Recursively updated least squares based modification term for adaptive control

We present an approach for combining standard recursive least squares based regression with proven direct model reference adaptive control using a recursively updated modification term. This approach is applicable to adaptive control problems where the uncertainty can be linearly parameterized. The combined training law drives the adaptive weights smoothly to a recursively updated least squares estimate of the ideal weights and is shown to have a stability proof. Expected improvement in performance of the adaptive law is validated through simulation.

[1]  Sahjendra N. Singh,et al.  Direct Adaptive and Neural Control of Wing-Rock Motion of Slender Delta Wings , 1995 .

[2]  John Kaneshige,et al.  Dynamics and Adaptive Control for Stability Recovery of Damaged Asymmetric Aircraft , 2006 .

[3]  K. Narendra,et al.  A New Adaptive Law for Robust Adaptation without Persistent Excitation , 1986, 1986 American Control Conference.

[4]  F. L. Lewis NONLINEAR NETWORK STRUCTURES FOR FEEDBACK CONTROL , 1999 .

[5]  Eric N. Johnson,et al.  Adaptive control of systems in cascade with saturation , 2010, 49th IEEE Conference on Decision and Control (CDC).

[6]  Miroslav Krstic,et al.  Control of Wing Rock Motion Using Adaptive Feedback Linearization , 1996 .

[7]  K. Y. Volyanskyy,et al.  An Error Minimization Method in Adaptive Control , 2006 .

[8]  Gang Tao,et al.  Adaptive Control Design and Analysis , 2003 .

[9]  Jia Luo,et al.  Control of Wing-Rock Motion of Slender Delta Wings , 1993 .

[10]  Girish Chowdhary,et al.  Theory and flight test validation of long term learning adaptive flight controller , 2008 .

[11]  Jooyoung Park,et al.  Universal Approximation Using Radial-Basis-Function Networks , 1991, Neural Computation.

[12]  Arthur Gelb,et al.  Applied Optimal Estimation , 1974 .

[13]  Petros A. Ioannou,et al.  Robust Adaptive Control , 2012 .

[14]  Nakwan Kim Improved Methods in Neural Network-Based Adaptive Output Feedback Control, with Applications to Flight Control , 2003 .

[15]  O. Bretscher Linear Algebra with Applications , 1996 .

[16]  Eric N. Johnson,et al.  Limited authority adaptive flight control , 2000 .