Szukana fraza: [Abstract = "The control performance depends on the estimation quality\; indeed, it is important to accurately and rapidly estimate the states and the faults. This task is then performed with an Adaptive Fast State and Fault Observer \(AFSFO\) for the first case, and a Proportional\-Integral Observer \(PIO\) in the second. Stability conditions are established with Lyapunov theory and expressed in a Linear Matrix Inequality \(LMI\) formulation to ease the design of FTC. Furthermore, relaxed stability conditions are given with the use of Polya\?s theorem. Some simulation examples are given in order to illustrate the proposed approaches."]