USE OF THE COMPANION TRANSFORMATION IN PARAMETER OPTIMIZATION AND ADAPTIVE CONTROL,
Abstract
The transformation to companion canonic form for single-input, linear, time-invariant systems is shown to have important applications in the sensitivity analysis of control systems as well as in parameter optimization and model reference adaptive control problems. Two previously unknown properties of a system in companion form are demonstrated. These are the Total Symmetry Property of the sensitivity matrix of a system in companion form and the Complete Simultaneity Property. The latter states that all the sensitivity functions of the states of a companion form system can be generated by linear combinations of the signals on one sensitivity model of the system and the system states. (Author)
Document Details
- Document Type
- Technical Report
- Publication Date
- Jul 01, 1968
- Accession Number
- AD0672758
Entities
People
- Dennis Frank Wilkie
Organizations
- University of Illinois Urbana–Champaign