Title
On the existence of linear optimal control with output feedback
Document Type
Article
Publication Date
1-1-1990
Abstract
A necessary and sufficient condition is established for the existence of an output feedback u = -Ky that is LQ optimal with respect to some nonsingular quadratic cost, a fact that entails robustness in the closed-loop systems. It is shown that if the system (with equal number of inputs and outputs) is strict minimum phase and has nonsingular high-frequency gain, then there exists a linear static output feedback that minimizes a certain quadratic cost functional. The minimization of H∞ norm of the closed-loop system with output feedback is also discussed.
Publication Source (Journal or Book title)
SIAM Journal on Control and Optimization
First Page
711
Last Page
719
Recommended Citation
Gu, G. (1990). On the existence of linear optimal control with output feedback. SIAM Journal on Control and Optimization, 28 (3), 711-719. https://doi.org/10.1137/0328041