Discrete Systems

The synthesis of optimal real-time control for nonlinear discrete systems

V. M. Kuntsevich, M. M. Lychak

Kiev

Abstract: An approach is proposed to real-time determination of optimal control parameters and the Lyapunov — Bellman function for one class of nonlinear discrete-time management systems and a certain type of performance functional. The procedure uses the approximation of the Lyapunov — Bellman function in a small neighbourhood of the current value for the system state vector as a quadratic trinomial.

UDC: 62-505.5


Received: 29.06.1976

 English version: Automation and Remote Control, 1978, 38:11, 1632–1638

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