Stabilisation of switched systems with sampled and quantised output feedback

The authors study the stabilisation problem of switched linear systems with sampled and quantised output feedback. They assume that every mode of the plant is stabilisable and observable and that a feedback gain is given for each mode. The controller receives the information about the active mode of the plant only at each sampling instant. Therefore, the controller mode may not synchronise with the plant mode after intersample switching. They construct update rules of quantisation scales to avoid the saturation of the quantiser due to mode mismatches. An encoding and control strategy is designed to guarantee asymptotic stability of the closed-loop system under slow-switching assumption described by dwell time and average dwell time.