Robust Finite-Time Observation Scheme Design for Uncertain Systems

In this paper, the problem of finite-time observer synthesis for linear systems with external disturbances is investigated. A new algorithm to the design of robust observer scheme is proposed and the respective observer gains are obtained. Existence conditions of finite-time observer are derived and a systematic algorithm for obtaining robust observers which guarantee the error convergence of the state estimates in pre-specified time is provided. Furthermore, the so-called "observer matching condition" of the unknown input observer can be relaxed once the time-invariant disturbance case is dealt with. Finally, a numerical example will show the effectiveness of the proposed results.