An adaptive control scheme using multiple reference models

SUMMARY This paper develops an extended model reference adaptive control scheme to expand the capacity of state feedback state tracking adaptive control to handle the plant-model matching uncertainties for single-input LTI systems. The extended scheme is developed, using multiple reference model systems (only one of which is required to be able to match the controlled plant), and multiple controllers (which are updated from adaptive laws generated from multiple reference model systems based estimation errors), as two key features of such design to relax a plant-model matching condition. A switching mechanism is constructed using those multiple estimation errors, capable of selecting the suitable control input from the multiple control signals, to achieve the desired system performance. An aircraft flight control example is presented to show the capacity of such design in relaxing a practical design condition. Copyright © 2013 John Wiley & Sons, Ltd.

[1]  Edoardo Mosca,et al.  Multiple Model Adaptive Mixing Control: The Discrete-Time Case , 2012, IEEE Transactions on Automatic Control.

[2]  Petros A. Ioannou,et al.  Multiple Model Adaptive Control With Mixing , 2010, IEEE Transactions on Automatic Control.

[3]  Bin Jiang,et al.  Multiple Model-based Adaptive Reconfiguration Control for Actuator Fault , 2009 .

[4]  Thomas S. Brinsmead,et al.  Multiple model adaptive control with safe switching , 2001 .

[5]  Michael G. Safonov,et al.  Safe Adaptive Switching Control: Stability and Convergence , 2008, IEEE Transactions on Automatic Control.

[6]  Kumpati S. Narendra,et al.  The changing face of adaptive control: The use of multiple models , 2011, Annu. Rev. Control..

[7]  Kumpati S. Narendra,et al.  Adaptive control using multiple models , 1997, IEEE Trans. Autom. Control..

[8]  Thomas S. Brinsmead,et al.  Multiple model adaptive control. Part 2: switching , 2001 .

[9]  Kumpati S. Narendra,et al.  New Concepts in Adaptive Control Using Multiple Models , 2012, IEEE Transactions on Automatic Control.

[10]  Brian D. O. Anderson,et al.  A Combined Multiple Model Adaptive Control Scheme and Its Application to Nonlinear Systems With Nonlinear Parameterization , 2012, IEEE Transactions on Automatic Control.

[11]  Tianyou Chai,et al.  Nonlinear multivariable adaptive control using multiple models and neural networks , 2007, Autom..

[12]  A. Paul,et al.  Cost detectability and stability of adaptive control systems , 2007 .

[13]  Tianyou Chai,et al.  A Nonlinear Control Method Based on ANFIS and Multiple Models for a Class of SISO Nonlinear Systems and Its Application , 2011, IEEE Transactions on Neural Networks.

[14]  Alexander L. Fradkov,et al.  Passification-based robust flight control design , 2011, Autom..

[15]  R. Mehra,et al.  Multiple-Model Adaptive Flight Control Scheme for Accommodation of Actuator Failures , 2002 .

[16]  G. Tao,et al.  Adaptive control of piecewise linear systems with applications to NASA GTM , 2011, Proceedings of the 2011 American Control Conference.