Optimal Controller Synthesis and Dynamic Quantizer Switching for Linear-Quadratic-Gaussian Systems

In this article, we consider optimal controller synthesis of a quantized-feedback linear-quadratic-Gaussian (QF-LQG) system, where the measurements are to be quantized before being transmitted controller. The system is presented with several choices quantizers, along cost operating each quantizer. objective jointly select quantizers and that would maintain an balance between control performance quantization cost. Under certain assumptions, problem can decoupled into two optimization problems: one for other quantizer selection. We show that, similarly classical LQG problem, subproblem characterized by Riccati equations. On hand, selection policy found solving Markov decision process.