# System-level, Input-output and New Parameterizations of Stabilizing Controllers, and Their Numerical Computation

28 May 2020 Zheng Yang Furieri Luca Kamgarpour Maryam Li Na

It is known that the set of internally stabilizing controller $\mathcal{C}_{\text{stab}}$ is non-convex, but it admits convex characterizations using certain closed-loop maps: a classical result is the {Youla parameterization}, and two recent notions are the {system-level parameterization} (SLP) and the {input-output parameterization} (IOP). In this paper, we address the existence of new convex parameterizations and discuss potential tradeoffs of each parametrization in different scenarios... (read more)

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# Categories

• OPTIMIZATION AND CONTROL
• SYSTEMS AND CONTROL
• SYSTEMS AND CONTROL