Derivative Feedback Control for a Class of Uncertain Linear Systems Subject to Actuator Saturation

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Data

2019-08-15

Autores

Wolmuth, Leidy Diane
Alves, Uiliam Nelson Lendzion Tomaz
Teixeira, Marcelo Carvalho Minhoto [UNESP]
Assunção, Edvaldo [UNESP]
Cardim, Rodrigo [UNESP]
Moreira, Manoel Rodrigo

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Resumo

This manuscript considers a class of linear systems with time-invariant uncertainties, where only the derivative of the state vector is considered for feedback. In this scenario, the proposed strategy uses auxiliary dynamics, whose state is accessible for feedback, to control the original plant. It is proposed a design procedure by means of linear matrix inequalities, adding an auxiliary dynamics and subject to actuator saturation. If the conditions are feasible, they assure that the equilibrium point of the closed-loop system is locally asymptotically stable, for all initial conditions in an ellipsoidal region, which is within a given region defined for the plant and the new dynamics. Although the proposed design includes an auxiliary dynamics, it ensures the stability and decay rate proprieties for the original plant. Simulations examples illustrate the effectiveness of the proposed approach.

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Palavras-chave

Actuator saturation, Derivative feedback, Linear matrix inequalities, Uncertain linear system

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Journal of Control, Automation and Electrical Systems, v. 30, n. 4, p. 490-500, 2019.