Input shaping design using sequential linear programming (SLP) for non-linear systems

Puneet Singla; Tarunraj Singh; S. G. Manyam

doi:10.1109/ACC.2008.4586997

Input shaping design using sequential linear programming (SLP) for non-linear systems

Puneet Singla, Tarunraj Singh, S. G. Manyam

Aerospace Engineering

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

4 Scopus citations

Abstract

This paper presents a sequential optimization technique for the design of optimal controllers. Linearizing the system model about nominal trajectories results in a linear programming problem which is used to select a perturbation to the nominal control to satisfy the boundary conditions and the state and control constraints. Sequential solution of linear programming problem where the linearized system and control influence matrices are time varying results in the optimal control. Two approaches wherein the perturbation control is constant and linearly varying within a sampling interval are tested on benchmark problems and the results are compared to illustrate the performance of the proposed technique.

Original language	English (US)
Title of host publication	2008 American Control Conference, ACC
Pages	3275-3280
Number of pages	6
DOIs	https://doi.org/10.1109/ACC.2008.4586997
State	Published - 2008
Event	2008 American Control Conference, ACC - Seattle, WA, United States Duration: Jun 11 2008 → Jun 13 2008

Publication series

Name	Proceedings of the American Control Conference
ISSN (Print)	0743-1619

Other

Other	2008 American Control Conference, ACC
Country/Territory	United States
City	Seattle, WA
Period	6/11/08 → 6/13/08

All Science Journal Classification (ASJC) codes

Electrical and Electronic Engineering

Access to Document

10.1109/ACC.2008.4586997

Cite this

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title = "Input shaping design using sequential linear programming (SLP) for non-linear systems",

abstract = "This paper presents a sequential optimization technique for the design of optimal controllers. Linearizing the system model about nominal trajectories results in a linear programming problem which is used to select a perturbation to the nominal control to satisfy the boundary conditions and the state and control constraints. Sequential solution of linear programming problem where the linearized system and control influence matrices are time varying results in the optimal control. Two approaches wherein the perturbation control is constant and linearly varying within a sampling interval are tested on benchmark problems and the results are compared to illustrate the performance of the proposed technique.",

author = "Puneet Singla and Tarunraj Singh and Manyam, {S. G.}",

year = "2008",

doi = "10.1109/ACC.2008.4586997",

language = "English (US)",

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series = "Proceedings of the American Control Conference",

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booktitle = "2008 American Control Conference, ACC",

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AU - Singh, Tarunraj

AU - Manyam, S. G.

PY - 2008

Y1 - 2008

N2 - This paper presents a sequential optimization technique for the design of optimal controllers. Linearizing the system model about nominal trajectories results in a linear programming problem which is used to select a perturbation to the nominal control to satisfy the boundary conditions and the state and control constraints. Sequential solution of linear programming problem where the linearized system and control influence matrices are time varying results in the optimal control. Two approaches wherein the perturbation control is constant and linearly varying within a sampling interval are tested on benchmark problems and the results are compared to illustrate the performance of the proposed technique.

AB - This paper presents a sequential optimization technique for the design of optimal controllers. Linearizing the system model about nominal trajectories results in a linear programming problem which is used to select a perturbation to the nominal control to satisfy the boundary conditions and the state and control constraints. Sequential solution of linear programming problem where the linearized system and control influence matrices are time varying results in the optimal control. Two approaches wherein the perturbation control is constant and linearly varying within a sampling interval are tested on benchmark problems and the results are compared to illustrate the performance of the proposed technique.

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U2 - 10.1109/ACC.2008.4586997

DO - 10.1109/ACC.2008.4586997

M3 - Conference contribution

AN - SCOPUS:52449089167

SN - 9781424420797

T3 - Proceedings of the American Control Conference

SP - 3275

EP - 3280

BT - 2008 American Control Conference, ACC

T2 - 2008 American Control Conference, ACC

Y2 - 11 June 2008 through 13 June 2008

ER -

Input shaping design using sequential linear programming (SLP) for non-linear systems

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