Abstract
Sliding mode quantisers (SMQs), where signals are converted to switching signals represented by the sequence of binary values
's and
's, are increasingly being used in various applications including control of power converters, networked control systems (NCSs), one-bit control processing, etc. This paper derives the stability conditions of nonlinear control system embedded with SMQ-based Δ-M. The equivalence conditions of the proposed SMQ, which assure that its binary outputs are equivalent to its inputs, are established. The results of theoretical analysis are validated through simulation considering an example of the underwater vehicle control system, where the transmission bit-rate is limited by
. The results of the simulation demonstrates that the quantised feedback signals effectively control the system and achieves both the desired specifications and the bandwidth reduction.