Robust quantised control of hybrid stochastic systems based on discrete-time state and mode observations

Abstract

ABSTRACTThis paper considers robust quantised feedback control for hybrid stochastic systems based on discrete-time state and mode observations. All of the existing results in this area design the quantised feedback control based on continuous observations of the state and mode for all time t ≥ 0. This is the first paper where we propose to use the quantised feedback control based on discrete-time observations of the state and mode. The key reason for this is to reduce the burden of communication by using not only the quantisation (i.e. in the direction of state axis), but also discrete-time observations of state and mode (i.e. in the direction of time axis). Thus, the designed quantised feedback controllers have to be based on discrete-time state and mode observations. Clearly, the new quantised feedback controllers are more practical and lower of cost in practice.