POLISH ACADEMY of SCIENCES
TECHNICAL SCIENCES
| BULLETIN
of the
POLISH ACADEMY of SCIENCES TECHNICAL SCIENCES |
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| Volume
58, Issue 4, December 2010
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| Aims&Scope, Subscription | Editors | Authors' guide | to read PDF files | mirror: http://fluid.ippt.gov.pl/~bulletin/ |
| pp 613 - 619 |
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Stability analysis of a discrete-time system with a variable-, fractional-order controller |
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| P. OSTALCZYK |
| Variable, fractional-order backward difference is a generalisation of commonly known difference or sum. Equations with these differences can be used to describe a variable-, fractional order digital control strategies. One should mention, that classical tools such as a state-space description and discrete transfer function cannot be used in the analysis and synthesis of such a type of systems. Equations describing a closed-loop system are proposed. They contain square matrices imitating the action of matrices in the system polynomial matrix description. This paper focuses on the stability analysis of a closed-loop SISO linear system with a controller described by the equations mentioned. A stability condition based on a transient denominator matrix condition number is proposed. Investigations are supported by two numerical examples. |
| Key words: |
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fractional calculus, discrete-time controller, stability |
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| Aims&Scope, Subscription | Editors | Authors' guide | to read PDF files |
| Copyright ® Bulletin of the Polish Academy of Sciences: Technical Sciences |
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