Masters Thesis

Anti-Windup Design for Uncertain Linear Systems

This thesis presents the use of the Popov and Circle criteria to stabilize an uncertain plant due to actuator magnitude saturation. Actuator saturation and the associated integral windup, are common problems for real life systems that can cause instability. The novel contribution for this thesis is that the Popov and Circle criterion are being used in conjunction with Quantitative Feedback Theory (QFT) to do what is known as anti-windup design. The main example used in this paper is a theoretical uncertain plant that contains an integrator. The results obtained are compared to a previous paper that uses the Describing Functions method to stabilize the same plant. Overall the Popov and Circle criterion can be used as starting points to stabilize a plant with actuator saturation.

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