Stable Algorithms for Adaptation of Objects with Control Delay
An approach to solve the problem of synthesizing stable algorithms for adaptation of dynamic objects with a control delay is proposed. It was demonstrated that the problem of calculating a pseudo-inverse matrix for object control is generally unstable with respect to matrix perturbations. To solve equation for control law, A.N. Tikhonov’s methods of regularization and singular decomposition are used based on the minimal pseudo-inverse matrix. The proposed computational schemes enable the synthesis of object adaptation stable algorithms with control delay and provide high quality control processes.
KeywordsObjects with control delay Adaptation Stable algorithms Minimal pseudo-inverse matrix method Regularization method Singular decomposition