Finite-Time Control for Stochastic Systems with Input and Measurement Powers of Unknown Time-Varying Function Forms

This article addresses the finite-time tracking control of stochastic systems with time-varying input and measurement powers. Compared to the existing results with known input powers, the input powers of the system studied in this paper are unknown time-varying functions, which makes the design of control strategy extremely difficult. Additionally, since the signals will deviate during actual measurements, this article also considers the problem of measurement power drifts. To resolve these two problems, this article constructs a new controller by establishing new error variables, which guarantees the finite-time stability of the stochastic system. Finally, the efficiency of the proposed control strategy is confirmed by simulation experiments.