Control.