A Direct Parameter-Error Codesign Approach of Discrete-Time Saturated LPV Systems

Considering a discrete-time linear parameter-varying systems with input constraints, this article deals with the codesign of a parameter-dependent state-feedback controller and a new parameter-dependent event-triggering mechanism. Two independent event-triggering policies are introduced at the senso...

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Bibliographic Details
Published inIEEE transactions on automatic control Vol. 67; no. 9; pp. 4870 - 4876
Main Authors de Souza, Carla, Leite, Valter J. S., Tarbouriech, Sophie, Castelan, Eugenio B., Silva, Luis F. P.
Format Journal Article
LanguageEnglish
Published New York IEEE 01.09.2022
The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subjects
Actuators
Adaptive control
Closed loops
Co-design
Codesign approach
Convexity
Data communication
Design methodology
Discrete time systems
event-triggered control (ETC)
Feedback control
Linear matrix inequalities
linear parameter-varying (LPV) systems
Linear systems
Nonlinear systems
Optimization
Parameter robustness
parameter-deviations
Robustness
Robustness (mathematics)
saturation
Scheduling
State feedback
Symmetric matrices
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Summary:Considering a discrete-time linear parameter-varying systems with input constraints, this article deals with the codesign of a parameter-dependent state-feedback controller and a new parameter-dependent event-triggering mechanism. Two independent event-triggering policies are introduced at the sensor node to economize the limited network resources. They indicate whether the current state or the current scheduling parameters should be transmitted to the controller or not. In this sense, the controller scheduling parameters can differ from those of the system, yielding a certain degree of robustness concerning parameter deviations. Sufficient conditions, given in terms of linear matrix inequalities, ensure the regional asymptotic stability of the closed loop. To formulated them, we use the Lyapunov theory along with the generalized sector condition. Moreover, we formulate a convex optimization procedure indirectly reducing the transmission activity over the network. The proposed methodology effectiveness is attested through numerical examples and comparisons with related works from the literature.
ISSN:0018-9286
1558-2523
DOI:10.1109/TAC.2022.3163061