Dynamic behavior of the discrete-time double integrator with saturated locally stabilizing linear state feedback laws

Tao Yang; Antonie Arij Stoorvogel; Ali Saberi

doi:10.1002/rnc.2855

Dynamic behavior of the discrete-time double integrator with saturated locally stabilizing linear state feedback laws

Tao Yang, Antonie Arij Stoorvogel, Ali Saberi

Research output: Contribution to journal › Article › Academic › peer-review

20 Citations (Scopus)

6 Downloads (Pure)

Abstract

The main contribution of this paper is to completely characterize the dynamic behavior of the discrete-time double integrator with a saturated locally stabilizing linear state feedback law. In continuous-time setting, any linear state feedback control law that locally stabilizes the double integrator also globally stabilizes the system in the presence of actuator saturation. In discrete-time setting, the equivalent of the double integrator does not have the same property. In this paper, we completely characterize the global behavior of saturated locally stabilizing linear state feedback laws for the discrete-time double integrator.

Original language	Undefined
Pages (from-to)	1899-1931
Number of pages	33
Journal	International journal of robust and nonlinear control
Volume	23
Issue number	17
DOIs	https://doi.org/10.1002/rnc.2855
Publication status	Published - 2013

Keywords

EWI-23868
IR-87574
METIS-300107
Nonlinear Systems
actuator saturation
Discrete-time double integrator

Access to Document

10.1002/rnc.2855

http://eprints.eemcs.utwente.nl/secure2/23868/01/a80.pdf

Cite this

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title = "Dynamic behavior of the discrete-time double integrator with saturated locally stabilizing linear state feedback laws",

abstract = "The main contribution of this paper is to completely characterize the dynamic behavior of the discrete-time double integrator with a saturated locally stabilizing linear state feedback law. In continuous-time setting, any linear state feedback control law that locally stabilizes the double integrator also globally stabilizes the system in the presence of actuator saturation. In discrete-time setting, the equivalent of the double integrator does not have the same property. In this paper, we completely characterize the global behavior of saturated locally stabilizing linear state feedback laws for the discrete-time double integrator.",

keywords = "EWI-23868, IR-87574, METIS-300107, Nonlinear Systems, actuator saturation, Discrete-time double integrator",

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AU - Stoorvogel, Antonie Arij

AU - Saberi, Ali

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AB - The main contribution of this paper is to completely characterize the dynamic behavior of the discrete-time double integrator with a saturated locally stabilizing linear state feedback law. In continuous-time setting, any linear state feedback control law that locally stabilizes the double integrator also globally stabilizes the system in the presence of actuator saturation. In discrete-time setting, the equivalent of the double integrator does not have the same property. In this paper, we completely characterize the global behavior of saturated locally stabilizing linear state feedback laws for the discrete-time double integrator.

KW - EWI-23868

KW - IR-87574

KW - METIS-300107

KW - Nonlinear Systems

KW - actuator saturation

KW - Discrete-time double integrator

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