To appear in Control Engineering Practice, 2007
Anti-windup for marginally stable plants and its application to open water channel control systems
L. Zaccarian, Y. Li, E. Weyer, M. Cantoni and A. Teel
Abstract
Actuator saturation can have a significant impact on control system
performance. In particular, when actuators saturate because of large
initial condition mismatch at startup, or because of large
disturbances, the controller can suffer from so-called integrator
windup. This paper describes the application of recent anti-windup and
bumpless transfer (AWBT) compensation techniques to the problem of
open-water channel control. This is non-trivial in light of the
(marginally) unstable nature of uncontrolled open water channels,
which for the purposes of controller design, can modelled as a
concatenation of integrators, linked by saturation-prone gates used to
regulate the flow of water. AWBT compensator design is considered
within the context of both continuous- and discrete-time controllers
and models. All simulation studies are carried out using an
experimentally validated, high-fidelity model of the Haughton Main
Channel in Queensland, Australia. The AWBT compensation schemes
considered achieve excellent performance.
Key words:
Anti-windup, bumpless transfer, multi-variable control, marginally stable system, open water channels, LQ control, H-infinity loop-shaping.
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