Modeling and control of systems with active singularities under energy constraints: Single- and multi-impact sequences

Joseph Bentsman; Boris M. Miller; Evgeny Ya Rubinovich; Sudip K. Mazumder

doi:10.1109/TAC.2012.2186401

Modeling and control of systems with active singularities under energy constraints: Single- and multi-impact sequences

Joseph Bentsman, Boris M. Miller, Evgeny Ya Rubinovich, Sudip K. Mazumder

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

Abstract

A controller synthesis setting for systems with controlled singularities under incomplete information is extended to the cases characterized by a constraint on the total physical impulse as well as on the time interval between the adjacent engagement phases. The use of this setting for the optimal control law calculation is illustrated on the ball/racket system representative of a large class of controlled impact problems, where there are two separate bodies interacting through controlled viscoelastic force.

Original language	English (US)
Article number	6144704
Pages (from-to)	1854-1859
Number of pages	6
Journal	IEEE Transactions on Automatic Control
Volume	57
Issue number	7
DOIs	https://doi.org/10.1109/TAC.2012.2186401
State	Published - 2012

Keywords

Control over observations
controlled singularities
energy constraints
impulse control
mechanical systems

ASJC Scopus subject areas

Control and Systems Engineering
Computer Science Applications
Electrical and Electronic Engineering

Online availability

10.1109/TAC.2012.2186401

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abstract = "A controller synthesis setting for systems with controlled singularities under incomplete information is extended to the cases characterized by a constraint on the total physical impulse as well as on the time interval between the adjacent engagement phases. The use of this setting for the optimal control law calculation is illustrated on the ball/racket system representative of a large class of controlled impact problems, where there are two separate bodies interacting through controlled viscoelastic force.",

keywords = "Control over observations, controlled singularities, energy constraints, impulse control, mechanical systems",

author = "Joseph Bentsman and Miller, {Boris M.} and Rubinovich, {Evgeny Ya} and Mazumder, {Sudip K.}",

note = "Funding Information: Manuscript received March 07, 2010; revised September 02, 2010; accepted January 25, 2012. Date of publication February 03, 2012; date of current version June 22, 2012. This work was supported by the U.S. National Science Foundation under Grants ECS-0501407 and DMI-0900138, by Australian Research Council Grant DP0988685, and by the Russian Foundation for Basic Research under grants 10-08-01070-a, 10-01-00710. Recommended by Associate Editor H. Ito.",

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AU - Mazumder, Sudip K.

N1 - Funding Information: Manuscript received March 07, 2010; revised September 02, 2010; accepted January 25, 2012. Date of publication February 03, 2012; date of current version June 22, 2012. This work was supported by the U.S. National Science Foundation under Grants ECS-0501407 and DMI-0900138, by Australian Research Council Grant DP0988685, and by the Russian Foundation for Basic Research under grants 10-08-01070-a, 10-01-00710. Recommended by Associate Editor H. Ito.

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KW - impulse control

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Modeling and control of systems with active singularities under energy constraints: Single- and multi-impact sequences

Abstract

Keywords

ASJC Scopus subject areas

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