Simple adaptive output control of linear systems

Simple adaptive output control for a class of linear uncertain plants corrupted by disturbance is proposed in the paper. The control law guarantees the robustness of the closed-loop system and exponential convergence of the control error to the neighborhood of zero equilibrium. The main advantage of the proposed approach consists in its simple structure. The control low involves one adjustable parameter only and has small dynamical order equaled to n + 1.

[1]  A. Morse,et al.  Adaptive control of single-input, single-output linear systems , 1977, 1977 IEEE Conference on Decision and Control including the 16th Symposium on Adaptive Processes and A Special Symposium on Fuzzy Set Theory and Applications.

[2]  V. O. Nikiforov,et al.  Adaptive backstepping with a high-order tuner , 2001, Autom..

[3]  Eugene P. Ryan,et al.  Tracking control with prescribed transient behaviour for systems of known relative degree , 2006, Syst. Control. Lett..

[4]  Naresh K. Sinha,et al.  Modern Control Systems , 1981, IEEE Transactions on Systems, Man, and Cybernetics.

[5]  R. Ortega On Morse's new adaptive controller: parameter convergence and transient performance , 1993, IEEE Trans. Autom. Control..

[6]  Peter Kuster,et al.  Nonlinear And Adaptive Control Design , 2016 .

[7]  Itzhak Barkana,et al.  Classical and Simple Adaptive Control for Nonminimum Phase Autopilot Design , 2005 .

[8]  A. S. Morse,et al.  High-Order Parameter Tuners for the Adaptive Control of Linear and Nonlinear Systems , 1992 .

[9]  Itzhak Barkana,et al.  Simple adaptive controlߞA stable direct model reference adaptive control methodology - brief survey , 2007, ALCOSP.

[10]  Itzhak Barkana,et al.  Simple adaptive control – a stable direct model reference adaptive control methodology – brief survey , 2014 .

[11]  Maria Adler,et al.  Stable Adaptive Systems , 2016 .

[12]  S. Sastry,et al.  Adaptive Control: Stability, Convergence and Robustness , 1989 .

[13]  V. O. Nikiforov Robust high-order tuner of simplified structure , 1999, Autom..

[14]  Achim Ilchmann,et al.  High‐gain control without identification: a survey , 2008 .