Name
Title | ||
|---|---|---|
Stabilizing a system with an unbounded random gain using only a finite number of bits. |
Abstract | ||
|---|---|---|
We study the stabilization of an unpredictable linear control system where the controller must act based on a rate-limited observation of the state. More precisely, we consider the system $X_{n+1} = A_n X_n + W_n - U_n$, where the $A_n$u0027s are drawn independently at random at each time $n$ from a known distribution with unbounded support, and where the controller receives at most $R$ bits about the system state at each time from an encoder. We provide a time-varying achievable strategy to stabilize the system in a second-moment sense with fixed, finite $R$. While our previous result provided a strategy to stabilize this system using a variable-rate code, this work provides an achievable strategy using a fixed-rate code. The strategy we employ to achieve this is time-varying and takes different actions depending on the value of the state. It proceeds in two modes: a normal mode (or zoom-in), where the realization of $A_n$ is typical, and an emergency mode (or zoom-out), where the realization of $A_n$ is exceptionally large. |
Year | Venue | Field |
|---|---|---|
2018 | arXiv: Systems and Control | Topology,Control theory,Finite set,Linear control systems,Control theory,Encoder,Normal mode,Mathematics |
DocType | Volume | Citations |
Journal | abs/1805.05535 | 1 |
PageRank | References | Authors |
0.37 | 0 | 4 |
Name | Order | Citations | PageRank |
|---|---|---|---|
| Kostina Victoria | 1 | 221 | 30.70 |
| Yuval Peres | 2 | 523 | 53.68 |
| Gireeja Ranade | 3 | 88 | 14.45 |
| Mark Sellke | 4 | 14 | 2.11 |