Title :
State estimation of unknown input polynomial systems: A sum of squares approach
Author :
Chibani, A. ; Chadli, M. ; Belhaouane, M.M. ; Benhadj Braeik, N.
Author_Institution :
Adv. Syst. Lab., Univ. of Carthage, La Marsa, Tunisia
Abstract :
In this paper, we address the problem of state estimating for a class of nonlinear systems that can be described by polynomial models subject to unknown inputs. The proposed observer is developed to guarantee the asymptotic convergence of the estimation error using the Lyapunov method and numerical tools. Sufficient design conditions are given in Sum Of Squares (SOS) formulation with equalities constraints for both continuous and discrete time cases. Thus, the given design conditions are numerically solved via the SOSTOOLS software and a semi definite program (SDP) solver. Finally, illustrative examples are given to provide the effectiveness of the proposed methodology.
Keywords :
Lyapunov methods; continuous time systems; control engineering computing; control system synthesis; discrete time systems; mathematical programming; nonlinear control systems; polynomials; state estimation; Lyapunov method; SDP solver; SOSTOOLS software; asymptotic convergence; continuous time case; design conditions; discrete time case; input polynomial systems; nonlinear systems; semidefinite program solver; state estimation; sum-of-squares approach; Estimation error; Mathematical model; Observers; Polynomials; Symmetric matrices; Vectors; Lyapunov method; Nonlinear systems; SOS; unknown input observer;
Conference_Titel :
Control and Automation (MED), 2014 22nd Mediterranean Conference of
Conference_Location :
Palermo
Print_ISBN :
978-1-4799-5900-6
DOI :
10.1109/MED.2014.6961543
