The Signal-Parametrical Invariance as a New Direction of the Disturbance Decoupling Problem

• Published in: 2007 Siberian Conference on Control and Communications pp. 37 - 50
• Main Author: Stukach, O.V.
• Format: Conference Proceeding
• Language: English
• Published: IEEE 01-04-2007
• Subjects: Communication system control; Control systems; defect of invariance; Design optimization; differential transformation; disturbance decoupling; invariant operator; Linear systems; Nonlinear equations; Nonlinear systems; Signal design; Signal synthesis; Signal-parametrical invariance; Steady-state
• ISBN: 1424403464; 9781424403462
• DOI: 10.1109/SIBCON.2007.371296

A system with weekly depending on effects and external factors is one of the major problems for engineering. There are a lot of approaches to synthesis of such systems, but essential progress in the decision is not present yet. In the paper, the concept of signal- parametrical invariance (disturbance decoupling) of nonlinear system design and application of this concept as optimization criterion is investigated. Conditions of invariance of the response system parameters to the effect amplitude are determined. Connection of classical and para- metrical invariance is considered. Expression for defect of invariance is received and directions of it reduction are considered. Optimization by criterion of signal-parametrical invariance is discussed.