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On the Linear Quadratic Regulator for Descriptor Systems
Tohru Katayama,Katsuki Minamino 대한전자공학회 1992 대한전자공학회 학술대회 Vol.1992 No.10
This paper deals with the linear quadratic optimal regulator problem for descriptor systems without performing a preliminary transformation for a descriptor system. We derive a generalized Riccati differential equation (GRDE) based on the two-point boundary value problem for a Hamiltonian equation. We then obtain an optimal feedback control and the optimal cost in terms of the solution of GRE. A simple example is included.