An Algorithm for Stabilization of Fractional-Order Time Delay Systems Using Fractional-Order PID Controllers

This technical note presents a solution to the problem of stabilizing a given fractional-order system with time delay using fractional-order Pl lambda D mu controllers. It is based on determining a set of global stability regions in the (k p , K i , K d )-space corresponding to the fractional orders...

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Vydáno v:	IEEE transactions on automatic control Ročník 52; číslo 10; s. 1964 - 1969
Hlavní autor:	Hamamci, S.E.
Médium:	Journal Article
Jazyk:	angličtina
Vydáno:	New York, NY IEEE 01.10.2007 Institute of Electrical and Electronics Engineers The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Témata:	Algorithm design and analysis Algorithms Applied sciences Computer science; control theory; systems Control system synthesis Control systems Control theory. Systems Controllers Delay effects Delay systems Design engineering Differential equations Electrical equipment industry Exact sciences and technology Fractional-order PID controller fractional-order systems Gain gain and phase margins Industrial control Open loop systems Proportional integral derivative Stability stabilization System theory Three-term control Time delay stabilization Gain margin Control synthesis fractional-order systems Delay system gain and phase margins time delay Stability region Fractional derivative Global stabilization Fractional-order PID controller Delay time Phase margin Differential integral proportional control
ISSN:	0018-9286, 1558-2523
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Abstract	This technical note presents a solution to the problem of stabilizing a given fractional-order system with time delay using fractional-order Pl lambda D mu controllers. It is based on determining a set of global stability regions in the (k p , K i , K d )-space corresponding to the fractional orders lambda and mu in the range of (0, 2) and then choosing the biggest global stability region in this set. This method can be also used to find the set of stabilizing controllers that guarantees prespecified gain and phase margin requirements. The algorithm is simple and has reliable result which is illustrated by an example, and, hence, is practically useful in the analysis and design of fractional-order control systems.
AbstractList	This technical note presents a solution to the problem of stabilizing a given fractional-order system with time delay using fractional-order Pl@@ulambda@D@@umu@ controllers. It is based on determining a set of global stability regions in the (k@@dp@, K@@di@, K@@dd@)-space corresponding to the fractional orders lambda and mu in the range of (0, 2) and then choosing the biggest global stability region in this set. This method can be also used to find the set of stabilizing controllers that guarantees prespecified gain and phase margin requirements. The algorithm is simple and has reliable result which is illustrated by an example, and, hence, is practically useful in the analysis and design of fractional-order control systems. This technical note presents a solution to the problem of stabilizing a given fractional-order system with time delay using fractional-order Pl lambda D mu controllers. It is based on determining a set of global stability regions in the (k p , K i , K d )-space corresponding to the fractional orders lambda and mu in the range of (0, 2) and then choosing the biggest global stability region in this set. This method can be also used to find the set of stabilizing controllers that guarantees prespecified gain and phase margin requirements. The algorithm is simple and has reliable result which is illustrated by an example, and, hence, is practically useful in the analysis and design of fractional-order control systems. This technical note presents a solution to the problem of stabilizing a given fractional-order system with time delay using fractional-order Pl super(lambda)D super(mu) controllers. It is based on determining a set of global stability regions in the (k sub(p), K sub(i), K sub(d))-space corresponding to the fractional orders lambda and mu in the range of (0, 2) and then choosing the biggest global stability region in this set. This method can be also used to find the set of stabilizing controllers that guarantees prespecified gain and phase margin requirements. The algorithm is simple and has reliable result which is illustrated by an example, and, hence, is practically useful in the analysis and design of fractional-order control systems.
Author	Hamamci, S.E.
