Fixing the State-Feedback Gain by Choice of Closed-Loop Eigensystem.
Abstract
The purpose of this short paper is to round out recent results in the literature on fixing the state-feedback gain by choice of closed-loop eigensystem. The constraints on attainable eigensystems and a formula for the feedback gain are derived in a direct manner, and interpreted using the idea of eigen-inputs. The well-known formula for the feedback gain of an optimal quadratic regulator is re-examined in this light; using a polynomial-matrix fraction, a matrix generalization of the scalar root-square characteristic equation is also obtained. (Author)
Document Details
- Document Type
- Technical Report
- Publication Date
- Jan 01, 1977
- Accession Number
- ADA050341
Entities
People
- G. Verghese
- Thomas Kailath
Organizations
- Stanford University