Optimization and Systems Theory Seminar
Friday, September 21 2007, 11.00-12.00, Room 3721, Lindstedtsvägen 25

Hisaya Fujioka
Department of Applied Analysis and Complex Dynamical Systems,
Kyoto University, Japan
E-mail: fujioka@i.kyoto-u.ac.jp

Stability analysis for a class of networked/embedded control systems:
continuous- and discrete-time approaches

Motivated by the widespread use of networked and/or embedded control systems, stability analysis problem is considered for sampled-data feedback control systems with uncertainly time-varying sampling intervals. In the first part the problem is cast into a robustness analysis problem, where the nominal part is a continuous-time FDLTI system and then the perturbation is a time-varying delay. It is shown that the IQC technique improves small-gain type results in the literature. In the second part of the talk, the problem is again cast to a robustness problem,but the related periodic sampled-data system is taken as the nominal part.

A stability analysis algorithm is developed based on the robustness against the variation of sampling intervals derived by the small-gain condition.

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