Application of YBJ (Youla, Bongiorno and Jabr) Control Theory to the Initial Response Problem.
Abstract
In this thesis, two theorems were derived. First, the Initial Response Theorem describes the necessary and sufficient conditions for a series compensator for a feedback control system to simultaneously stabilize the system, and cause the initial system response to achieve prescribed constraints. A single input-single output, continuous time linear system is considered, with a delta function driving any rational transfer function in the s-domain being the system input. Design constraints can be placed on the initial response value, and on any of the derivatives (from the right) of the initial response. Second, the Initial Response Parameterization gives a parameterization of the complete set of compensators that will meet the given constraints whenever the conditions of the Initial Response Theorem are met. The area of Youla, Bongiorno and Jabr (YBJ) Control Theory was used for the derivations, but first required a system transformation to convert the initial value problem to one of stability. (Author)
Document Details
- Document Type
- Technical Report
- Publication Date
- May 01, 1986
- Accession Number
- ADA166756
Entities
People
- Paul J. Warden
Organizations
- Air Force Institute of Technology