Combined/Composite Model Reference Adaptive Control

This technical note introduces a provably stable state-feedback design modification for combined/composite adaptive control of multi-input multi-output dynamical systems with matched uncertainties. The proposed design methodology is applied to control longitudinal dynamics of an aerial vehicle.

[1]  Matthew C. Turner,et al.  On the Existence of Stable, Causal Multipliers for Systems With Slope-Restricted Nonlinearities , 2009, IEEE Transactions on Automatic Control.

[2]  Jun Nakanishi,et al.  Composite adaptive control with locally weighted statistical learning , 2005, Neural Networks.

[3]  Zvi Artstein,et al.  Feedback and invariance under uncertainty via set-iterates , 2008, Autom..

[4]  Frank L. Lewis,et al.  Aircraft Control and Simulation , 1992 .

[5]  Jun Nakanishi,et al.  A locally weighted learning composite adaptive controller with structure adaptation , 2002, IEEE/RSJ International Conference on Intelligent Robots and Systems.

[6]  Sasa V. Rakovic,et al.  Minkowski algebra and Banach Contraction Principle in set invariance for linear discrete time systems , 2007, 2007 46th IEEE Conference on Decision and Control.

[7]  Rodrigo González,et al.  Control of longitudinal movement of a plane using combined model reference adaptive control , 2005 .

[8]  David Q. Mayne,et al.  Optimized robust control invariance for linear discrete-time systems: Theoretical foundations , 2007, Autom..

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

[10]  Daniel E. Miller A new approach to model reference adaptive control , 2003, IEEE Trans. Autom. Control..

[11]  Petros A. Ioannou,et al.  Adaptive control tutorial , 2006, Advances in design and control.

[12]  L. Praly,et al.  Adaptive nonlinear regulation: estimation from the Lyapunov equation , 1992 .

[13]  Weiping Li,et al.  Composite adaptive control of robot manipulators , 1989, Autom..

[14]  K. Narendra,et al.  A new adaptive estimator for linear systems , 1992 .

[15]  Weiping Li,et al.  Adaptive robot control: A new perspective , 1987, 26th IEEE Conference on Decision and Control.

[16]  David Q. Mayne,et al.  Invariant approximations of the minimal robust positively Invariant set , 2005, IEEE Transactions on Automatic Control.

[17]  K. Narendra,et al.  Combined direct and indirect approach to adaptive control , 1989 .

[18]  B. Bank,et al.  Non-Linear Parametric Optimization , 1983 .

[19]  Lakmal Seneviratne,et al.  Adaptive Control Of Robot Manipulators , 1992, Proceedings of the IEEE/RSJ International Conference on Intelligent Robots and Systems.

[20]  Manuel A. Duarte-Mermoud,et al.  Experimental evaluation of combined model reference adaptive controller in a pH regulation process , 2002 .