Singular Control Systems
Design of discrete H2-optimal reduced-order controllers
Automation and Remote Control
The full information and state feedback H2 optimal controllers for descriptor systems
Automatica (Journal of IFAC)
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The problem of designing an H2-optimal control was solved for the differentialalgebraic system. The controller is based on the minimal-dimension observer. Solution of the design problem comes to solving two Riccati equations having one the order of the dimension of the "slow" subsystem of the original differential-algebraic system and the other, a reduced order. The resulting controller was represented in the class of ordinary systems, which simplifies its realization. An example of designing an H2-optimal controller was given.