Novel robust control design for unstable systems with dual pole and dual zero

In this note, a novel robust control design for a class of unstable systems with dual pole and dual zero is addressed. In the algorithm, αfeedback node was moved from the interior of the controlled plant to its right-hand side. Then, the closed-loop gain shaping algorithm was used to design the feedback transfer function. Consequently, controller and the controlled plant have clear physical meaning and are easily tuned. Simulation results show that the control effects are better than for the previous modification, the system can have rapid settling time with no overshoot, zero steadystate error and satisfactory robust stability to model perturbation and disturbance. The method has the advantages of simple and efficient design, and it was also successfully applied to control static unstable missile.