ISS control for continuous‐time systems with filtered time‐varying parameter and saturating actuators

This paper presents new convex conditions to design robust and linear parameter varying (LPV) gains for continuous time‐varying systems subject to saturating actuator and energy bounded disturbances. The input‐to‐state stability conditions are used to design controllers ensuring the minimization of...

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Bibliographic Details
Published inAsian journal of control Vol. 24; no. 6; pp. 2888 - 2900
Main Authors Ferreira, Gabriel O., Figueiredo, Larissa S., Lacerda, Márcio J., Leite, Valter J. S.
Format Journal Article
LanguageEnglish
Published Hoboken Wiley Subscription Services, Inc 01.11.2022
Subjects
Actuators
Design parameters
linear matrix inequalities
linear parameter‐varying systems
Numerical methods
Optimization
Parameter robustness
Robustness (mathematics)
saturation
stabilization
Tracking problem
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ISSN1561-8625
1934-6093
DOI10.1002/asjc.2747

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Summary:This paper presents new convex conditions to design robust and linear parameter varying (LPV) gains for continuous time‐varying systems subject to saturating actuator and energy bounded disturbances. The input‐to‐state stability conditions are used to design controllers ensuring the minimization of the L2‐gain between the disturbance input and the controlled output. Furthermore, optimization procedures to maximize the estimate of the region of attraction, and the bound to the control signal as well, are formulated. The efficacy of the proposed methods is illustrated with numerical examples, including a reference tracking problem, where realistic simulations are performed.
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ISSN:1561-8625
1934-6093
DOI:10.1002/asjc.2747