145. adaptive output feedback for flow-induced vibrations of a membrane at high mach numbers

Department: Mechanical & Aerospace Engineering
Research Institute Affiliation: Center for Control Systems and Dynamics (CCSD)
Faculty Advisor(s): Miroslav Krstic

Primary Student
Name: Huan Yu
Email: huy015@ucsd.edu
Phone: 858-534-5670
Grad Year: 2019

We address the problem of adaptive output-feedback stabilization for flow-induced vibrations of a membrane at high Mach numbers. To stabilize the flow-induced aeroelastic instability, boundary control is applied at the trailing edge of the membrane and measurement is taken at the fixed boundary. The membrane is infinite in the spanwise direction and the streamwise vibrations are modeled by a one-dimensional wave Partial Differential Equation (PDE) with an aerodynamic forcing term. Based on Piston theory, the term is represented by unknown constant coefficients multiplying an anti-damping term. We then transform the wave PDE to a one-dimensional 2 $ imes$ 2 first-order hyperbolic PDEs with constant coupling coefficients. Before introducing the adaptive output feedback controller for the wave PDE, we recall an alternative way to design a nonadaptive explicit output feedback controller. To deal with the absence of both full-state measurements and parameter knowledge in adaptive design, an observer canonical form is obtained through change of variables and backstepping transformation. The observer canonical form enable us to design an explicit state observer and then an output-feedback controller. We employ gradient-based parameter estimators for both in-domain and boundary parameters. For the closed loop system, we achieve convergence of the state of the wave PDE to zero. We validate our result with a simulation.

Industry Application Area(s)
Aerospace, Defense, Security | Control Systems

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