Tracking Control of PWM Non-affine Nonlinear Systems via Singular Perturbation Approach∗∗This work was supported by Russian Foundation for Basic Research (RFBR) under grant no.14-08-01004-a.

Yurkevich, Valery D.

doi:10.1016/j.ifacol.2015.09.297

IFAC-PapersOnLine

2015

DOI: 10.1016/j.ifacol.2015.09.297

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Tracking Control of PWM Non-affine Nonlinear Systems via Singular Perturbation Approach∗∗This work was supported by Russian Foundation for Basic Research (RFBR) under grant no.14-08-01004-a.

Valery D. Yurkevich

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2021

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Methods of Ensuring Invariance with Respect to External Disturbances: Overview and New Advances

2021

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In this paper, we carry out a demonstration and comparative analysis of known methods of the synthesis of various control laws ensuring the invariance of the output (controlled) variable with respect to external disturbances under various assumptions about their type and channels of acting on the control plant. Methods of the synthesis are presented on the example of a third-order nonlinear system with single input and single output (SISO-systems), dynamic feedback synthesis is presented at a descriptive level and the focus is on procedures of static feedback synthesis. For the systems in which the matching conditions are not satisfied, it is concluded that it is expedient to introduce smooth and bounded nonlinear local feedbacks. Within the framework of the block control principle, we developed an iterative procedure of synthesis of S-shaped sigmoid feedbacks for such systems. Nonlinear local feedbacks ensure stabilization of the output variable with the given accuracy and settling time as in a system with traditionally used linear local feedbacks with high gains. However, in contrast to it, sigmoid functions do not lead to a large overshoot of state variables and control actions.

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Methods of Ensuring Invariance with Respect to External Disturbances: Overview and New Advances

2021

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Tracking Control of PWM Non-affine Nonlinear Systems via Singular Perturbation Approach∗∗This work was supported by Russian Foundation for Basic Research (RFBR) under grant no.14-08-01004-a.

Cited by 1 publication

References 22 publications

Methods of Ensuring Invariance with Respect to External Disturbances: Overview and New Advances

Methods of Ensuring Invariance with Respect to External Disturbances: Overview and New Advances

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