Skip to main content
Erschienen in: Neural Computing and Applications 1/2013

01.12.2013 | Original Article

Adaptive fuzzy tuning of PID controllers

verfasst von: Morteza Esfandyari, Mohammad Ali Fanaei, Hadi Zohreie

Erschienen in: Neural Computing and Applications | Sonderheft 1/2013

Einloggen

Aktivieren Sie unsere intelligente Suche, um passende Fachinhalte oder Patente zu finden.

search-config
loading …

Abstract

In this paper, the performances of fuzzy proportional-integral-derivative (PID) and classic PID controllers are compared through simulation studies. For this purpose, the level control of a two interacting tanks system, temperature control of unstable continuous stirred tank reactor (CSTR), and pH control of pH neutralization process were selected. In the level control process, results indicated that both of classic and fuzzy PID controllers have approximately the same performance. However, adjusting the classic PID controller is simpler than fuzzy PID controller. Therefore, in simple processes like level control in two interacting tanks, classic PID controllers are preferred. In an unstable CSTR, classic PID controller is not suitable due to the instability of the system. Fuzzy PID controller is more useful than classic PID controller in this type of systems. In pH neutralization process, using classic PID controller is inappropriate because of nonlinearity of the system and the fuzzy PID controller is more efficient.

Sie haben noch keine Lizenz? Dann Informieren Sie sich jetzt über unsere Produkte:

Springer Professional "Wirtschaft"

Online-Abonnement

Mit Springer Professional "Wirtschaft" erhalten Sie Zugriff auf:

  • über 67.000 Bücher
  • über 340 Zeitschriften

aus folgenden Fachgebieten:

  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Finance + Banking
  • Management + Führung
  • Marketing + Vertrieb
  • Versicherung + Risiko




Jetzt Wissensvorsprung sichern!

Springer Professional "Technik"

Online-Abonnement

Mit Springer Professional "Technik" erhalten Sie Zugriff auf:

  • über 67.000 Bücher
  • über 390 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Maschinenbau + Werkstoffe




 

Jetzt Wissensvorsprung sichern!

Springer Professional "Wirtschaft+Technik"

Online-Abonnement

Mit Springer Professional "Wirtschaft+Technik" erhalten Sie Zugriff auf:

  • über 102.000 Bücher
  • über 537 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Finance + Banking
  • Management + Führung
  • Marketing + Vertrieb
  • Maschinenbau + Werkstoffe
  • Versicherung + Risiko

Jetzt Wissensvorsprung sichern!

