Second-order sliding mode control of time delay systems

Acta Montanistica Slovaca

关键词: second-order sliding mode;    time delay system;    anisochronic model;    Ackermann formula;    perturbation;    chattering;    SMC scheme;   

DOI  :  

来源: DOAJ

【 摘 要 】

The contribution of the paper is a proposal of the second-order sliding mode control of time delay systems developed analogously to the first-order version. Unlike the control variable itself in the first-order version the first derivative (speed) of this variable is assessed in the second-order scheme of the SMC (Sliding Mode Control). In accordance with the first order SMC scheme a parallel model of the control system is applied prescribing its desired behaviour, to be followed by the controlled process. The model of the feedback system consists of both the process and the feedback controller models adjusting the control action amplitude. The process model is supposed to be identified as time delay system described by an anisochronic state model, that brings a low order form advantageous for the control synthesis. This synthesis is based on a dominant pole assignment performed by the help of the Ackermann formula extension. The mismatch between the process and its model, known as perturbation, is rejected by sliding mode technique. The second-order sliding mode is proposed to suppress the usually encountered “chattering” of the first-order version of the sliding mode control.

【 授权许可】

Unknown