Convergence of infinite dimensional sampled LQR problems - Theory and numerical resultsA theory is developed for the convergence of the closed-loop solution to infinite-dimensional discrete-time linear-quadratic regulator (LQR) problems on the infinite time interval to the solution of a corresponding continuous-time LQR problem as the length of the sampling interval tends toward zero. Convergence of solutions to the operator algebraic Riccati equation and corresponding optimal feedback control gains is guaranteed under appropriate uniform stabilizability and detectability conditions and consistent sampling. Also presented are numerical results involving the optimal LQ control of a heat or diffusion equation, a hereditary or delay differential equation, and a hybrid system of ordinary and partial differential equations describing the transverse vibration of a cantilevered Voigt-Kelvin viscoelastic beam with tip mass.
Document ID
19900053728
Acquisition Source
Legacy CDMS
Document Type
Conference Paper
Authors
Rosen, I. G. (University of Southern California Los Angeles, CA, United States)
Wang, C. (Southern California, University Los Angeles, CA, United States)