Literatur
2.
Zurück zum Zitat Yang Q, Li G, Kang X (2008) Application of fuzzy PID control in the heating system. CCDC, 2686–2690 Yang Q, Li G, Kang X (2008) Application of fuzzy PID control in the heating system. CCDC, 2686–2690
3.
Zurück zum Zitat Wang J, An D, Lou C (2006) Application of fuzzy-PID controller in heating ventilating and air-conditioning system. IEEE ICMA, pp 2217–2222 Wang J, An D, Lou C (2006) Application of fuzzy-PID controller in heating ventilating and air-conditioning system. IEEE ICMA, pp 2217–2222
4.
Zurück zum Zitat Woo ZW, Chung HY, Lin JJ (2000) A PID type fuzzy controller with self-tuning scaling factors. Fuzzy Set Syst 115:321–326CrossRefMATH Woo ZW, Chung HY, Lin JJ (2000) A PID type fuzzy controller with self-tuning scaling factors. Fuzzy Set Syst 115:321–326CrossRefMATH
5.
Zurück zum Zitat Godjevac J, Comparison between PID and fuzzy control, Internal Report R93.36I, LAMI IN F EPFL Ecublens Godjevac J, Comparison between PID and fuzzy control, Internal Report R93.36I, LAMI IN F EPFL Ecublens
6.
Zurück zum Zitat Al-Odienat AI, Al-Lawama AA (2008) The advantages of PID fuzzy controllers over the conventional types. Am J Appl Sci 5:653–658CrossRef Al-Odienat AI, Al-Lawama AA (2008) The advantages of PID fuzzy controllers over the conventional types. Am J Appl Sci 5:653–658CrossRef
7.
Zurück zum Zitat Mohan BM, Sinha A (2008) Analytical structure and stability analysis of a fuzzy PID controller. Appl Soft Comput 8:749–758CrossRef Mohan BM, Sinha A (2008) Analytical structure and stability analysis of a fuzzy PID controller. Appl Soft Comput 8:749–758CrossRef
8.
Zurück zum Zitat Mamdani EH, Assilian S (1975) An experiment in linguistic synthesis with a fuzzy logic controller. Int J Man-Math Stud 7:1–13CrossRefMATH Mamdani EH, Assilian S (1975) An experiment in linguistic synthesis with a fuzzy logic controller. Int J Man-Math Stud 7:1–13CrossRefMATH
9.
Zurück zum Zitat Mann GKI, Hu BG, Gosine RG (1999) Analysis of direct action fuzzy PID controller structures. IEEE Trans SMC Pt. B 29:371–388 Mann GKI, Hu BG, Gosine RG (1999) Analysis of direct action fuzzy PID controller structures. IEEE Trans SMC Pt. B 29:371–388
10.
Zurück zum Zitat Fadaei A, Salahshoor K (2008) Design and implementation of a new fuzzy PID controller for networked control systems. ISA Trans 47:351–361CrossRef Fadaei A, Salahshoor K (2008) Design and implementation of a new fuzzy PID controller for networked control systems. ISA Trans 47:351–361CrossRef
11.
Zurück zum Zitat Mohan BM, Sinha A (2008) Analytical structure and stability analysis of a fuzzy PID controller. Appl Soft Comput 8:749–758CrossRef Mohan BM, Sinha A (2008) Analytical structure and stability analysis of a fuzzy PID controller. Appl Soft Comput 8:749–758CrossRef
12.
Zurück zum Zitat Soyguder S, Karakose M, Alli H (2009) Design and simulation of self-tuning PID-type fuzzy adaptive control for an expert HVAC system. Expert Syst Appl 36:4566–4573CrossRef Soyguder S, Karakose M, Alli H (2009) Design and simulation of self-tuning PID-type fuzzy adaptive control for an expert HVAC system. Expert Syst Appl 36:4566–4573CrossRef
13.
Zurück zum Zitat Zhao ZY, Tomizuka M, Isaka S (1993) Fuzzy gain scheduling of PID controllers. IEEE Trans Syst Man Cybern 23:1392–1398CrossRef Zhao ZY, Tomizuka M, Isaka S (1993) Fuzzy gain scheduling of PID controllers. IEEE Trans Syst Man Cybern 23:1392–1398CrossRef
14.
Zurück zum Zitat Tzafestas SG, Papanikolopoulos NP (1990) Incremental fuzzy expert PID control. IEEE Trans Ind Electron 37:365–371CrossRef Tzafestas SG, Papanikolopoulos NP (1990) Incremental fuzzy expert PID control. IEEE Trans Ind Electron 37:365–371CrossRef
