论文信息 - Asynchronous control of unstable linear systems via L2-gain-based transformations

Asynchronous control of unstable linear systems via L2-gain-based transformations

This paper presents a method to analyze the stability of the feedback interconnection of a class of systems when the sampled signal associated to the feedback interconnection is asynchronous. In order to guarantee a stable interconnection, a combined transformation based on L2 - gain criteria is introduced before sampling and sending the information through the network. We include a synthesis method to obtain the transformation in the side of the system, the transformation in the side of the controller, assuming that the controller is given, and the maximum sample time preserving stability of the interconnection.

Francisco R. Rubio | Manuel López-Martínez | Juan M. D. Cano

[1] W. Haddad,et al. Exponentially dissipative nonlinear dynamical systems: a nonlinear extension of strict positive realness , 2003 .

[2] Eva M. Navarro-López,et al. Several dissipativity and passivity implications in the linear discrete-time setting , 2005 .

[3] Mark W. Spong,et al. Bilateral teleoperation: An historical survey , 2006, Autom..

[4] Carlos Canudas-de-Wit,et al. Passivity of Interconnected Asynchronous Discrete-Time Systems , 2008 .

[5] A. Schaft. L2-Gain and Passivity Techniques in Nonlinear Control. Lecture Notes in Control and Information Sciences 218 , 1996 .

[6] Stephen P. Boyd,et al. Control of asynchronous dynamical systems with rate constraints on events , 1999, Proceedings of the 38th IEEE Conference on Decision and Control (Cat. No.99CH36304).