Guaranteed delay margins for adaptive systems with state variables accessible

Robust adaptive control for plants whose state variables are accessible in the presence of time-delays is established in this paper. It is shown that a standard adaptive controller with a projection algorithm ensures global boundedness of the overall adaptive system for a range of non-zero delays. The upper bound of such delays, i.e. the delay margin, is explicitly computed.

[1]  Peter J Seiler,et al.  Time-Delay Margin Analysis for an Adaptive Controller , 2012 .

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

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

[4]  Sanjeev M. Naik,et al.  Robust continuous-time adaptive control by parameter projection , 1992 .

[5]  Brian D. O. Anderson,et al.  Challenges of adaptive control-past, permanent and future , 2008, Annu. Rev. Control..

[6]  K. Narendra,et al.  Stable adaptive controller design, part II: Proof of stability , 1980 .

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

[8]  Ronald Hess,et al.  Review of Aircraft Control and Simulation, 2nd Ed. , 2004 .

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

[10]  Megumi Matsutani,et al.  Robust adaptive flight control systems in the presence of time delay , 2013 .

[11]  Chengyu Cao,et al.  Stability Margins of ${\cal L}_{1}$ Adaptive Control Architecture , 2010, IEEE Transactions on Automatic Control.

[12]  Hassan K. Khalil,et al.  Output feedback control of nonlinear systems using RBF neural networks , 2000, IEEE Trans. Neural Networks Learn. Syst..

[13]  Anuradha M. Annaswamy,et al.  Trustable autonomous systems using adaptive control , 2011, IEEE Conference on Decision and Control and European Control Conference.

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

[15]  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).