A modified quadratic cost problem and feedback stabilization of a linear system

W Kwon, A Pearson - IEEE Transactions on Automatic Control, 2003 - ieeexplore.ieee.org
W Kwon, A Pearson
IEEE Transactions on Automatic Control, 2003ieeexplore.ieee.org
This paper considers a feedback control law for linear systems based on a minimum energy
regulator problem with fixed terminal constraints on the state. A modification of this control
law based on a receding horizon notion is shown to be asymptotically stable and to result in
a new method for stabilizing linear time-varying systems, as well as extending some well-
known methods for stabilizing time-invariant systems by state variable feedback.
This paper considers a feedback control law for linear systems based on a minimum energy regulator problem with fixed terminal constraints on the state. A modification of this control law based on a receding horizon notion is shown to be asymptotically stable and to result in a new method for stabilizing linear time-varying systems, as well as extending some well-known methods for stabilizing time-invariant systems by state variable feedback.
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