Title :
Multivariable MRAC Design Without Gain Symmetry Conditions Using a Stabilizing Multiplier
Author :
Liu Hsu ; Battistel, Andrei ; Nunes, Eduardo V. L.
Author_Institution :
COPPE-Fed. Univ. of Rio de Janeiro, Rio de Janeiro, Brazil
Abstract :
A new multivariable MRAC design for plants of arbitrary relative degree, which does not require a stringent symmetry assumption related with the plant high frequency gain matrix, is presented. In contrast to previous results, the new solution does not involve additional parametrization and filtering, being thus close in structure and complexity to conventional solutions. Instead of the fragile symmetry assumption, a less restrictive and robust condition is required, which can be achieved using a multiplier.
Keywords :
control system synthesis; matrix algebra; model reference adaptive control systems; multivariable control systems; arbitrary relative degree; gain symmetry conditions; model reference adaptive control; multiplier; multivariable MRAC design; plant high frequency gain matrix; robust condition; stabilizing multiplier; symmetry assumption; MIMO; Polynomials; Stability analysis; Symmetric matrices; Transmission line matrix methods; Vectors; Arbitrary relative degree; mimo adaptive control; multivariable adaptive control; output feedback; stabilizing multiplier; uncertain systems;
Journal_Title :
Automatic Control, IEEE Transactions on
DOI :
10.1109/TAC.2013.2285774