이차 불확실 플랜트의 적분 터미널 슬라이딩 모드 제어를 위한 Utkin 정리 증명의 후속 연구

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.