Paper Info
Title
On the unknown input functional observers design: A polytopic Takagi-Sugeno approach
Abstract
In this paper, a step by step algorithm is given to design functional unknown input observer for continuous nonlinear systems under the Polytopic Takagi-Sugeno (T-S) framework. To nullify the effect of unknown input (UI), classical approach of decoupling the UI for the linear case is extended to the polytopic system. Applying the Lyapunov theory and the L <sub xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">2</sub> attenuation, Linear Matrix Inequalities (LMI)s conditions are achieved which are solved for feasibility to obtain observer design matrices. The novelty of the proposed approach consists in solving simultaneously both structural constraints and LMIs, which ensure a mean for the efficient design of the gains of the observers. To illustrate the proposed theoretical results, simulation example of a Waste Water Treatment Plant (WWTP), which is highly nonlinear and represented in a TS polytopic form with unmeasurable premise variables and unknown inputs, is discussed.
Year
DOI
Venue
2016
10.1109/MED.2016.7535889
2016 24th Mediterranean Conference on Control and Automation (MED)
Keywords
Field
DocType
functional unknown input observer design,continuous nonlinear systems,polytopic Takagi-Sugeno system,unknown input,UI,Lyapunov theory,L2 attenuation,linear matrix inequalities,observer design matrices,structural constraints,LMI,waste water treatment plant,WWTP,unmeasurable premise variables,unknown inputs
Lyapunov function,Mathematical optimization,Nonlinear system,Computer science,Control theory,Matrix (mathematics),Decoupling (cosmology),Control engineering,Observer (quantum physics)
Conference
ISSN
ISBN
Citations 
2325-369X
978-1-4673-8347-9
0
PageRank 
References 
Authors
0.34
11
4
Name
Order
Citations
PageRank
Souad Bezzaoucha183.74
Holger Voos211834.98
Mohamed Darouach326142.82
Jan Eric Dentler400.34