PROCESSING AND STORAGE
 MATHEMATICAL MODELLING AND DATA ANALYSIS
 NONLINEAR CONTROL SYSTEMS
A. Semion Memory of microcontroller usage method for nonlinear regulators with state dependent coefficients realization
 PATTERN RECOGNITION
 INTELLIGENT SYSTEMS
 COMPUTING SYSTEMS AND NETWORKS
 АPPLICATION
A. Semion Memory of microcontroller usage method for nonlinear regulators with state dependent coefficients realization

### Abstract.

This article addresses the control task for nonlinear system that can be presented as nonlinear differential system with linear structure and parameters depending on object state. Usage of quadratic cost function allows developing control with coefficients that include solution of Riccati equation in real time. The rather common way is to solve Riccati equation at rate of object functioning which requires high performance controller what is not appropriative in some applications. The method, represented in this article, is useful when system state space is compact and performance or weight of control hardware is critical. It is offered to calculate regulator coefficients in advance and to keep them in memory of the control device. Calculation of coefficients quantity and memory size depending on accuracy of calculations is provided. The mathematical simulation of aircraft controlled by such regulator was made for verification.

### Keywords:

quaternion algebra, state dependent coefficients, Riccati equation, nonlinear dynamic systems.

PP. 64-70.

References

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