A parameter-perturbation adaptive control system

Theoretical and simulation studies of a parameter-perturbation self-adaptive system are discussed. A number of system block diagrams are included, showing diverse applications of parameter-perturbation adaptive techniques. A particular study has been made using error signals based on an ideal model, and the concept of high-frequency perturbation of the model has been introduced. A linearized mathematical model of the adaptive loop for the system-adaptive scheme has been obtained using time-varying system analysis. Experimental verification of the mathematical model has been obtained with an analog computer. It is shown that increased speed of adaptive loop response is possible with high-frequency perturbation of model parameters. Simulation studies have also shown the feasibility of adaptive control with random system input, and random parameter disturbances.