November 18, 2016, Webb 1100

We study the problem of stabilizing a switched linear system with a completely unknown disturbance using sampled and quantized state feedback. The switching is assumed to be slow enough in the sense of combined dwell-time and average dwell-time, each individual mode is assumed to be stabilizable, and the data-rate is assumed to be large enough but finite. Extending the approach of reachable-set approximation and propagation from an earlier result on the disturbance-free case, we develop a communication and control strategy that achieves a variant of input-to-state stability with exponential decay. An estimate of the disturbance bound is introduced to counteract the unknown disturbance, and a novel algorithm is designed to properly adjust the estimate and recover the state when it escapes the range of quantization.

Guosong Yang received the B.Eng. degree in Electronic Engineering from Hong Kong University of Science and Technology, Kowloon, Hong Kong, in 2011, and the M.S. degree in Electrical and Computer Engineering from University of Illinois at Urbana-Champaign, Urbana, IL, where he is currently pursuing the Ph.D. degree in Electrical and Computer Engineering. His research interests include switched and hybrid systems, control with limited information, and nonlinear control theory.