Convex l2 synthesis for multidimensional systems

Raffaello D'Andrea, Geir E. Dullerud, Sanjay Lall

Research output: Contribution to journalConference articlepeer-review


This paper deals with the design of control systems for multidimensional systems in the Roesser state space format with an l2 induced gain performance criterion. The region of analyticity of the closed loop system can be pre-specified, corresponding to the relaxation of the standard causality requirement (or equivalently, stability requirement) found in H optimization. These techniques may be used for designing spatially distributed controllers for spatially distributed systems. The main technical contribution of the paper is the extension of the synthesis results of Packard in [11] and of Apkarian and Gahinet in [1] to non-definite scalings. The solution to the problem takes the form of a linear matrix inequality.

Original languageEnglish (US)
Pages (from-to)1883-1888
Number of pages6
JournalProceedings of the IEEE Conference on Decision and Control
StatePublished - Dec 1 1998
Externally publishedYes
EventProceedings of the 1998 37th IEEE Conference on Decision and Control (CDC) - Tampa, FL, USA
Duration: Dec 16 1998Dec 18 1998

ASJC Scopus subject areas

  • Control and Systems Engineering
  • Modeling and Simulation
  • Control and Optimization

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