Brief Some applications of randomized algorithms for control system design

Authors:
Vijay V. Patel;Girish Deodhare;T. Viswanath
Affiliations:
Centre for Artificial Intelligence and Robotics, Raj Bhavan Circle, High Grounds, Bangalore 560 001, India;Centre for Artificial Intelligence and Robotics, Raj Bhavan Circle, High Grounds, Bangalore 560 001, India;Faculty of Mathematical Sciences, University of Twente, P.O. Box 217, 7500 AE, Enschede, Netherlands
Venue:
Automatica (Journal of IFAC)
Year:
2002

Citing 3
Cited 2

Simultaneous Stabilization of Three or More Plants: Conditions on the Positive Real Axis Do Not Suffice

SIAM Journal on Control and Optimization
Randomized algorithms for robust controller synthesis using statistical learning theory

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Survey A survey of computational complexity results in systems and control

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Some Problems of Robust Control of a Stochastic Object

Automation and Remote Control
Randomized algorithms for robust controller synthesis using statistical learning theory

Automatica (Journal of IFAC)

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Abstract

In this paper a few ''difficult'' problems related to simultaneous stabilization of three plants (equivalent to a certain problem related to unit interpolation in H"~) have been addressed through the framework of randomized algorithms. These problems which were proposed by Blondel (Simultaneous Stabilization of Linear Systems, Springer, Berlin, 1994) and Blondel and Gevers (Math. Control Signals Systems 6 (1994) 135) concern the existence of a controller.