Finite‐time output feedback preview control for linear parameter‐varying systems with input saturation

This paper investigates the finite‐time preview saturated control problem for linear parameter‐varying systems with input saturation. The external disturbances and input saturation, previewable reference signals, and parameter variations are considered simultaneously. First, using the error system method, we construct an augmented error system with previewed information. This transforms the finite‐time preview saturated control problem into a finite‐time stabilization problem. Next, static output‐feedback controllers are used to guarantee the finite‐time boundedness of the closed‐loop system. Sufficient conditions guarantee the existence of the desired controllers are obtained using linear matrix inequalities. At last, we use a numerical simulation to show the proposed design method's effectiveness.

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Publication Details

Journal
Mathematical Methods in the Applied Sciences
Published
2024-11-24
DOI
https://doi.org/10.1002/mma.10607
Citations
1
Primary Topic
Adaptive Control of Nonlinear Systems
Type
article
Field-Weighted Citation Impact
0.33

Funders

Controls
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article

Finite‐time output feedback preview control for linear parameter‐varying systems with input saturation

Yanrong Lu, Li Li, Yaofeng Zhang
1 citations
Mathematical Methods in the Applied Sciences
Adaptive Control of Nonlinear Systems
0.33
article

Finite‐time output feedback preview control for linear parameter‐varying systems with input saturation

Yanrong Lu, Li Li, Yaofeng Zhang
article en
1 citations

Abstract

This paper investigates the finite‐time preview saturated control problem for linear parameter‐varying systems with input saturation. The external disturbances and input saturation, previewable reference signals, and parameter variations are considered simultaneously. First, using the error system method, we construct an augmented error system with previewed information. This transforms the finite‐time preview saturated control problem into a finite‐time stabilization problem. Next, static output‐feedback controllers are used to guarantee the finite‐time boundedness of the closed‐loop system. Sufficient conditions guarantee the existence of the desired controllers are obtained using linear matrix inequalities. At last, we use a numerical simulation to show the proposed design method's effectiveness.

Mathematical Methods in the Applied SciencesVol. 48(4)
Lanzhou University of Technology (CN), Hubei University Of Economics (CN), Lanzhou University (CN)
National Natural Science Foundation of China
Openalex Percentile: Top 39%
Adaptive Control of Nonlinear Systems
0.33
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