Lecture 14 Representation of automatic control system in space mode. Status variables scheme

Lecture 14
Representation of automatic control system in space mode. Status variables
scheme.


Figure 2.1. The system is on the verge of stagnation.
2) Complex roots have a negative real part, ie
Ikkinchi tartibli sistemaning 0<ξ<1 bo‘lganda fazo traektoriyasi va o‘tish jarayoni

2.2-picture
4) The roots are real, negative, that is, the system is stable. Spatial trajectory and transition of a second-order system at x> 0

2.2-picture
5) The roots are really positive, that is (the system is unstable). Spatial trajectory and transition of a second-order system when x <-1
6. True roots have different signs. This can happen when a2 <0 (system is unstable).
Spatial trajectory and transition of a second-order system a ξ > 1

2.6-picture