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

Journal of control, automation and electrical systems

article

Wolmuth, Leidy Diane¹  Alves, Uiliam Nelson Lendzion Tomaz²  Teixeira, Marcelo Carvalho Minhoto³  Assunção, Edvaldo³  Cardim, Rodrigo³  Moreira, Manoel Rodrigo⁴ 

[1] Department of Mathematics, UFMT—Federal University of Mato Grosso;IFPR—Federal Institute of Education, Science and Technology of Paraná;São Paulo State University (UNESP), School of Engineering;IFMT—Federal Institute of Education, Science and Technology of Mato Grosso

关键词: Derivative feedback;    Uncertain linear system;    Actuator saturation;    Linear matrix inequalities;   

DOI  :  10.1007/s40313-019-00474-x

学科分类：自动化工程

来源: Springer

【 摘 要 】

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.

【 授权许可】

CC BY