On the sliding mode regulator problem

Abstract In this paper we study the problem of tracking asymptotically a reference signal while rejecting the effect of a disturbance signal by means of the sliding mode technique. Analogously to the formulation of the so-called regulator problem, we define the sliding mode regulator problem and derive conditions for the existence of a solution.

[1]  A. Isidori,et al.  Output regulation of nonlinear systems , 1990 .

[2]  E. Davison,et al.  Robust control of a general servomechanism problem: The servo compensator , 1975, Autom..

[3]  Bernardino Castillo-Toledo,et al.  Nonlinear regulation of an underactuated system , 1997, Proceedings of International Conference on Robotics and Automation.

[4]  Walter Murray Wonham,et al.  A design procedure for multivariable regulators , 1974, Autom..

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

[6]  S. Billings,et al.  Analysis and design of variable structure systems using a geometric approach , 1983 .