1. Exponential stability for formation control systems with generalized controllers: A unified approach.
- Author
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Sun, Zhiyong, Mou, Shaoshuai, Anderson, Brian D.O., and Cao, Ming
- Subjects
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EXPONENTIAL stability , *CONTROL theory (Engineering) , *RIGID dynamics , *DISTANCE geometry , *STOCHASTIC convergence , *GRAPH theory - Abstract
This paper discusses generalized controllers for distance-based rigid formation shape stabilization and aims to provide a unified approach for the convergence analysis. We consider two types of formation control systems according to different characterizations of target formations: minimally rigid target formation and non-minimally rigid target formation. For the former case, we firstly prove the local exponential stability for rigid formation systems when using a general form of shape controllers with certain properties. From this viewpoint, different formation controllers proposed in previous literature can be included in a unified framework. We then extend the result to the case that the target formation is non-minimally rigid, and show that exponential stability of the formation system is still guaranteed with generalized controllers. [ABSTRACT FROM AUTHOR]
- Published
- 2016
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