7 citations · 16 across the 12 of their papers we have counts for
16 papers
Boundary Stabilization of a Bending and Twisting Wing by Linear Quadratic Gaussian Theory
Arthur J. Krener
We first consider the stabilization of the bending and twisting of a rectangular cantilever beam of moderate to high aspect ratio using full state feedback boundary control. Our ap…
Linear Quadratic Regulation for First Order Hyperbolic PDEs
Arthur J. Krener
We consider transport processes that are modeled by first order hyperbolic partial differential equations. Our goal is to find a full state feedback that makes a given reference pr…
Linear Quadratic Gaussian Synthesis for a Heated/Cooled Rod Using Point Actuation and Point Sensing
Arthur J. Krener
We consider a rod that is heated/cooled and sensed at multiple point locations. To stabilize it to a constant temperature we set up a Linear Quadratic Regulator that we explicitly…
Boundary Control of the Beam Equation by Linear Quadratic Regulation
Arthur J. Krener
We present and solve a Linear Quadratic Regulator (LQR) for the boundary control of the beam equation. We use the simple technique of completing the square to get an explicit solut…
Boundary Control of the Wave Equation via Linear Quadatic Regulation
Arthur J. Krener
We consider the Linear Quadratic Regulation for the boundary control of the one dimensional linear wave equation under both Dirichlet and Neumann activation. For each activation we…
Optimal Boundary Control of a Nonlinear Reaction Diffusion Equation via Completing the Square and Al'brekht's Method
Arthur J. Krener
The two contributions of this paper are as follows. The first is the solution of an infinite dimensional, boundary controlled Linear Quadratic Regulator by the simple and construct…