LQG Control Performance with Low Bitrate Periodic Coding

Several specific low-bitrate coding strategies are examined through their effect on linear–quadratic (LQ) control performance. By limiting the subject to these methods, we able identify principles underlying for control, a of significant recent interest but few tangible, i.e., implementable, results. In particular, consider quantized output signal deploying period-two codes differing delay-versus-accuracy tradeoff. The quantification performance is via LQ cost over long finite horizon up specified average escape time . Infinite-horizon stabilization replaced by mean-time-before-failure property, which new viewpoint allows contact with uncoded controllers. feedback system comprises coder–decoder in path between and state estimator, followed linear state-variable feedback, as optimal memoryless case. static quantizer treated functional composition an infinitely staircase function saturation. This permits analysis subdivide into estimator computations, seemingly independent criterion, escape time evaluation, ties back choice saturation bound. An example studied, illustrates role objective determining efficacy using schemes. results mesh well those observed coding. However, introduction realization-based novelty departing significantly from mean square computations adaptive techniques.