## Decentralized dynamic output feedback for robust stabilization of a class of nonlinear interconnected systems.(English)Zbl 1117.93057

Summary: The objective of this paper is to propose an approach to robust stabilization of systems which are composed of linear subsystems coupled by nonlinear time-varying interconnections satisfying quadratic constraints. The proposed algorithms, which are formulated within the convex optimization framework, employ linear dynamic feedback structure involving local Luenberger-type observers. It is also shown how the new methodology can produce improved results if interconnections have linear parts that are known a priori. Examples of output stabilization of inverted pendulums and decentralized control of a platoon of vehicles are used to illustrate the applicability of the design method.

### MSC:

 93D15 Stabilization of systems by feedback 93C10 Nonlinear systems in control theory 90C25 Convex programming 93B05 Controllability

LMI toolbox
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### References:

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