State Anti-windup: A New Methodology for Tackling State Constraints at Both Synthesis and Implementation Levels
CoRR(2024)
Abstract
The anti-windup compensation typically addresses strict control limitations
in control systems. However, there is a clear need for an equivalent solution
for the states/outputs of the system. This paper introduces a novel methodology
for the state anti-windup compensator. Unlike state-constrained control
methods, which often focus on incorporating soft constraints into the design or
fail to react adequately to constraint violations in practical settings, the
proposed methodology treats state constraints as implement-oriented soft-hard
constraints. This is achieved by integrating a saturation block within the
structure of the safety compensator, referred to as the state anti-windup
(SANTW) compensator. Similar to input anti-windup schemes, the SANTW design is
separated from the nominal controller design. The problem is formulated as a
disturbance rejection one to directly minimize the saturation. The paper
develops two Hinf optimization frameworks using frequency-domain solutions and
linear matrix inequalities. It then addresses constraints on both inputs and
states, resulting in a unified Input-State Anti-windup (IS-ANTW) compensator
synthesized using non-smooth Hinf optimization. This method also offers the
flexibility of having a fixed-order compensator, crucial in many practical
applications. Additionally, the study evaluates the proposed compensator's
performance in managing current fluctuations from renewable energy sources
during grid faults, demonstrating its effectiveness through detailed
Electromagnetic Transient (EMT) simulations of grid-connected DC-AC converters.
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