Robust discrete-time simple adaptive tracking

This paper provides, rigorous results on robust output-feedback simplified adaptive controllers tracking for discrete-time systems with uncertainties. Sufficient conditions for the closed-loop stability and perfect tracking of the proposed simplified adaptive control scheme, given in the paper, lead to almost strictly positive realness requirement on the plant under certain conditions. The numerical example demonstrates the proposed method.

[1]  Izhak Bar-Kana,et al.  Absolute Stability and Robust Discrete Adaptive Control of Multivariable Systems , 1989 .

[2]  Isaac Yaesh,et al.  Robust Discrete Time Simplified Adaptive control , 2006 .

[3]  Isaac Yaesh,et al.  Simplified adaptive control via improved robust positive real conditions , 2006, Syst. Control. Lett..

[4]  I. Barkana,et al.  On stability and gain convergence in discrete simple adaptive control , 2005 .

[5]  Itzhak Barkana.  ON OUTPUT FEEDBACK STABILITY AND PASSIVITY IN DISCRETE LINEAR SYSTEMS , 2005 .

[6]  Weiping Li,et al.  Applied Nonlinear Control , 1991 .

[7]  H. Kaufman,et al.  Implicit Adaptive Control for a Class of MIMO Systems , 1982, IEEE Transactions on Aerospace and Electronic Systems.

[8]  H. Shibata,et al.  A new discrete-time algorithm for simple adaptive control and its application to motor control , 1994, Proceedings of IECON'94 - 20th Annual Conference of IEEE Industrial Electronics.

[9]  Chi-Cheng Cheng,et al.  Direct adaptive control design for reachable linear discrete-time uncertain systems , 2003, Proceedings 2003 IEEE International Symposium on Computational Intelligence in Robotics and Automation. Computational Intelligence in Robotics and Automation for the New Millennium (Cat. No.03EX694).

[10]  Howard Kaufman,et al.  Direct adaptive control algorithms: theory and applications , 1993, Choice Reviews Online.

[11]  K. M. Sobel.  Simplified adaptive control for not ASPR systems , 1989, Proceedings. ICCON IEEE International Conference on Control and Applications.