A course of H∞0Econtrol theory
A course of H∞0Econtrol theory
Elements of information theory
Elements of information theory
A Unified Algebric Approach to Control Design
A Unified Algebric Approach to Control Design
Convex Optimization
Stabilizability of Stochastic Linear Systems with Finite Feedback Data Rates
SIAM Journal on Control and Optimization
Exponential stabilisability of finite-dimensional linear systems with limited data rates
Automatica (Journal of IFAC)
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This paper studies the optimal reference tracking problems of finite-dimensional, linear, time-invariant (LTI) systems with an additive white Gaussian noise (AWGN) channel between the controller and the plant. We consider two types of the reference signal: a random variable and a Brownian motion. The power of the tracking error is adopted as the measure of the performance and is to be minimized over all stabilizing two-parameter controllers. We assume the power of the channel input is limited and seek to solve the constrained optimization problem explicitly. It is shown that, besides the power constraint, the lowest power of the tracking error hinges closely on non-minimum phase zeros, the unstable poles and the plant gain.