On Output Feedback Multiobjective Control for Singularly Perturbed Systems

On Output Feedback Multiobjective Control for Singularly Perturbed Systems

A new design procedure for a robust 𝐻2 and 𝐻∞ control of continuous-time singularly perturbed systems via dynamic output feedback is presented. By formulating all objectives in terms of a common Lyapunov function, the controller will be designed through solving a set of inequalities. Therefore, a dy...

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Main Authors: Mehdi Ghasem Moghadam, Mohammad Taghi Hamidi Beheshti
Format: Article
Language:English
Published: Hindawi Limited 2011-01-01
Series:Mathematical Problems in Engineering
Online Access:http://dx.doi.org/10.1155/2011/903126
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spelling doaj-4a1b52547d1d49c59c4836f8f33e3c972020-11-24T22:56:17ZengHindawi LimitedMathematical Problems in Engineering1024-123X1563-51472011-01-01201110.1155/2011/903126903126On Output Feedback Multiobjective Control for Singularly Perturbed SystemsMehdi Ghasem Moghadam0Mohammad Taghi Hamidi Beheshti1Control and Communication Networks Laboratory, Electrical Engineering Department, Tarbiat Modares University, Tehran, IranControl and Communication Networks Laboratory, Electrical Engineering Department, Tarbiat Modares University, Tehran, IranA new design procedure for a robust 𝐻2 and 𝐻∞ control of continuous-time singularly perturbed systems via dynamic output feedback is presented. By formulating all objectives in terms of a common Lyapunov function, the controller will be designed through solving a set of inequalities. Therefore, a dynamic output feedback controller is developed such that 𝐻∞ and 𝐻2 performance of the resulting closed-loop system is less than or equal to some prescribed value. Also, 𝐻∞ and 𝐻2 performance for a given upperbound of singular perturbation parameter 𝜀∈(0,𝜀∗] are guaranteed. It is shown that the 𝜀-dependent controller is well defined for any 𝜀∈(0,𝜀∗] and can be reduced to an 𝜀-independent one so long as 𝜀 is sufficiently small. Finally, numerical simulations are provided to validate the proposed controller. Numerical simulations coincide with the theoretical analysis.http://dx.doi.org/10.1155/2011/903126
collection DOAJ
language English
format Article
sources DOAJ
author Mehdi Ghasem Moghadam
Mohammad Taghi Hamidi Beheshti
spellingShingle Mehdi Ghasem Moghadam
Mohammad Taghi Hamidi Beheshti
On Output Feedback Multiobjective Control for Singularly Perturbed Systems
Mathematical Problems in Engineering
author_facet Mehdi Ghasem Moghadam
Mohammad Taghi Hamidi Beheshti
author_sort Mehdi Ghasem Moghadam
title On Output Feedback Multiobjective Control for Singularly Perturbed Systems
title_short On Output Feedback Multiobjective Control for Singularly Perturbed Systems
title_full On Output Feedback Multiobjective Control for Singularly Perturbed Systems
title_fullStr On Output Feedback Multiobjective Control for Singularly Perturbed Systems
title_full_unstemmed On Output Feedback Multiobjective Control for Singularly Perturbed Systems
title_sort on output feedback multiobjective control for singularly perturbed systems
publisher Hindawi Limited
series Mathematical Problems in Engineering
issn 1024-123X
1563-5147
publishDate 2011-01-01
description A new design procedure for a robust 𝐻2 and 𝐻∞ control of continuous-time singularly perturbed systems via dynamic output feedback is presented. By formulating all objectives in terms of a common Lyapunov function, the controller will be designed through solving a set of inequalities. Therefore, a dynamic output feedback controller is developed such that 𝐻∞ and 𝐻2 performance of the resulting closed-loop system is less than or equal to some prescribed value. Also, 𝐻∞ and 𝐻2 performance for a given upperbound of singular perturbation parameter 𝜀∈(0,𝜀∗] are guaranteed. It is shown that the 𝜀-dependent controller is well defined for any 𝜀∈(0,𝜀∗] and can be reduced to an 𝜀-independent one so long as 𝜀 is sufficiently small. Finally, numerical simulations are provided to validate the proposed controller. Numerical simulations coincide with the theoretical analysis.
url http://dx.doi.org/10.1155/2011/903126
work_keys_str_mv AT mehdighasemmoghadam onoutputfeedbackmultiobjectivecontrolforsingularlyperturbedsystems
AT mohammadtaghihamidibeheshti onoutputfeedbackmultiobjectivecontrolforsingularlyperturbedsystems
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