Exponential Stability Of Controllers For
Fluid-structure Interactions Using Reduced
Order System Models With Residual Mode Filters
Author(s)
M. J. Balas, C. W. Hindman & M. Lesoinne
Abstract
The control of systems described by large-order models typically requires
construction and use of reduced order models (ROMs) for the purpose of
feedback controller design and implementation. However, controllers based on
these ROMs can have deleterious interactions with unmodeled modes, and some
sort of stability compensation is needed, such as Residual Mode Filters (RMFs).
In this paper we prove that the exponential closed loop stability using RMFs can
be achieved for systems with actuators, as well as for controllers designed only
using a ROM of the actuator. Our application is the control of fluid-structure
interactions to alleviate aero-elastic flutter.
Keywords: reduced order models (ROMs), residual mode filters (RMFs).
1 Introduction
In the last few years, advances in computing power and algorithm development
have allowed the creation of highly accurate nonlinear aeroelastic simulation
codes [1,2]. These codes typically have fluid meshes with a very large number
of nodes, and a lesser (but still large) number of structural nodes. System orders
in the millions of degrees of freedom are not uncommon. Designing control
systems using these models is not feasible with current techniques due to these
large sizes. Instead, some method or combination of methods for reduced order
modeling must be employed to create a low order model of the aeroelastic
system.
Keywords
reduced order models (ROMs), residual mode filters (RMFs).
Related Book
Other papers in this volume
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