| Title |
Further Studies of A Proof of Utkin's Theorem for ITSMC of Second Order Uncertain Plants |
| Authors |
최명수(Myeong-Soo Choi) ; 이정훈(Jung-Hoon Lee) |
| DOI |
https://doi.org/10.5370/KIEE.2023.72.10.1208 |
| Keywords |
terminal sliding mode control; variable structure system; proof of Ukin's Theorem; transformation method |
| Abstract |
In this paper, the two sliding surface part transformations are investigated for ITSMC (integral terminal sliding mode control) of second-order uncertain linear plants when the input gain uncertainty of the system is not zero i.e. ??≠ as the further study of [33] and as the alternative methods of [33]. As highlighted in [33], the realm of designing ITSMCs encompasses five distinctive approaches: control input transformation, sliding surface full transformation, and three variations of sliding surface part transformations. While the discussion on the first three methods has been comprehensively covered in [33], this paper centers its focus on the previously unexplored last two transformations. These latter two transformations are presented as novel alternatives to the approaches detailed in [33]. The initial three transformations, as elucidated in [33], demonstrate a performance wherein the real output can be effectively predicted through the utilization of solutions derived from the ideal sliding dynamics. These solutions are thoughtfully pre-designed and predetermined through the application of the ideal sliding dynamics. This paper significantly contributes by presenting a comprehensive exploration of the last two transformation methods, achieving performance on par with the first three transformations described in [33]. These final two sliding surface part transformations stand as noteworthy design methodologies for ITSMCs with the same performance as in [33], offering alternative avenues in contrast to those laid out in [33].
The practical value of our key findings is effectively demonstrated through an illustrative example and an extensive simulation study, thereby underscoring the pertinence and applicability of our research outcomes. |