H2H2 control of continuous-time uncertain linear systems with input quantization and matched disturbances

For uncertain linear systems with input quantization and matched disturbances, this paper introduces an H2H2 state-feedback controller, which comprises linear and nonlinear parts. The former part plays a role in determining the fundamental characteristics of the system against model uncertainties. The latter part eliminates the effect of input quantization and matched disturbances. In other words, each component of the latter part is designed as an integer multiple of the quantization level, which provides a clue to maintaining the decreasing property of a Lyapunov function, associated with the H2H2 cost, despite input quantization and matched disturbances.