Recursive Quantization for $\mathcal{L}_2$ Stabilization of a Finite Capacity Stochastic Control Loop with Intermittent State Observations

• DOI: 10.48550/arxiv.2409.03398
• Publication Date: 2024-09-05
• Authors: S. Karmakar; Ritwik Kumar Layek
• Keywords: Finite state; Stochastic quantization

The problem of $\mathcal{L}_2$ stabilization a state feedback stochastic control loop is investigated under different constraints. discrete time linear invariant (LTI) open plant chosen to be unstable. additive white Gaussian noise assumed stationary. link between the and controller finite capacity stationary channel, which puts constraint on bit rate transmission. Moreover, observed only intermittently keeping some time. In this manuscript both scalar vector plants Bernoulli Markov intermittence models are investigated. Novel bounds parameters obtained ensure stability. novel recursive quantization algorithms developed implement scheme all Suitable illustrative examples provided elucidate main results.