Algorithms of adaptive disturbance compensation in linear systems with arbitrary input delay

Disturbance observer‐based consensus control of input‐delayed LTI systems with matched disturbances: a predictor feedback approach

“…Then, the disturbance parameterisation method in [36] can be employed. For the case that state information is available, the adaptive controllers proposed in [24, 25] can be used to compensate the unknown sinusoidal disturbance in the input channel. For the case that only output information is available, the output adaptive strategies given in [26, 27] can be applied to identify the frequencies of the matched multi‐sinusoidal disturbance.…”

Algorithms of adaptive tracking of unknown multisinusoidal signals in linear systems with arbitrary input delay

“…Proposition 3. Algorithm of adaptation (34) with state filter (5) and augmented error (31) in view of boundness of provides the following:…”

“…This is due to the fact that time delay is a common phenomenon observed in most real-world technical applications (see the survey done by Richard 22 and references therein). A number of solutions for rejecting external disturbances in systems with delay were proposed on the basis of combination of prediction-like techniques with indirect (identification based) [23][24][25] as well as with direct [26][27][28][29][30][31] adaptation. However, to the best of the authors' knowledge, there are no works resolving the problem of predictive adaptive tracking of reference signals generated by exosystems with unknown parameters.…”

“…35,36 So, in a general case, the problem of how to avoid negative influence of time delay on stability of adaptation is still an open problem. In this paper, we propose a solution of this problem with the use of a special modification of an augmented error scheme initially proposed by Gerasimov et al 31 Moreover, on the basis of modification of memory regressor extension 37 and dynamic regressor extension 38 schemes, we propose adaptation algorithms that provide a tunable rate of parametric convergence in adaptive systems with control delay.…”