Fixing the State-Feedback Gain by Choice of Closed-Loop Eigensystem.
STANFORD UNIV CALIF INFORMATION SYSTEMS LAB
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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
- Theoretical Mathematics