Near Optimal H-Infinity Performance in the Decentralized Setting
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Date
2015-09-15
Authors
RANGANATHAN, THANANJAYAN
Journal Title
Journal ISSN
Volume Title
Publisher
University of Waterloo
Abstract
In this thesis we consider the use of a linear periodic controller (LPC) for the control of
linear time-invariant (LTI) plants in the decentralized setting with an H-infinity performance
criterion in mind. If a plant has an unstable decentralized fixed mode (DFM), it is well
known that no decentralized LTI controller can stabilize it, let alone provide good performance,
which is why we turn to more complicated controllers. Here we show that if the
graph associated with the plant is strongly connected and certain technical conditions on
the relative degree hold, then we can design a decentralized LPC to provide a level of H-infinity
performance as close as desired to the centralized H-infinity optimal performance; this will be
the case even if the plant has an unstable decentralized fixed mode (DFM). The proposed
controller in each channel consists of a sampler, a zero-order-hold, and a discrete-time
linear periodic compensator, which makes it easy to implement.
Description
Keywords
Decentralized Control, Optimal Control, H-Infinity