TY - GEN
T1 - Effect of non-zero initialization error on the performance bounds in ℒ 1 adaptive control architecture
AU - Cao, Chengyu
AU - Hovakimyan, Naira
PY - 2007
Y1 - 2007
N2 - The ℒ 1 adaptive control architecture introduced in [1-4] ensures that the input and the output of an uncertain linear system track the input and output of a desired linear system during the transient phase, in addition to asymptotic tracking. Analysis of the ℒ 1 adaptive controller in [1-4] assumes zero trajectory initialization error. In this paper, we prove that non-zero trajectory initialization error leads to exponentially decaying transient errors in both control signal and system response. Simulation results verify the theoretical findings.
AB - The ℒ 1 adaptive control architecture introduced in [1-4] ensures that the input and the output of an uncertain linear system track the input and output of a desired linear system during the transient phase, in addition to asymptotic tracking. Analysis of the ℒ 1 adaptive controller in [1-4] assumes zero trajectory initialization error. In this paper, we prove that non-zero trajectory initialization error leads to exponentially decaying transient errors in both control signal and system response. Simulation results verify the theoretical findings.
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M3 - Conference contribution
AN - SCOPUS:37248999817
SN - 1563479044
SN - 9781563479045
T3 - Collection of Technical Papers - AIAA Guidance, Navigation, and Control Conference 2007
SP - 2822
EP - 2835
BT - Collection of Technical Papers - AIAA Guidance, Navigation, and Control Conference 2007
T2 - AIAA Guidance, Navigation, and Control Conference 2007
Y2 - 20 August 2007 through 23 August 2007
ER -