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- Title
Robust integral feedback control based on interval observer for stabilising parameter‐varying systems.
- Authors
Faramin, Mostafa; Rezaie, Behrooz; Rahmani, Zahra
- Abstract
This study develops a novel method for designing a controller based on an interval observer to stabilise a class of non‐linear parameter‐varying systems. The interval observer, that provides estimates of lower and upper bounds on main states, is described in a non‐affine piecewise form with states and inputs‐dependent switching mechanisms. Non‐affine piecewise model of interval observer is converted to an affine piecewise model by applying a state variable change. Then, by choosing an appropriate piecewise quadratic Lyapunov function, the control input is developed to stabilise the interval observer in all operating regions regarding input‐to‐state stability that leads to stabilisation of the system. The Lyapunov analysis is based on the subspace‐partitions information and preserves the continuity of Lyapunov function in the boundaries of the regions. Compared with the existing interval observer‐based control methods, the proposed method considers less conservative assumptions and can be applied to a much broader class of parameter‐varying systems. The simulation results for several examples indicate the effectiveness of the proposed method.
- Publication
IET Control Theory & Applications (Wiley-Blackwell), 2019, Vol 13, Issue 15, p2455
- ISSN
1751-8644
- Publication type
Article
- DOI
10.1049/iet-cta.2018.5178