A Synthesis Theory for Multiple-Loop Oscillating Adaptive Systems.
Abstract
The multiple-loop self-oscillating adaptive (SOAL) system is presented as a natural, logical means of overcoming a serious limitation of the single-loop self-oscillating system (SOAS). Both structures have the property of zero sensitivity to plant high-frequency gain uncertainty Rho = k sub max/k sub min, the factor which is generally responsible for large 'cost of feedback'. It is however necessary to design these systems such that the response is essentially quasilinear to the desired class of command and disturbance signals. In the SOAS, Rho reappears as a significant factor in the quasilinear requirements which may, depending on the numbers involved, completely vitiate its banishment as an uncertainty factor. The development of a quantitative design theory for the SOAS pinpoints the two-loop SOAL extension needed to overcome this SOAS limitation, and the development of a similar SOAL quantitative design theory. In the latter, Rho disappears from both the adaptive and quasilinear conditions, but reappears as a factor in the rate of adaptation of the system. It may be banished from here too, by means of a three-loop self-oscillating system (SOANL), for which the SOAL design theory is applicable with minor extensions.
Document Details
- Document Type
- Technical Report
- Publication Date
- Jan 01, 1977
- Accession Number
- ADA045827
Entities
People
- Aharon Shapiro
- Isaac Horowitz
Organizations
- University of Colorado Boulder