Tracking and Control of Gauss–Markov Processes over Packet-Drop Channels with Acknowledgments
| Autor: | Babak Hassibi, Victoria Kostina, Ashish Khisti, Anatoly Khina |
|---|---|
| Rok vydání: | 2019 |
| Předmět: |
FOS: Computer and information sciences
0209 industrial biotechnology Control and Optimization Minimum mean square error Computer Networks and Communications Computer science Network packet Information Theory (cs.IT) Computer Science - Information Theory Estimator Markov process 020206 networking & telecommunications 02 engineering and technology AC power Linear-quadratic-Gaussian control symbols.namesake 020901 industrial engineering & automation Control and Systems Engineering Control system Signal Processing 0202 electrical engineering electronic engineering information engineering symbols Algorithm Coding (social sciences) |
| Zdroj: | IEEE Transactions on Control of Network Systems |
| ISSN: | 2372-2533 |
| Popis: | We consider the problem of tracking the state of Gauss-Markov processes over rate-limited erasure-prone links. We concentrate first on the scenario in which several independent processes are seen by a single observer. The observer maps the processes into finite-rate packets that are sent over the erasure-prone links to a state estimator, and are acknowledged upon packet arrivals. The aim of the state estimator is to track the processes with zero delay and with minimum mean square error (MMSE). We show that, in the limit of many processes, greedy quantization with respect to the squared error distortion is optimal. That is, there is no tension between optimizing the MMSE of the process in the current time instant and that of future times. For the case of packet erasures with delayed acknowledgments, we connect the problem to that of compression with side information that is known at the observer and may be known at the state estimator - where the most recent packets serve as side information that may have been erased, and demonstrate that the loss due to a delay by one time unit is rather small. For the scenario where only one process is tracked by the observer-state estimator system, we further show that variable-length coding techniques are within a small gap of the many-process outer bound. We demonstrate the usefulness of the proposed approach for the simple setting of discrete-time scalar linear quadratic Gaussian control with a limited data-rate feedback that is susceptible to packet erasures. |
| Databáze: | OpenAIRE |
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