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.