Title page for ETD etd-02012006-141752

Type of Document Dissertation
Author Ellis, Graham K.
URN etd-02012006-141752
Title H[infinity] and LQG optimal control for the rejection of persistent disturbances : analysis, design and experiment
Degree PhD
Department Mechanical Engineering
Advisory Committee
Advisor Name Title
Robertshaw, Harry H. Committee Chair
Baumann, William T. Committee Member
Leonard, Robert G. Committee Member
Russell, David L. Committee Member
Wicks, Alfred L. Committee Member
  • Control theory
Date of Defense 1992-02-05
Availability restricted

This dissertation presents a discussion of the asymptotic behavior and estimation structure of the H∞ central controllers in terms of the well-known behavior of the LQG controller and gives some insight into the physics of the H ∞ controller that is often presented in an unclear manner in the current literature. The connections to LQ game theory that underlie this confusion are discussed. Augmented systems that are typically used in disturbance rejection problems are also analyzed. Additionally, a controlled output equation for disturbance rejection is developed based on the physics of the problem rather than the typical ad hoc approaches of the past. These controlled output equations are also appropriate for LQG compensators. In order to verify the proposed approach, an experiment in harmonic and narrowband disturbance rejection using a simply supported steel plate is presented. Discrete-time LQG, and continuous-time H∞ and LQG controllers that have been transformed to discrete-time are used to determine the attainable performance of each approach. The results indicate that the H ∞ controller provides more damping than either LQG approach and that discrete-time design procedures are necessary for maximum disturbance rejection.

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