Author_xml	– sequence: 1 givenname: S.E. surname: Hamamci fullname: Hamamci, S.E. organization: Inonu Univ., Malatya
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Cites_doi	10.1016/j.automatica.2006.01.008 10.1109/9.995039 10.1049/piee.1969.0264 10.1177/002029407000301001 10.1109/9.983352 10.2514/3.21198 10.1115/DETC2003/VIB-48370 10.2514/3.25351 10.1063/1.3050672 10.1016/j.conengprac.2007.08.006 10.1016/S0045-7906(03)00012-0 10.1007/978-1-4471-3651-4 10.1080/02533839.2006.9671121 10.1016/S0019-0578(07)60230-4 10.1016/S0005-1098(02)00180-2 10.1109/CCDC.2009.5191796 10.1109/9.739144
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References	ref13 mckay (ref16) 1970; 3 soylemez (ref12) 2003; 39 ref15 johnson (ref2) 2005 podlubny (ref5) 1999; 44 ref11 ref22 ref10 ref21 ref19 ref8 ref7 ref9 neimark (ref14) 1973; 102 ref4 ref6 astrom (ref1) 2005 cheng (ref17) 1999; 30 chang (ref20) 1990; 13 ogata (ref23) 1970 datta (ref3) 2000 borushko (ref18) 1988; 21
References_xml	– ident: ref4 doi: 10.1016/j.automatica.2006.01.008 – ident: ref8 doi: 10.1109/9.995039 – ident: ref15 doi: 10.1049/piee.1969.0264 – volume: 3 start-page: 293 year: 1970 ident: ref16 article-title: the d-partition method applied to systems with dead time and distributed lag publication-title: Meas Control doi: 10.1177/002029407000301001 – ident: ref10 doi: 10.1109/9.983352 – ident: ref19 doi: 10.2514/3.21198 – ident: ref9 doi: 10.1115/DETC2003/VIB-48370 – year: 2005 ident: ref1 publication-title: Advanced PID Control – volume: 13 start-page: 404 year: 1990 ident: ref20 article-title: gain margins and phase margins for control systems with adjustable parameters publication-title: J Guid Control Dyn doi: 10.2514/3.25351 – ident: ref22 doi: 10.1063/1.3050672 – year: 1970 ident: ref23 publication-title: Modern Control Engineering – ident: ref7 doi: 10.1016/j.conengprac.2007.08.006 – ident: ref11 doi: 10.1016/S0045-7906(03)00012-0 – year: 2000 ident: ref3 publication-title: Structure and Synthesis of PID Controllers doi: 10.1007/978-1-4471-3651-4 – volume: 102 start-page: 95 year: 1973 ident: ref14 publication-title: Transactions of the American Mathematical Society – ident: ref21 doi: 10.1080/02533839.2006.9671121 – ident: ref13 doi: 10.1016/S0019-0578(07)60230-4 – volume: 39 start-page: 121 year: 2003 ident: ref12 article-title: fast calculation of stabilizing pid controllers publication-title: Automatica doi: 10.1016/S0005-1098(02)00180-2 – volume: 21 start-page: 64 year: 1988 ident: ref18 article-title: automated synthesis of automated control systems using regions of specified quality publication-title: Soviet J Automation Inf Sci – ident: ref6 doi: 10.1109/CCDC.2009.5191796 – volume: 44 start-page: 208 year: 1999 ident: ref5 article-title: fractional-order systems and -controllers publication-title: IEEE Trans Autom Control doi: 10.1109/9.739144 – year: 2005 ident: ref2 publication-title: PID Control New Identification and Design Methods – volume: 30 start-page: 123 year: 1999 ident: ref17 article-title: on stabilization of time-delay unstable systems using pid controllers publication-title: J Chinese Inst Chem Eng
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Snippet	This technical note presents a solution to the problem of stabilizing a given fractional-order system with time delay using fractional-order Pl lambda D mu... This technical note presents a solution to the problem of stabilizing a given fractional-order system with time delay using fractional-order... This technical note presents a solution to the problem of stabilizing a given fractional-order system with time delay using fractional-order Pl super(lambda)D...
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StartPage	1964
SubjectTerms	Algorithm design and analysis Algorithms Applied sciences Computer science; control theory; systems Control system synthesis Control systems Control theory. Systems Controllers Delay effects Delay systems Design engineering Differential equations Electrical equipment industry Exact sciences and technology Fractional-order PID controller fractional-order systems Gain gain and phase margins Industrial control Open loop systems Proportional integral derivative Stability stabilization System theory Three-term control Time delay
Title	An Algorithm for Stabilization of Fractional-Order Time Delay Systems Using Fractional-Order PID Controllers
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Volume	52
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