Level Crossing Sampling in Feedback Stabilization under Data-Rate Constraints

This paper introduces a novel event-driven sampled-data feedback scheme where the plant output samples are triggered by the crossings - with hysteresis - of the signal through its quantization levels. The plant and controller communicate over binary channels that operate asynchronously and are assumed to be error and delay-free. The paper proposes two systematic output feedback control design strategies. The first strategy consists in the digital emulation of a previously designed analog controller. The second strategy is a simple direct design that drives the plant state to the origin in finite time after a total transmission of 2n + 2 bits, where n is the order of the plant

I. INTRODUCTION

A number of recent works consider the problem of feedback stabilization over a communication channel with data-rate constrains (see [1] for an overview). A fundamental result in this area states that there exist a positive lower bound on the data-rate [bits per second] required for closed loop stability of a linear time invariant, continuous-time plant with poles in the open right-half plane [2], [3].