Fault estimation for time-varying control systems with aperiodic sample

For a class of linear time-varying system with non-uniform sample, we discrete the system by combination of both norm invariant and step invariant transformation, taking the problem of non-uniform sample transformed into discrete time varying system problem. Based on designed the fault estimator, we construct Lyapunov function, to get the essential condition of the error equation asymptotic stability and the fault estimation adaptive weighting parameter L0, Γ and θ. At last, a numerical example is given to illustrate the effectiveness of the proposed fault estimator by Matlab LMI Toolbox..