ALGORITHMS FOR COMBINED REGULAR SYNTHESIS OF CONTROLLER PARAMETERS IN CONTROL SYSTEMS FOR DYNAMIC OBJECTS

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ALGORITHMS FOR COMBINED REGULAR SYNTHESIS OF CONTROLLER PARAMETERS IN CONTROL SYSTEMS FOR DYNAMIC OBJECTS

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Nonlinear control system that includes m-dimensional input control signal and extended (n+s) - dimensional state vector, the last s components of which form a vector of unknown parameters θ satisfying a general difference equation is being considered. The quality criterion is determined by the loss function. The optimal control must satisfy the Bellman equation with respect to the optimal loss function. To be defined an approximate solution that preserves an active use of information. For this purpose, the system is linearized in accordance to the nominal trajectory. This problem is seen as incorrectly stated. The values of the preliminary data are mainly approximate, and conditions under which the approximation can be performed are given. Once approximation is made, equations that are solved using iterative methods are obtained. Based on iterative regularization principle when approximations on residual criterion to be taken, then the steepest descent method will be a regularization algorithm for solving the problem of calculating the vector of controller parameters. The presented algorithms make it possible to regularize the problem of estimating the controller parameters under consideration and obtain estimates of the required quantities that are stable to priori unknown external disturbances.

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# approximate solution# optimal control# nonlinear system# extended state vector# incorrectly posed problem# iterative algorithms

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https://eroi.uz/11.0008/A0925-0009

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