Stability Margins of Adaptive Control Architecture

C Cao, N Hovakimyan - IEEE Transactions on Automatic …, 2010 - ieeexplore.ieee.org
IEEE Transactions on Automatic Control, 2010ieeexplore.ieee.org
This technical note presents the L 1 adaptive control architecture for systems in the presence
of unknown high-frequency gain with known sign, time-varying unknown parameters and
disturbances. The L 1 adaptive controller leads to uniform performance bounds for the
system's input and output signals, which can be systematically improved by increasing the
adaptation rate. For constant unknown parameters, this result leads to analytically
computable time-delay margin of a semiglobal nature.
This technical note presents the L 1 adaptive control architecture for systems in the presence of unknown high-frequency gain with known sign, time-varying unknown parameters and disturbances. The L 1 adaptive controller leads to uniform performance bounds for the system's input and output signals, which can be systematically improved by increasing the adaptation rate. For constant unknown parameters, this result leads to analytically computable time-delay margin of a semiglobal nature.
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