Robust adaptive posicast controller

Abstract Adaptive Posicast Controller that is robust to delay-mismatch is introduced in this paper. Inspired from a recent result on guaranteed delay margins in adaptive control, the original adaptive laws of the above mentioned controller are modified using projection to compensate the uncertainty in the input delay. It is conjectured and shown in simulations that even though the assumed upper bound for the delay value is exceeded, Adaptive Posicast Controller with projection algorithm keeps all the system signals bounded.

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

[2]  Zongli Lin,et al.  On Input-to-State Stability for Nonlinear Systems with Delayed Feedbacks , 2007, ACC.

[3]  Miroslav Krstic,et al.  Delay-adaptive feedback for linear feedforward systems , 2010, Proceedings of the 2010 American Control Conference.

[4]  Anuradha M. Annaswamy,et al.  An adaptive Smith-controller for time-delay systems with relative degree n*≤2 , 2003, Syst. Control. Lett..

[5]  Anuradha M. Annaswamy,et al.  Spark-Ignition-Engine Idle Speed Control: An Adaptive Control Approach , 2011, IEEE Transactions on Control Systems Technology.

[6]  Frédéric Mazenc,et al.  Backstepping for Nonlinear Systems with Delay in the Input Revisited , 2011, SIAM J. Control. Optim..

[7]  Miroslav Krstic,et al.  Input Delay Compensation for Forward Complete and Strict-Feedforward Nonlinear Systems , 2010, IEEE Transactions on Automatic Control.

[8]  P. Pepe,et al.  A Lyapunov-Krasovskii methodology for ISS and iISS of time-delay systems , 2006, Syst. Control. Lett..

[9]  Anuradha M. Annaswamy,et al.  Guaranteed delay margins for adaptive control of scalar plants , 2012, 2012 IEEE 51st IEEE Conference on Decision and Control (CDC).

[10]  Frédéric Mazenc,et al.  Generating positive and stable solutions through delayed state feedback , 2011, Autom..

[11]  Anuradha M. Annaswamy,et al.  Guaranteed delay margins for adaptive systems with state variables accessible , 2013, 2013 American Control Conference.

[12]  Anuradha M. Annaswamy,et al.  Stable Adaptive Systems , 1989 .

[13]  Mrdjan Jankovic,et al.  Cross-Term Forwarding for Systems With Time Delay , 2009, IEEE Transactions on Automatic Control.

[14]  Delphine Bresch-Pietri,et al.  Adaptive trajectory tracking despite unknown input delay and plant parameters , 2009, Autom..

[15]  Miroslav Krstic,et al.  Stabilization of linear strict-feedback systems with delayed integrators , 2010, Proceedings of the 2010 American Control Conference.

[16]  Anuradha M. Annaswamy,et al.  Spark ignition engine fuel-to-air ratio control: An adaptive control approach , 2010 .