H∞ filter design for state estimation and unknown inputs reconstruction of a class of nonlinear systems
2014 (English)In: 19th IFAC World Congress on International Federation of Automatic Control: IFAC 2014, Cape Town, South Africa 24 - 29 August 2014, 2014, 61-66 p.Conference paper (Refereed)
We consider a novel method to design a H∞ filter for a class of nonlinear systems subject to unknown inputs. First, we rewrite the system dynamics as a descriptor system. Then, we design a robust H∞ reduced-order filter to estimate both state variables and unknown inputs at the same time. Based on a Lyapunov functional, we derive a sufficient condition for existence of the designed filter which requires solving a nonlinear matrix inequality. The achieved condition is further formulated in terms of a linear matrix inequality (LMI) that is straightforward to solve by popular methods. Finally, the proposed filter is illustrated with an example.
Place, publisher, year, edition, pages
2014. 61-66 p.
, IFAC proceedings series, ISSN 0741-1146 ; 47:3
Research subject Control Engineering
IdentifiersURN: urn:nbn:se:ltu:diva-35562DOI: 10.3182/20140824-6-ZA-1003.02363Local ID: a22bed4f-a498-4c94-affa-9ae1ac1fb551OAI: oai:DiVA.org:ltu-35562DiVA: diva2:1008815
IFAC World Congress : 25/08/2014 - 29/08/2014
Godkänd; 2014; 20140401 (tgu)2016-09-302016-09-30Bibliographically approved