Figure 2 Solenoid based linearly movable armature system with H infinity mixed sensitivity controller block diagram
Here in this system we choose the three weighting functions W1, W2 and W3 as
The Controller transfer function is
Mixed H 2 /H∞ with Regional Pole Placement Controller design
The mixed H 2 /H∞ control hassle is to reduce the H 2 norm of overall state remarks gains K such that what also satisfies the H∞ norm constraint. Mixed H 2 /H ∞ synthesis with regional pole placement is one example of multi-objective layout addressed by means of the LMI. The manipulate problem is sketched in Figure 3. The output channel z is associated with the H ∞ overall performance at the same time as the channel z 2 is associated with the H 2 overall performance.