\(H_{\infty}\) loop shaping control of input saturated systems with norm-bounded parametric uncertainty
type: Item
instance of: scholarly article
title: \(H_{\infty}\) loop shaping control of input saturated systems with norm-bounded parametric uncertainty
zbMATH Open document ID: 1326.93041
DOI: 10.1155/2015/383297
author: Renan Lima Pereira
author: Karl Heinz Kienitz
published in: Journal of Control Science and Engineering
publication date: 2015-11-19T00:00:00Z
review text: Summary: This paper proposes a gain-scheduling control design strategy for a class of linear systems with the presence of both input saturation constraints and norm-bounded parametric uncertainty. LMI conditions are derived in order to obtain a gain-scheduled controller that ensures the robust stability and performance of the closed loop system. The main steps to obtain such a controller are given. Differently from other gain-scheduled approaches in the literature, this one focuses on the problem of \(H_{\infty}\) loop shaping control design with input saturation nonlinearity and norm-bounded uncertainty to reduce the effect of the disturbance input on the controlled outputs. Here, the design problem has been formulated in the four-block \(H_{\infty}\) synthesis framework, in which it is possible to describe the parametric uncertainty and the input saturation nonlinearity as perturbations to normalized coprime factors of the shaped plant. As a result, the shaped plant is represented as a Linear Parameter-Varying (LPV) system while the norm-bounded uncertainty and input saturation are incorporated. This procedure yields a linear parameter-varying structure for the controller that ensures the stability of the polytopic LPV shaped plant from the vertex property. Finally, the effectiveness of the method is illustrated through application to a physical system: a Vertical Taking-Off Landing' ( VTOL) helicopter.
Mathematics Subject Classification ID: 93B36
Mathematics Subject Classification ID: 93D09
Mathematics Subject Classification ID: 93C41
Mathematics Subject Classification ID: 93B25
zbMATH DE Number: 6511706
zbMATH Keywords: \(H_{\infty}\) loop shaping control
zbMATH Keywords: input saturated systems
zbMATH Keywords: norm-bounded parametric uncertainty
zbMATH Keywords: robust stability
zbMATH Keywords: four-block \(H_{\infty}\) synthesis framework
zbMATH Keywords: linear parameter-varying (LPV) system
zbMATH Keywords: vertical taking-off landing' helicopter
Wikidata QID: Q59112399
describes a project that uses: SeDuMi
describes a project that uses: YALMIP
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2015/383297
OpenAlex ID: W1524584385
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description: scientific article; zbMATH DE number 6511706