Title :
LMI conditions for designing rational nonlinear observers
Author :
Dezuo, Tiago ; Trofino, Alexandre
Author_Institution :
Dept. of Autom. & Syst. Eng., Fed. Univ. of Santa Catarina (UFSC), Florianopolis, Brazil
Abstract :
This paper presents a technique for designing rational nonlinear observers for rational nonlinear systems. The approach is based on a Lyapunov function that is quadratic in the estimation error and rational in the system states. The design conditions are formulated as Linear Matrix Inequalities (LMIs). If the conditions are satisfied, then the estimation error is guaranteed to asymptotically converge to zero for initial conditions on an estimated region of attraction. An optimization procedure for enlarging the region of attraction is also provided. An example is used to illustrate the results.
Keywords :
linear matrix inequalities; nonlinear systems; observers; LMI conditions; Lyapunov function; design conditions; estimation error; linear matrix inequalities; optimization procedure; quadratic; rational nonlinear observers; rational nonlinear systems; system states; Asymptotic stability; Estimation error; Lyapunov methods; Matrix decomposition; Nonlinear systems; Observers; Vectors; LMIs; Observers for nonlinear systems; Optimization;
Conference_Titel :
American Control Conference (ACC), 2014
Conference_Location :
Portland, OR
Print_ISBN :
978-1-4799-3272-6
DOI :
10.1109/ACC.2014.6858805
