A global optimization approach to H∞ synthesis with parametric uncertainties applied to AUV control

D. Monnet; J. Ninin; B. Clement

doi:10.1016/j.ifacol.2017.08.297

A global optimization approach to H_∞ synthesis with parametric uncertainties applied to AUV control

D. Monnet
, J. Ninin
, B. Clement

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

11 Citations (Scopus)

Abstract

Given a Linear Time Invariant (LTI) system with parametric uncertainties, we propose a new method to synthesize a structured controller with H_∞ constraints. Our approach is based on global optimization. The problem is formulated as a min-max optimization problem. A new version of a global optimization algorithm based on interval arithmetic is implemented to solve this kind of problems. To validate our approach, an example of Autonomous Underwater Vehicle (AUV) regulation to synthesize a PID controller with two H_∞ constraints and two parametric uncertainties is given.

Original language	English
Pages (from-to)	3953-3958
Number of pages	6
Journal	IFAC-PapersOnLine
Volume	50
Issue number	1
DOIs	https://doi.org/10.1016/j.ifacol.2017.08.297
Publication status	Published - Jul 2017
Externally published	Yes

Keywords

Global optimization
H∞ constraints
Interval Analysis
Linear System
Parametric uncertainties
Robust Control
Structured synthesis

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abstract = "Given a Linear Time Invariant (LTI) system with parametric uncertainties, we propose a new method to synthesize a structured controller with H∞ constraints. Our approach is based on global optimization. The problem is formulated as a min-max optimization problem. A new version of a global optimization algorithm based on interval arithmetic is implemented to solve this kind of problems. To validate our approach, an example of Autonomous Underwater Vehicle (AUV) regulation to synthesize a PID controller with two H∞ constraints and two parametric uncertainties is given.",

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AB - Given a Linear Time Invariant (LTI) system with parametric uncertainties, we propose a new method to synthesize a structured controller with H∞ constraints. Our approach is based on global optimization. The problem is formulated as a min-max optimization problem. A new version of a global optimization algorithm based on interval arithmetic is implemented to solve this kind of problems. To validate our approach, an example of Autonomous Underwater Vehicle (AUV) regulation to synthesize a PID controller with two H∞ constraints and two parametric uncertainties is given.

KW - Global optimization

KW - H∞ constraints

KW - Interval Analysis

KW - Linear System

KW - Parametric uncertainties

KW - Robust Control

KW - Structured synthesis

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A global optimization approach to H_∞ synthesis with parametric uncertainties applied to AUV control

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Keywords

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