论文信息 - ROBUSTNESS OF MULTIVARIABLE NON-LINEAR ADAPTIVE FEEDBACK STABILIZATION

ROBUSTNESS OF MULTIVARIABLE NON-LINEAR ADAPTIVE FEEDBACK STABILIZATION

Abstract Here considered is the stabilazing property of the adaptive nonlinear dynamic feedback control proposed in ( Hmamed and Radouane, 1983 ) for multivariable systems in the presence of uncertainty. A multivariable system is decomposed into a set of single-input subsystems and the second Luenberger canonical form is obtained. This representation is suitable for non-linear adaptive control of unknown systems. The measure of robustness of the proposed scheme is defined in terms of bounds of allowable perturbations such that the stability is preserved. It is shown that the system can always remain stable for a large class of perturbations.

L. Radouane | A. Hmamed

[1] E. Davison. The robust control of a servomechanism problem for linear time-invariant multivariable systems , 1976 .

[2] W. Wonham,et al. Synthesis of multivariable regulators: The internal model principle , 1974 .

[3] D. Luenberger. Canonical forms for linear multivariable systems , 1967, IEEE Transactions on Automatic Control.

[4] R. V. Patel,et al. Robustness of linear quadratic state feedback designs in the presence of system uncertainty. [application to Augmentor Wing Jet STOL Research Aircraft flare control autopilot design] , 1977 .

[5] Naresh K. Sinha,et al. Some canonical forms for linear multivariable systems , 1976 .

[6] G. Langholz,et al. Lower and upper bounds for the quadratic cost of linear regulators , 1979 .

[7] Gideon Langholz,et al. Lower bounds on the quadratic cost of optimal regulators , 1978, Autom..

[8] C. Storey,et al. Insensitivity of Optimal Linear Control Systems to Persistent Changes in Parameters , 1966 .