15.
Zurück zum Zitat Li W, Chang XG, Wahl FM, Farrell J (2001) Tracking control of a manipulator under uncertainty by fuzzy P + ID controller. Fuzzy Set Syst 122:125–137MathSciNetCrossRefMATH Li W, Chang XG, Wahl FM, Farrell J (2001) Tracking control of a manipulator under uncertainty by fuzzy P + ID controller. Fuzzy Set Syst 122:125–137MathSciNetCrossRefMATH
16.
Zurück zum Zitat Passino KM (1995) Intelligent control for autonomous systems. IEEE Spectr 32(6):55–62 Passino KM (1995) Intelligent control for autonomous systems. IEEE Spectr 32(6):55–62
17.
Zurück zum Zitat Li W, Zhang B (1993) Fuzzy control of robot manipulators in the presence of joint friction and loads changes. In: Proceeding 1993 ASME international computational engineering conference Li W, Zhang B (1993) Fuzzy control of robot manipulators in the presence of joint friction and loads changes. In: Proceeding 1993 ASME international computational engineering conference
18.
Zurück zum Zitat Li W (1997) A method for design of a hybrid neuro-fuzzy control system based on behavior modeling. IEEE Trans Fuzzy Syst 5:128–137CrossRef Li W (1997) A method for design of a hybrid neuro-fuzzy control system based on behavior modeling. IEEE Trans Fuzzy Syst 5:128–137CrossRef
19.
Zurück zum Zitat Infelise N (1991) A clear vision of fuzzy logic. Control Eng 39:28–31 Infelise N (1991) A clear vision of fuzzy logic. Control Eng 39:28–31
20.
Zurück zum Zitat Li W (1998) Design of a hybrid logic proportional plus conventional integral derivative controller. IEEE Trans Fuzzy Syst 6:449–463CrossRef Li W (1998) Design of a hybrid logic proportional plus conventional integral derivative controller. IEEE Trans Fuzzy Syst 6:449–463CrossRef
21.
Zurück zum Zitat Bekit BW, Seneviratne LD, Whidborne JF, Althoefer K (1998) Fuzzy PID tuning for robot manipulators. In: Industrial Electronics Society, proceedings of the 24th annual conference of the IEEE, pp 2452–2457 Bekit BW, Seneviratne LD, Whidborne JF, Althoefer K (1998) Fuzzy PID tuning for robot manipulators. In: Industrial Electronics Society, proceedings of the 24th annual conference of the IEEE, pp 2452–2457
22.
Zurück zum Zitat Dahlin EB (1970) Designing and tuning digital controllers. Instrum Technol 41:77–83 and 87–89 Dahlin EB (1970) Designing and tuning digital controllers. Instrum Technol 41:77–83 and 87–89
23.
Zurück zum Zitat Carvajal J, Chen G, Ogmen H (2000) Fuzzy PID controller: design, performance evaluation, and stability analysis. Inform Sci 123:249–270MathSciNetCrossRefMATH Carvajal J, Chen G, Ogmen H (2000) Fuzzy PID controller: design, performance evaluation, and stability analysis. Inform Sci 123:249–270MathSciNetCrossRefMATH
24.
Zurück zum Zitat Chen G (1996) Conventional and fuzzy PID controllers: an overview. Int J Control Autom Syst 1:235–246 Chen G (1996) Conventional and fuzzy PID controllers: an overview. Int J Control Autom Syst 1:235–246
25.
Zurück zum Zitat Chen G, Pham TT (2000) Introduction to fuzzy sets, fuzzy logic, and fuzzy control systems. CRC Press, Boca RatonCrossRef Chen G, Pham TT (2000) Introduction to fuzzy sets, fuzzy logic, and fuzzy control systems. CRC Press, Boca RatonCrossRef
26.
Zurück zum Zitat Chen G, Ying H (1997) BIBO stability of nonlinear fuzzy PI control systems. Int J Control Autom Syst 5:3–21 Chen G, Ying H (1997) BIBO stability of nonlinear fuzzy PI control systems. Int J Control Autom Syst 5:3–21
27.
