Component models – www.mvstudium.com RAND MODEL DESIGNER 7 Component models – www.mvstudium.com
Control system in Simulink style disturbance signal demand signal
Transfer function for controller Proportional (P) Integral (I) Proportional plus integral (PI) proportional plus derivative control (PD) Proportional-integral-differential (PID)
Transfer functions for plant amplifier lag element oscillating system integrating element differentiator
Oscillating system + PID
Plant
Controller
Results Plant Plant + Control
Example with discontinuous control Equations for phase portrait switching line
Component model with Simulink’s blocks
F==sign() sign()
Control system with Control and Plant components
Plant (controlled object)
Control
Arctg() Sign() hybrid continuous
Modeling time and accuracy depends on numerical method
«Physical» modelling (Modelica approach)
Results
Index-2 system
Solution of index-2
Using numerical differentiation
Hybrid system
Opened
Closed
Save model as class
Transform to hybrid system
Switching between Activates
Variable structure
B-Chart changes structure
Initial state
Step 1
Step 2
Step 3