Title :
Continuous robust control for a class of uncertain MIMO nonlinear systems
Author :
Wang, Z. ; Behal, A.
Author_Institution :
Dept. of EECS, Univ. of Central Florida, Orlando, FL, USA
Abstract :
In this paper, a continuous robust feedback control is designed for a class of high-order multi-input multi-output (MIMO) nonlinear systems with two degrees of freedom containing unstructured nonlinear uncertainties in the drift vector and parametric uncertainties in the high frequency gain matrix, which is allowed to be non-symmetric in general. Given some mild assumptions on the system model, a singularity-free continuous robust tracking control law is designed that is shown to be semi-globally asymptotically stable under full-state feedback through a Lyapunov stability analysis.
Keywords :
Lyapunov methods; MIMO systems; asymptotic stability; continuous systems; control system synthesis; matrix algebra; nonlinear control systems; position control; robust control; state feedback; uncertain systems; Lyapunov stability analysis; continuous robust feedback control; degrees of freedom; drift vector; full-state feedback; high frequency gain matrix; high-order multi-input multi-output systems; parametric uncertainties; semiglobally asymptotic stability; singularity-free continuous robust tracking control law; uncertain MIMO nonlinear systems; unstructured nonlinear uncertainties; Adaptive control; Control design; MIMO; Matrix decomposition; Robustness; Uncertainty; Vectors; Lyapunov-based Control; Nonlinear Control; Robust Control;
Conference_Titel :
Decision and Control and European Control Conference (CDC-ECC), 2011 50th IEEE Conference on
Conference_Location :
Orlando, FL
Print_ISBN :
978-1-61284-800-6
Electronic_ISBN :
0743-1546
DOI :
10.1109/CDC.2011.6161166