Rate allocation for quantized control over noisy channels

• To achieve satisfactory overall performance, optimal rate allocation in a networked control system with highly limited communication resources is instrumental. In this paper, a rate allocation technique for state feedback control in linear dynamic systems over a noisy channel is proposed. The method consists of two steps: (i) the overall cost is expressed as a function of rates at all time instants by means of high-rate quantization theory, and (ii) a constrained optimization problem to minimize the overall distortion is solved. It is shown that a non-uniform quantization is in general the best strategy for state feedback control over noisy channels. Monte Carlo simulations illustrate the proposed scheme, which is shown to have good performance when compared to arbitrarily selected rate allocations.

Subject headings

TEKNIK OCH TEKNOLOGIER  -- Elektroteknik och elektronik -- Reglerteknik (hsv//swe)

ENGINEERING AND TECHNOLOGY  -- Electrical Engineering, Electronic Engineering, Information Engineering -- Control Engineering (hsv//eng)

NATURVETENSKAP  -- Matematik -- Beräkningsmatematik (hsv//swe)

NATURAL SCIENCES  -- Mathematics -- Computational Mathematics (hsv//eng)

Keyword

Best strategy

Constrained optimization problems

High-rate quantization

Limited communication

Linear dynamic system

Monte Carlo Simulation

Networked control systems

Noisy channel

Non-uniform quantization

Optimal rate allocation

Overall costs

Quantized control

Rate allocation

Ad hoc networks

Channel capacity

Computer simulation

Constrained optimization

Control system analysis

Dynamical systems

Feedback

Feedback control

Linear control systems

Monte Carlo methods

Wireless telecommunication systems

State feedback

Automatic control

Reglerteknik

Optimization, systems theory

Optimeringslära, systemteori

Publication and Content Type

ref (subject category)

kon (subject category)