Title :
Region of attraction comparison for gradient projection anti-windup compensated systems
Author :
Teo, Justin ; How, Jonathan P.
Author_Institution :
DSO Nat. Labs., Singapore, Singapore
Abstract :
The gradient projection anti-windup (GPAW) scheme was recently proposed for saturated multi-input-multi-output (MIMO) nonlinear systems driven by MIMO nonlinear controllers, a topic recognized as an open problem in a recent survey paper. Thus far, stability results for GPAW compensated systems are restricted to the simple case of a saturated first order linear time invariant (LTI) plant driven by a first order LTI controller. Here, we present a region of attraction (ROA) comparison result for general GPAW compensated regulatory systems. The ROA comparison result is demonstrated on a simple planar nonlinear system, which also highlights the limitations of existing state-of-the-art anti-windup results.
Keywords :
MIMO systems; compensation; gradient methods; linear systems; nonlinear control systems; GPAW compensated regulatory system; MIMO nonlinear controller; ROA comparison; attraction comparison region; first order LTI controller; first order linear time invariant plant; gradient projection antiwindup compensated system; gradient projection antiwindup scheme; planar nonlinear system; region of attraction; saturated multiple input multiple output nonlinear system; state-of-the-art antiwindup result; Estimation; Lyapunov methods; MIMO; Nonlinear systems; Switches; Vectors;
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.2011.6161160
