
The paper deals with a system \( x'=Ax+Bu+Gu_d\), \(y= Cx\), where \(u_d\) is a persistent disturbance. It is assumed that the persistent disturbance has a finite representation \(u_d=a_1e_1f_1+\dots +a_le_lf_l\) with \(a_k\) constant scalars, \(e_k\) constant vectors, \(f_k\) functions with \(\|f_k\|=1\). The main result gives conditions when the bounded adaptive gain laws produce asymptotic output tracking. An application to almost periodic disturbances is considered. An illustrative example of the method is given.
disturbance, adaptive tracking, Adaptive or robust stabilization, Applied Mathematics, feedback system, output tracking, Perturbations in control/observation systems, Adaptive control/observation systems, disturbance rejection, linear time-invariant system, almost periodic disturbance, adaptive gain, Analysis
disturbance, adaptive tracking, Adaptive or robust stabilization, Applied Mathematics, feedback system, output tracking, Perturbations in control/observation systems, Adaptive control/observation systems, disturbance rejection, linear time-invariant system, almost periodic disturbance, adaptive gain, Analysis
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