We found a match
Your institution may have access to this item. Find your institution then sign in to continue.
- Title
Stability analysis of a class of uncertain switched time‐delay systems with sliding modes.
- Authors
Kani, Mohammad Hasan H.; Yazdanpanah, Mohammad Javad; Markazi, Amir H.D.
- Abstract
Summary: This paper presents sufficient conditions to ensure the exponential stability of uncertain switched time‐delay systems with time‐delayed state‐dependent switching conditions, which can model high speed supercavitation vehicles (HSSVs). Based on the intrinsic properties of HSSVs, cavity can be represented by a relation between the states and time‐delayed states of the system. Moreover, a sliding behavior can be occurred at the cavity boundary in HSSVs. Therefore, the main contribution of this paper is to develop a set of LMI stability conditions in the presence of time‐delayed states in the linear state‐dependent switching signal and absorbing sliding modes in the state space, simultaneously. In addition, because of the possible existing uncertainties in HSSVs, another set of LMI‐based sufficient conditions is derived in order to analyze the stability of switched time‐delay systems with additive norm bounded uncertainties. The application of the proposed theorems are also validated through numerical examples. Finally, the stability of a two‐degrees‐of‐freedom longitudinal description of an HSSV is shown using the proposed stability theorems.
- Subjects
TIME delay systems; TIME delay estimation; MATHEMATICAL models; NUMERICAL analysis; LYAPUNOV functions
- Publication
International Journal of Robust & Nonlinear Control, 2019, Vol 29, Issue 1, p19
- ISSN
1049-8923
- Publication type
Article
- DOI
10.1002/rnc.4369