Robust direct adaptive control with least prior knowledge

A new, robust, discrete time, singularity-free, direct adaptive-control scheme is proposed with respect to a class of modeling uncertainties in this paper. Two key features of this scheme are that a relative dead zone is used, but no knowledge of the parameters of the upper bounding function on the class of modeling uncertainties is required, and no knowledge of the lower bound on the leading coefficient of the parameter vector is required to ensure the control law singularity free. Global stability and convergence results of the scheme are provided. >

[1]  G. Goodwin,et al.  Adaptive control of nonminimum phase systems , 1981 .

[2]  D. Mayne,et al.  Design issues in adaptive control , 1988 .

[3]  Claude Samson,et al.  Stability analysis of adaptively controlled systems subject to bounded disturbances , 1983, Autom..

[4]  R. Lozano-Leal Robust Adaptive Regulation without Persistent Excitation , 1989, 1989 American Control Conference.

[5]  Michael Athans,et al.  Robustness of continuous-time adaptive control algorithms in the presence of unmodeled dynamics , 1985 .

[6]  K. Narendra,et al.  Stable model reference adaptive control in the presence of bounded disturbances , 1982 .

[7]  B. Anderson Exponential convergence and persistent excitation , 1982, CDC 1982.

[8]  L. Valavani,et al.  Robustness of adaptive control algorithms in the presence of unmodeled dynamics , 1982, 1982 21st IEEE Conference on Decision and Control.

[9]  Sanjeev M. Naik,et al.  Robust continuous-time adaptive control by parameter projection , 1992 .

[10]  Romeo Ortega,et al.  Robustness of adaptive controllers - A survey , 1989, Autom..

[11]  B. Anderson,et al.  Robust model reference adaptive control , 1986 .

[12]  Marimuthu Palaniswami,et al.  A stable adaptive implementation of the internal model principle , 1992 .

[13]  Anuradha M. Annaswamy,et al.  Stable Adaptive Systems , 1989 .

[14]  Rogelio Lozano,et al.  Singularity-free adaptive pole placement using periodic controllers , 1993, IEEE Trans. Autom. Control..

[15]  K. Narendra,et al.  Bounded error adaptive control , 1980, 1980 19th IEEE Conference on Decision and Control including the Symposium on Adaptive Processes.

[16]  Bo Egardt,et al.  Stability of Adaptive Controllers , 1979 .

[17]  Petros A. Ioannou Robust adaptive controller with zero residual tracking errors , 1986, 1985 24th IEEE Conference on Decision and Control.

[18]  Petros A. Ioannou,et al.  Robust redesign of adaptive control , 1984 .

[19]  J. Collado,et al.  Adaptive control for systems with bounded disturbances , 1989 .