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Dissipativity and stabilization of nonlinear repetitive processes

Dissipativity and stabilization of nonlinear repetitive processes
Dissipativity and stabilization of nonlinear repetitive processes
Repetitive processes are characterized by repeated executions of a task defined over a finite duration with resetting after each execution is complete. Also the output from any execution directly influences the output produced on the next execution. The repetitive process model structure arises in the modeling of physical processes and can also be used to effect in the control of other systems, the design of iterative learning control laws where experimental verification of designs has been reported. The existing systems theory for them is, in the main, linear model based. This paper considers nonlinear repetitive processes using a dissipative setting and develops a stabilizing control law with the required conditions expressed in terms of vector storage functions. This design is then extended to stabilization plus disturbance attenuation.
14-20
Pakshin, P.
b237ddfe-eb4d-4fa1-963e-71ae7eb39e51
Emelianova, J.
5c7bc1c7-9dc3-4492-825f-0868603ca0b2
Emelianov, M.
a836ce8b-21d1-4ff1-b9e3-4b6d439da01a
Galkowski, K.
65b638be-b5a5-4e25-b1b8-e152c08a1cbb
Rogers, E.
611b1de0-c505-472e-a03f-c5294c63bb72
Pakshin, P.
b237ddfe-eb4d-4fa1-963e-71ae7eb39e51
Emelianova, J.
5c7bc1c7-9dc3-4492-825f-0868603ca0b2
Emelianov, M.
a836ce8b-21d1-4ff1-b9e3-4b6d439da01a
Galkowski, K.
65b638be-b5a5-4e25-b1b8-e152c08a1cbb
Rogers, E.
611b1de0-c505-472e-a03f-c5294c63bb72

Pakshin, P., Emelianova, J., Emelianov, M., Galkowski, K. and Rogers, E. (2016) Dissipativity and stabilization of nonlinear repetitive processes. Systems & Control Letters, 91, 14-20. (doi:10.1016/j.sysconle.2016.01.005).

Record type: Article

Abstract

Repetitive processes are characterized by repeated executions of a task defined over a finite duration with resetting after each execution is complete. Also the output from any execution directly influences the output produced on the next execution. The repetitive process model structure arises in the modeling of physical processes and can also be used to effect in the control of other systems, the design of iterative learning control laws where experimental verification of designs has been reported. The existing systems theory for them is, in the main, linear model based. This paper considers nonlinear repetitive processes using a dissipative setting and develops a stabilizing control law with the required conditions expressed in terms of vector storage functions. This design is then extended to stabilization plus disturbance attenuation.

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Accepted/In Press date: 24 January 2016
e-pub ahead of print date: 7 March 2016
Published date: May 2016
Organisations: Vision, Learning and Control

Identifiers

Local EPrints ID: 386886
URI: http://eprints.soton.ac.uk/id/eprint/386886
PURE UUID: e3fc39df-fba2-4729-9dfe-cd26a44d3e80
ORCID for E. Rogers: ORCID iD orcid.org/0000-0003-0179-9398

Catalogue record

Date deposited: 03 Feb 2016 19:40
Last modified: 17 Dec 2019 06:55

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