The Linear Quadratic Tracker on time scales
by Martin Bohner, Nick Wintz
International Journal of Dynamical Systems and Differential Equations (IJDSDE), Vol. 3, No. 4, 2011

Abstract: In this work, we study a natural extension of the Linear Quadratic Regulator (LQR) on time scales. Here, we unify and extend the Linear Quadratic Tracker (LQT). We seek to find an affine optimal control that minimises a cost functional associated with a completely observable linear system. We then find an affine optimal control for the fixed final state case in terms of the current state. Finally we include an example in disturbance/rejection modelling. A numerical example is also included.

Online publication date: Sat, 24-Jan-2015

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