Data-driven controller validation

• Presented at: 15th IFAC Symposium on System Identification, St. Malo, France, July 6-8 2009
• Published in: 15th IFAC Symposium on System Identification
• : , 2009

This paper proposes a data-driven test for closed-loop stability. The test is based on a non-conservative stability condition that can be verified without having to actually implement the controller. It uses a set of measurements from the plant but does not rely on a plant model. For infinite data length, a validated controller is guaranteed to stabilize the plant. In practice, however, only a finite number of noisy data can be used, and thus only an estimate of the stability condition can be obtained. A reliable stability test needs to take this estimation uncertainty into account, which introduces conservatism. In the proposed test, two variables are available to control the trade-off between reliability and conservatism in an intuitive way. A simulation example shows the effectiveness of the stability test.

Keywords: Closed-loop stability test ; convex optimization ; H-infinity norm estimation ; controller validation

Reference

• LA-CONF-2008-057

• URL: http://www.sysid2009.org/

Record created on 2008-11-10, modified on 2012-03-21