In this paper we address the closed loop switched stabilization problem for planar bilinear systems under the assumption that the control is one dimensional and takes only the values 0 and 1. We construct a class of state-static-memoryless stabilizing feedback laws which preserve the properties of open loop switching signals. In order to prove the stability of the implemented system, we use Lyapunov techniques for differential equations with discontinuous righthand side. Finally we point out some possible extensions of our result and compare it with related results previously proven by other authors.

Closed loop stabilization of planar bilinear switched systems / Bacciotti, Andrea; Ceragioli, Francesca Maria. - In: INTERNATIONAL JOURNAL OF CONTROL. - ISSN 0020-7179. - 79:1(2006), pp. 14-23. [10.1080/00207170500428885]

Closed loop stabilization of planar bilinear switched systems

BACCIOTTI, Andrea;CERAGIOLI, Francesca Maria
2006

Abstract

In this paper we address the closed loop switched stabilization problem for planar bilinear systems under the assumption that the control is one dimensional and takes only the values 0 and 1. We construct a class of state-static-memoryless stabilizing feedback laws which preserve the properties of open loop switching signals. In order to prove the stability of the implemented system, we use Lyapunov techniques for differential equations with discontinuous righthand side. Finally we point out some possible extensions of our result and compare it with related results previously proven by other authors.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11583/1396703
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