High Gain Feedback Systems as Singular Singular-Perturbation Problems.
Abstract
As an example of a singular perturbation problem, we solve the high gain system dx/dt = A(t)x + B(t)u, u = gC(t)x as g = 1/mu goes to infinity. Our primary assumption requires BC to have fixed rank k < n and no unstable eigenvalues. We find an asymptotic solution of the form x(t, mu = X(t, mu) + Pi(tau, mu) where tha fast transient Pi goes to 0 as tau = t/mu goes to infinity. (Author)
Document Details
- Document Type
- Technical Report
- Publication Date
- Apr 01, 1977
- Accession Number
- ADA038467
Entities
People
- R. E. O'malley Jr.
Organizations
- University of Arizona