Continuous finite- and fixed-time high-order regulators

• Published in: Journal of the Franklin Institute Vol. 353; no. 18; pp. 5001 - 5012
• Main Authors: Basin, Michael, Shtessel, Yuri, Aldukali, Fathi
• Format: Journal Article
• Language: English
• Published: Elmsford Elsevier Ltd 01.12.2016; Elsevier Science Ltd
• Subjects: Control algorithms; Control systems; Control theory; Convergence; D C motors; Integrators; Nonlinear systems; Regulators; Settling

The contribution of this paper is twofold. First, an upper estimate of the convergence (settling) time is calculated for the finite-time convergent control algorithm that drives the state of a series of integrators to the origin. To the best of our knowledge, such an estimate is obtained for the fir...