Abstract
The solvability conditions for positive real and *-norm controller synthesis problems are expressed in terms of linear matrix inequalities that include the compensator gains implicitly. A variety of issues, including explicit expressions for the solutions, the issue of strictly proper vs proper controllers and relaxing full rank assumptions on the penalty matrices can be discussed. Extension to systems with parametric uncertainties is also discussed.
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Nguyen, T., Köse, I.E. & Jabbari, F. A New Characterization for Positive Real and *-Norm Controllers. Dynamics and Control 8, 215–230 (1998). https://doi.org/10.1023/A:1008200802711
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DOI: https://doi.org/10.1023/A:1008200802711