An arbitrary-order exact differentiator with predefined convergence time bound for signals with exponential growth bound

卷:153

Article

关键词: FINITE-TIME;    STATE ESTIMATION;    OBSERVER DESIGN;    LINEAR-SYSTEMS;    SLIDING-MODES;    DISCRETIZATION;    STABILITY;    GAINS;   

DOI  :  10.1016/j.automatica.2023.110995

来源: SCIE

【 摘 要 】

There is a growing interest in differentiation algorithms that converge in fixed time with a predefined Upper Bound on the Settling Time (UBST). However, existing differentiation algorithms are limited to signals having an nth order Lipschitz derivative. Here, we introduce a general methodology based on time-varying gains to circumvent this limitation, allowing us to design nth order differentiators with a predefined UBST for the broader class of signals whose (n + 1)th derivative is bounded by a function with bounded logarithmic derivative. Unlike existing methods whose time-varying gain tends to infinity, our approach yields a time-varying gain that remains bounded at the convergence time. We show how this last property maintains exact convergence using bounded gains when considering a compact set of initial conditions and improves the algorithm's performance under measurement noise.(c) 2023 Elsevier Ltd. All rights reserved.

【 授权许可】

Free