Delay-Dependent State Estimation for Time Delay Systems
نویسندگان
چکیده
In this article, an observer with delay-dependent stability conditions has been presented for time delay systems with unknown inputs, where the time delay terms exist in the state and output of the system. The designing of this observer, whose performance index is the H2 norm, has been formulated as a nonlinear optimization problem. By using the finite characterization of a Lyapunov functional equation, sufficient conditions have been proposed to guarantee the existence of a desirable H2 filter. This finite characterization can be calculated by means of a matrix exponential function. Several numerical examples have also been simulated to show the effectiveness and simplicity of the proposed observer. Key-Words: time delay system, Lyapunov functional, state delay system, H2 filter, observer, Kalman filter
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