High performance adaptive control in the presence of time delays

Many potential applications of adaptive control, such as adaptive flight control systems, require that the controller have high performance, stability guarantees, and robustness to time delays. These requirements typically lead to engineering trade-offs, such as a trade-off between performance and robustness. In this paper, we examine several modifications to the typical direct model reference adaptive control (MRAC) approach which can be used to achieve higher performance as well as higher levels of robustness. A new Time Delay Resistant (TDR) adaptive control framework is proposed using a combination of several modifications to MRAC. The various modifications to MRAC, as well as the TDR adaptive controller are applied to the control of longitudinal dynamics of an aerial vehicle in simulation.

[1]  Kevin Barraclough,et al.  I and i , 2001, BMJ : British Medical Journal.

[2]  K. Narendra,et al.  Stable model reference adaptive control in the presence of bounded disturbances , 1982 .

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

[4]  Anuradha M. Annaswamy,et al.  Time delay resistant adaptive control of mini-UAVs , 2010 .

[5]  D. Yanakiev,et al.  Adaptive Idle Speed Control for Internal Combustion Engines , 2007, 2007 American Control Conference.

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

[7]  Anuradha M. Annaswamy,et al.  Adaptive posicast controller for time-delay systems with relative degree n*<=2 , 2010, Autom..

[8]  P. Kokotovic,et al.  Robust control of nonlinear systems with input unmodeled dynamics , 1996, IEEE Trans. Autom. Control..

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

[10]  Anuradha M. Annaswamy,et al.  Robust Adaptive Control , 1984, 1984 American Control Conference.

[11]  Robert M. Sanner,et al.  Gaussian Networks for Direct Adaptive Control , 1991, 1991 American Control Conference.

[12]  A. Olbrot,et al.  Finite spectrum assignment problem for systems with delays , 1979 .

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

[14]  Eugene Lavretsky,et al.  Combined/Composite Model Reference Adaptive Control , 2009, IEEE Transactions on Automatic Control.

[15]  Jean-Jacques E. Slotine,et al.  Adaptive sliding controller synthesis for non-linear systems , 1986 .

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

[17]  Kumpati S. Narendra,et al.  Error models with parameter constraints , 1996 .