1 research outputs found
Optimal Boundary Control of 2x2 Linear Hyperbolic PDEs
The present paper develops an optimal linear quadratic boundary controller
for linear hyperbolic partial differential equations (PDEs) with
actuation on only one end of the domain. First-order necessary conditions for
optimality is derived via weak variations and an optimal controller in
state-feedback form is presented. The linear quadratic regulator (LQR)
controller is calculated from differential algebraic Riccati equations.
Numerical examples are performed to show the use of the proposed method