Improved ℋ<sub>2</sub>and ℒ<sub>2</sub>control designs for discrete-time LPV/LFR systems

Pereira, Renan Lima; Oliveira, Matheus Senna de

doi:10.1080/00207179.2022.2070547

International Journal of Control

2022

DOI: 10.1080/00207179.2022.2070547

|View full text |Cite

Improved ℋ₂and ℒ₂control designs for discrete-time LPV/LFR systems

Renan Lima Pereira

Matheus Senna de Oliveira

Help me understand this report

Search citation statements

Order By: Relevance

Paper Sections

Select...

Citation Types

Supporting

Mentioning

Contrasting

Year Published

2023

2024

Publication Types

Select...

Article5

Relationship

Self Cite0

Independent5

Authors

Journals

Cited by 6 publications

References 41 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

Geometric stabilization of discrete‐time systems via dissipativity approach and output feedback control

Wen,

Yang,

Ren

et al. 2024

Asian Journal of Control

View full text Add to dashboard Cite

Geometric stabilizability is studied for nonlinear discrete‐time systems (DTS) utilizing linear static output feedback (SOF). Initially, a linear SOF controller is designed such that nonlinear DTS achieve geometric stabilizability. Utilizing the concept of geometric QSR‐dissipativity (GQSR‐D), a condition both sufficient and necessary is proffered to guarantee geometric stabilizability for nonlinear DTS. Subsequently, the necessary conditions of linear matrix inequality (LMI) are delineated to ascertain the stability of a system employing linear SOF. A new sufficient and necessary condition is provided aiming to stabilize the linear time‐invariant (LTI) DTS based on GQSR‐D. Lastly, examples are furnished to elucidate the efficacy of the results, thereby reinforcing their practical applicability.

show abstract

Geometric stabilization of discrete‐time systems via dissipativity approach and output feedback control

Wen,

Yang,

Ren

et al. 2024

Asian Journal of Control

View full text Add to dashboard Cite

show abstract

Preview control for linear parameter‐varying discrete‐time systems using a linear fractional representation

Li,

Lu,

2024

Asian Journal of Control

View full text Add to dashboard Cite

In order to create a mixed tracking controller for discrete‐time linear parameter‐varying (LPV) systems, this work introduces a unique control strategy employing a linear fractional representation (LFR). Under the premise that the reference signal can be previewable, a design strategy for a controller with preview compensations is suggested. First, a preview tracking control issue is changed into a regulator problem by adding two additional linked auxiliary parameters into the initial system state/input, which further creates more enhanced error systems incorporating future information of reference signals. The suggested conditions then depend on utilizing slack variables with decision matrices related to the LFR approach in order to give innovative preview controller designs. We also construct reduced conservative synthesis situations by taking into account parameter‐dependent Lyapunov functions and full‐block multipliers. In order to create state‐feedback and output‐feedback preview tracking controllers, design requirements are characterized as linear matrix inequalities. Two simulation studies are completed as the last step to highlight how successful the suggested control strategy is.

show abstract

qLPV modeling and mixed-sensitivity L2 control for a magnetic levitation system

Rosa

Oliveira

Pereira

2023

International Journal of General Systems

View full text Add to dashboard Cite

scite is a Brooklyn-based organization that helps researchers better discover and understand research articles through Smart Citations–citations that display the context of the citation and describe whether the article provides supporting or contrasting evidence. scite is used by students and researchers from around the world and is funded in part by the National Science Foundation and the National Institute on Drug Abuse of the National Institutes of Health.

Contact Info

customersupport@researchsolutions.com

10624 S. Eastern Ave., Ste. A-614

Henderson, NV 89052, USA

This site is protected by reCAPTCHA and the Google Privacy Policy and Terms of Service apply.

Blog Terms and Conditions API Terms Privacy Policy Contact Cookie Preferences Do Not Sell or Share My Personal Information

Made with 💙 for researchers

Part of the Research Solutions Family.

Improved ℋ₂and ℒ₂control designs for discrete-time LPV/LFR systems

Cited by 6 publications

References 41 publications

Geometric stabilization of discrete‐time systems via dissipativity approach and output feedback control

Geometric stabilization of discrete‐time systems via dissipativity approach and output feedback control

Preview control for linear parameter‐varying discrete‐time systems using a linear fractional representation

qLPV modeling and mixed-sensitivity L2 control for a magnetic levitation system

Contact Info

Product

Resources

About

Improved ℋ2and ℒ2control designs for discrete-time LPV/LFR systems

Cited by 6 publications

References 41 publications

Geometric stabilization of discrete‐time systems via dissipativity approach and output feedback control

Geometric stabilization of discrete‐time systems via dissipativity approach and output feedback control

Preview control for linear parameter‐varying discrete‐time systems using a linear fractional representation

qLPV modeling and mixed-sensitivity L2 control for a magnetic levitation system

Contact Info

Product

Resources

About

Improved ℋ₂and ℒ₂control designs for discrete-time LPV/LFR systems