Approximate output regulation for affine nonlinear systems

Abstract

Output regulation for affine nonlinear systems driven by an exogenous signal is investigated in this paper. In the absence of the standard exosystem hypothesis, we assume availability of the instantaneous values of the exogenous signal and its first time-derivative for use in the control law. For affine nonlinear systems, the necessary and sufficient conditions of the solvability of approximate output regulation problem are obtained. The precise form of the control law is presented under some suitable assumptions.

Keywords

Approximate output regulation / affine nonlinear system / exogenous signal

References

[1] Battilitti S.. Global output regulation and disturbance attenuation with global stability via measurement feedback for a class of nonlinear systems. IEEE Trans. Automat. Control, 1996, 41(3): 315-317.

[2] Byrnes C. I., Proscoli F. D., et al. Structurally stable output regulation of nonlinear systems. Automatica, 1997, 33(3): 368-385.

[3] Cheng D., Jarn T. J.. On the design of output regulators for systems. System & Control Letter, 2001, 43(6): 167-179.

[4] Huang J., Rugh W. J.. An approximation methed for the nonlinear servomechanism problem. IEEE Trans. Automat. Control, 1992, 37(9): 1395-1398.

[5] Isidori A., Byrnes C. I.. Output regulation of nonlinear systems. IEEE Trans.Automat. Control, 1990, 35(2): 131-140.

[6] Isidori A., Jarn T. J.. Robust regulation for nonlinear systems with gain-bounded uncertainties. IEEE Trans. Automat. Control, 1995, 40(10): 1744-1754.

[7] Marconi L., Isidori A.. Mixed internal model-based and feedforward control for robust tracking in nonlinear systems. Automatica, 2000, 36(7): 993-1000.

[8] Sureshbabu B. N., Rugh W. J.. Output regulation with derivative information. IEEE Trans. Automat. Control, 1995, 40(10): 1755-1766.