The Entire Set of First Order Controllers Guaranteed Stability and Gain/Phase Margins for a LTI Plant with Time Delay

The Entire Set of First Order Controllers Guaranteed Stability and Gain/Phase Margins for a LTI Plant with Time Delay

The problem of determining the entire set (say S 0 ) of the first order controllers (FOC) that stabilize a linear time invariant (LTI) plant with delay free has been recently solved. In this paper, we extend this solution to the case of LTI plant with time delay. The main result shows that all the s...

Ausführliche Beschreibung

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Bibliographische Detailangaben
Hauptverfasser: Keunsik Kim, Young Choi Kim
Format: Tagungsbericht
Sprache:eng
Schlagworte:
Automotive engineering
Control design
Control systems
Delay effects
Educational institutions
Equations
Feedback
First order controller
Frequency
Gain and Phase margins
Graphics
Stability
Stabilizer
Time delay
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Beschreibung
Zusammenfassung:The problem of determining the entire set (say S 0 ) of the first order controllers (FOC) that stabilize a linear time invariant (LTI) plant with delay free has been recently solved. In this paper, we extend this solution to the case of LTI plant with time delay. The main result shows that all the stabilizing FOC for a given LTI plant including time delay are represented in a linear transformation of S 0 at every fixed frequency. It is also shown that the whole set of FOC satisfying the given gain and/or phase margins for the plant is determined by the slightly modified linear transformation of S 0 at every fixed frequency. Examples are given for illustration
DOI:10.1109/SICE.2006.315251