Non-parametric tuning of PID controllers via modified second-order sliding mode algorithms

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Abstract

An application of the modified second-order sliding mode (SOSM) algorithms to a PID controller tuning is presented. The proposed method utilizes the opportunity of exciting test oscillations in the controller-process loop at the frequency corresponding to a desired phase lag of the process. This allows for this frequency to become the phase crossover frequency in the closed-loop system with a PID controller if the tuning rules are formulated as non-parametric rules in terms of the 'ultimate frequency' and 'ultimate gain'. The use of those properties results in designing a simple tuning method that provides the desired stability of the system. A simple test that involves measurements of the amplitude and of the frequency of the self-excited oscillations and non-parametric tuning rules that provide desired gain margins exactly are presented.

Original languageBritish English
Title of host publicationProceedings of the 17th World Congress, International Federation of Automatic Control, IFAC
Edition1 PART 1
DOIs
StatePublished - 2008
Event17th World Congress, International Federation of Automatic Control, IFAC - Seoul, Korea, Republic of
Duration: 6 Jul 200811 Jul 2008

Publication series

NameIFAC Proceedings Volumes (IFAC-PapersOnline)
Number1 PART 1
Volume17
ISSN (Print)1474-6670

Conference

Conference17th World Congress, International Federation of Automatic Control, IFAC
Country/TerritoryKorea, Republic of
CitySeoul
Period6/07/0811/07/08

Keywords

  • Application of nonlinear analysis and design

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