The Model-Based Performance Index for Stabilization of Linear and Nonlinear Systems∗

Salim Ibrir

doi:10.1109/ICCA.2019.8899760

The Model-Based Performance Index for Stabilization of Linear and Nonlinear Systems∗

Salim Ibrir^*

^*Corresponding author for this work

King Fahd University of Petroleum & Minerals

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

Abstract

Model-based cost functions are developed to build optimal stabilizing controllers for linear and nonlinear systems. The prescribed model-based cost functions can be selected to impose a specific desired performance of the closed-loop system. The proposed approach differs from the classical optimal control formulation in the sense that the objective function and the system dynamics are fused in one criterion. As a result, the optimal control law is finally built as the solution to an unconstrained optimization problem. For systems that are not affine in the control input, dynamic feedbacks are proposed as the gradient flow of model-based performance indices.

Original language	English
Title of host publication	2019 IEEE 15th International Conference on Control and Automation, ICCA 2019
Publisher	IEEE Computer Society
Pages	1283-1288
Number of pages	6
ISBN (Electronic)	9781728111643
DOIs	https://doi.org/10.1109/ICCA.2019.8899760
State	Published - Jul 2019

Publication series

Name	IEEE International Conference on Control and Automation, ICCA
Volume	2019-July
ISSN (Print)	1948-3449
ISSN (Electronic)	1948-3457

Bibliographical note

Publisher Copyright:
© 2019 IEEE.

ASJC Scopus subject areas

Artificial Intelligence
Computer Science Applications
Control and Systems Engineering
Electrical and Electronic Engineering
Industrial and Manufacturing Engineering

Access to Document

10.1109/ICCA.2019.8899760

Cite this

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title = "The Model-Based Performance Index for Stabilization of Linear and Nonlinear Systems∗",

abstract = "Model-based cost functions are developed to build optimal stabilizing controllers for linear and nonlinear systems. The prescribed model-based cost functions can be selected to impose a specific desired performance of the closed-loop system. The proposed approach differs from the classical optimal control formulation in the sense that the objective function and the system dynamics are fused in one criterion. As a result, the optimal control law is finally built as the solution to an unconstrained optimization problem. For systems that are not affine in the control input, dynamic feedbacks are proposed as the gradient flow of model-based performance indices.",

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The Model-Based Performance Index for Stabilization of Linear and Nonlinear Systems∗. / Ibrir, Salim.
2019 IEEE 15th International Conference on Control and Automation, ICCA 2019. IEEE Computer Society, 2019. p. 1283-1288 8899760 (IEEE International Conference on Control and Automation, ICCA; Vol. 2019-July).

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

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AB - Model-based cost functions are developed to build optimal stabilizing controllers for linear and nonlinear systems. The prescribed model-based cost functions can be selected to impose a specific desired performance of the closed-loop system. The proposed approach differs from the classical optimal control formulation in the sense that the objective function and the system dynamics are fused in one criterion. As a result, the optimal control law is finally built as the solution to an unconstrained optimization problem. For systems that are not affine in the control input, dynamic feedbacks are proposed as the gradient flow of model-based performance indices.

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The Model-Based Performance Index for Stabilization of Linear and Nonlinear Systems∗

Abstract

Publication series

Bibliographical note

ASJC Scopus subject areas

Access to Document

Fingerprint

Cite this