Figure 3 Mixed H 2 /H∞ configuration
The LMI region for the pole placement is determined the use of the
command lmireg and we select the 1/2 plane region and the output region
is
And we use this region for the mixed H 2 /H∞ controller synthesis.
The transfer function of the controller is
Result and Discussion
In this section, the Simulink model design and simulation of the
solenoid based linearly movable armature system using H infinity
mixed-sensitivity and Mixed H 2 /H∞ with regional pole placement
controllers by comparing the two proposed controllers for tracking the
step and sine wave references displacement signals.
Comparison of the proposed controllers for tracking the step
reference displacement
The Simulink model of the solenoid based linearly movable armature
system using H infinity mixed-sensitivity and mixed H 2 /H∞ with
regional pole placement controllers for tracking the step references
displacement signal is shown in Figure 4 below.