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  4. Research of dynamic system with unstable subsystem that has one root in the right half-plane

Research of dynamic system with unstable subsystem that has one root in the right half-plane

MMC.
2014;
Volume 1, Number 2
: pp. 156-162
https://doi.org/10.23939/mmc2014.02.156
Received: December 08, 2014

Math. Model. Comput. Vol. 1, No. 2, pp. 156-162 (2014)

Authors:
  1. L. Demkiv
1
Lviv Polytechnic National University

A two-mass system is investigated. It is considered as a set of dynamical subsystems. To switch between these subsystems, fuzzy controller is synthesised. The research is held for the case when one subsystem is unstable having one root in the right-hand side of the plane. The stability of the overall system, depending on the stability of the subsystems of which it is composed is examined. For this, a 3D hodograph is used. Quality indexes of the system with unstable subsystem are calculated. The case when the system operates under external perturbations is consider. The influence of perturbations value and controller parameters of the transient of the system is investigated. The gain in the case of usage of the unstable subsystem is pointed out.

dynamical system
automatic control
fuzzy control
unstable subsystem
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