Sliding mode multiple observer for perturbed output nonlinear systems

Hfaïedh, Kaïs; Dahech, Karim; Massaoudi, Yosra; Damak, Tarak

doi:10.1109/sta.2015.7505117

Cited by 4 publications

(1 citation statement)

References 18 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Initially, the multiple observers have been used for failure detection [10,11] and switching control [12], where the multiple observers are designed for candidate plant models. In the research area of multiple models' estimation, the aim of the paper [13] was the state estimation for perturbed output nonlinear systems; a Lyapunov based sliding mode multiple observer is presented, the proof of the observer stability being ensured by a suitable choice of estimation gains-solutions of linear matrix inequalities (LMIs). In [14], the authors focus on the state estimation of a nonlinear system described by a Takagi-Sugeno (T-S) multiple model having unknown inputs and outputs; the proposed approach consists of a mathematical transformation which enables 2 Complexity the "conversion" of the unknown outputs into "pseudo" unknown inputs-eliminated through the designed multiple observer.…”

Section: Introductionmentioning

confidence: 99%

Design of Reduced‐Order Multiple Observers for Uncertain Systems with Unknown Inputs

Lungu

2018

Complexity

View full text Add to dashboard Cite

The paper presents the design of a new reduced-order multiple observer for the estimation of the state associated with TakagiSugeno systems with unknown inputs, this being only the second reduced-order multiple observer ever designed. The design of reduced-order multiple observers which can achieve the finite-time state reconstruction for nonlinear systems described by multiple models is a niche area problem; the author of this paper continuing his work started with the introduction of the reducedorder multiple observer concept. The new multiple observer is a combination of a typical reduced-order observer for linear-time invariant multivariable systems and a full-order multiple observer for Takagi-Sugeno systems. The sufficient stability conditions of the observer are derived via the Lyapunov theory and its robustness is improved by means of a novel and efficient method which cancels the negative effect of the uncertainties appearing in the system. To validate the suggested design algorithm, the steps of the design procedure have been summarized and software implemented for the concrete case of a light aircraft lateral-directional motion.

show abstract