Conference paper
Symplectic Möbius integrators for LQ optimal control problems
Jason Frank, Sergiy Zhuk
CDC 2014
This paper presents a generalization of the minimax state estimation approach for singular linear Differential-Algebraic Equations (DAE) with uncertain but bounded input and observation's noise. We apply generalized Kalman Duality principle to DAE in order to represent the minimax estimate as a solution of a dual control problem for adjoint DAE. The latter is then solved converting the adjoint DAE into ODE by means of a projection algorithm. Finally we represent the minimax estimate in the form of a linear recursive filter. © 2012 IFAC.
Jason Frank, Sergiy Zhuk
CDC 2014
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