Synthesis of a New Robust Exponential Sliding Mode Differentiator with its Observer Applications. Issue 1 (19th October 2018)

• Record Type: Journal Article
• Authors: Deepika, Deepika; Narayan, Shiv; Kaur, Sandeep
• Other Names: Karimi Hamid Reza guestEditor.; Wang Yueying guestEditor.; Shi Peng guestEditor.
• Is Part Of: Asian journal of control. Volume 21:Issue 1(2019)
• Page Start: 387
• Page End: 396
• Publication Date: 2018-10-19
• Subjects: Extended state observer (ESO) -- Lyapunov's theorem -- finite time convergence -- sliding mode control (SMC) -- sliding mode differentiator -- state observer (SO); Automatic control -- Periodicals; Control theory -- Periodicals; 629.805
• DOI: 10.1002/asjc.1943
• Languages: English
• ISSNs: 1561-8625

Abstract

Abstract: This paper proposes a new robust exponential sliding mode differentiator for estimating the ( n − 1) derivatives of a non‐linear function. Finite time convergence, robustness, and exactness are also ensured analytically with the proposed methodology. In addition, the results of the proposed sliding mode differentiator are extended to derive theorems for the novel state (SO) and extended state observers (ESO), which would estimate the system states as well as uncertainties recursively in finite time. Finally, three examples are implemented to validate the proposed methodologies and the obtained simulations are compared with the previously developed methods in literature.