Exponential Stability Of Controllers For Fluid-structure Interactions Using Reduced Order System Models With Residual Mode Filters
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M. J. Balas, C. W. Hindman & M. Lesoinne
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.
reduced order models (ROMs), residual mode filters (RMFs).