H/sub /spl infin// control of multirate sampled-data systems: a Riccati equation solution

A Riccati-equation based state-space solution to the H/sub /spl infin//-optimal control problem for periodic multirate sampled-data systems is presented. The solution is characterized by two standard discrete algebraic Riccati equations with a set of associated matrix positive definiteness condition...

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Bibliographic Details
Main Authors: Sagfors, M.F., Toivonen, H.T., Lennartson, B.
Format: Conference Proceeding
Language:English
Subjects:
Chemical engineering
Control systems
Differential equations
Digital control
Frequency
Kalman filters
Riccati equations
Signal sampling
Time measurement
Time varying systems
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Summary:A Riccati-equation based state-space solution to the H/sub /spl infin//-optimal control problem for periodic multirate sampled-data systems is presented. The solution is characterized by two standard discrete algebraic Riccati equations with a set of associated matrix positive definiteness conditions and coupling criteria. The equations are derived by discretizing a pair of coupled periodic Riccati differential equations with jumps, which characterize the H/sub /spl infin//-optimal controller. An important feature of the proposed solution is the fact that the so-called causality constraint, which is imposed on the controller structure in lifting-based solutions, is automatically satisfied. Instead, the solutions to the algebraic Riccati equations are required to satisfy a set of matrix positive definiteness and coupling conditions, which are easy to check.
ISSN:0191-2216
DOI:10.1109/CDC.1997.657085