REAL-TIME QUANTUM MEASUREMENT-FEEDBACK CONTROL: A NON-SMOOTH TIME DELAY CONTROL APPROACH

摘要

This paper solves the problem of real-time measurementfeedbackrncontrol for quantum systems, in which the timernto compute the filter-based control input is taken into accountrnby considering the input delay. It starts with arnnew Lyapunov-LaSalle-like theorem for delay-dependentrnstochastic stability of a class of time delay stochastic nonlinearrnsystems. Non-smooth time delay control is then constructedrnto compensate for the control-computation time,rnthat is known but arbitrarily long, while globally stabilizernthe quantum filters almost surely. The non-smooth propertyrnenables the proposed control to deal with the symmetricrntopology of filter state space. The effectiveness of nonsmoothrntime delay control is illustrated through the controlrndesign for the Spin?1/2 systems. Simulation results arernpresented and discussed.