Zurück zum Zitat Malki HA, Feigenspan D, Misir D, Chen G (1997) Fuzzy PID control of a flexible- joint robot arm with uncertainties from time-varying loads. IEEE Trans Fuzzy Syst Technol 5:371–378CrossRef Malki HA, Feigenspan D, Misir D, Chen G (1997) Fuzzy PID control of a flexible- joint robot arm with uncertainties from time-varying loads. IEEE Trans Fuzzy Syst Technol 5:371–378CrossRef
28.
Zurück zum Zitat Malki HA, Li H, Chen G (1994) New design and stability analysis of fuzzy proportional-derivative control systems. IEEE Trans Fuzzy Syst 2:245–254CrossRef Malki HA, Li H, Chen G (1994) New design and stability analysis of fuzzy proportional-derivative control systems. IEEE Trans Fuzzy Syst 2:245–254CrossRef
29.
Zurück zum Zitat Misir D, Malki HA, Chen G (1996) Design and analysis of a fuzzy proportional- integral-derivative controller. Fuzzy Set Syst 79:297–314MathSciNetCrossRefMATH Misir D, Malki HA, Chen G (1996) Design and analysis of a fuzzy proportional- integral-derivative controller. Fuzzy Set Syst 79:297–314MathSciNetCrossRefMATH
30.
Zurück zum Zitat Sooraksa P, Chen G (1998) Mathematical modeling and fuzzy control of flexible robot arms. Math Comput Model 27:73–93CrossRefMATH Sooraksa P, Chen G (1998) Mathematical modeling and fuzzy control of flexible robot arms. Math Comput Model 27:73–93CrossRefMATH
31.
Zurück zum Zitat Zhang H, Liu D (2006) Fuzzy modeling and fuzzy control. Birkhauser Basel, SpringerMATH Zhang H, Liu D (2006) Fuzzy modeling and fuzzy control. Birkhauser Basel, SpringerMATH
32.
Zurück zum Zitat Sanchez EG, Becerra HM, Velez CM (2007) Combining fuzzy, PID and regulation control for an autonomous mini-helicopter. Inform Sci 177:1999–2022CrossRef Sanchez EG, Becerra HM, Velez CM (2007) Combining fuzzy, PID and regulation control for an autonomous mini-helicopter. Inform Sci 177:1999–2022CrossRef
33.
Zurück zum Zitat Wang LX (1997) A course in fuzzy systems and control. Prentice-Hall, New YorkMATH Wang LX (1997) A course in fuzzy systems and control. Prentice-Hall, New YorkMATH
34.
Zurück zum Zitat Sivanandam SN, Sumathi S, Deepa SN (2007) Introduction to fuzzy logic using MATLAB. Springer, BerlinCrossRefMATH Sivanandam SN, Sumathi S, Deepa SN (2007) Introduction to fuzzy logic using MATLAB. Springer, BerlinCrossRefMATH
35.
Zurück zum Zitat Smith CA, Corripio AB (2006) Principle and practice of automatic process control, 3rd edn. Wiley, New York Smith CA, Corripio AB (2006) Principle and practice of automatic process control, 3rd edn. Wiley, New York
36.
Zurück zum Zitat Sivanandam SN, Sumathi S, Deepa SN (2007) Introduction to fuzzy logic using MATLAB. Springer, BerlinCrossRefMATH Sivanandam SN, Sumathi S, Deepa SN (2007) Introduction to fuzzy logic using MATLAB. Springer, BerlinCrossRefMATH
37.
Zurück zum Zitat Ahn KK, Truong DQ (2009) Online tuning fuzzy PID controller using robust extended Kalman filter. J Process Control 19:1011–1023CrossRef Ahn KK, Truong DQ (2009) Online tuning fuzzy PID controller using robust extended Kalman filter. J Process Control 19:1011–1023CrossRef
38.
Zurück zum Zitat Suresh M, Jeersamy Srinivasan G, Hemamalini RR (2009) Integrated fuzzy logic based intelligent control of three-tank system. Serbian J Electr Eng 6:1–14CrossRef Suresh M, Jeersamy Srinivasan G, Hemamalini RR (2009) Integrated fuzzy logic based intelligent control of three-tank system. Serbian J Electr Eng 6:1–14CrossRef
39.
40.
Zurück zum Zitat Limqueco LC, Kantor JC (1990) Nonlinear output feedback control of and exothermic reactor. Comput Chem Eng 14:427–437CrossRef Limqueco LC, Kantor JC (1990) Nonlinear output feedback control of and exothermic reactor. Comput Chem Eng 14:427–437CrossRef
41.
Zurück zum Zitat Russo L, Bequette W (1995) Impact of process design on the multiplicity behavior of a jacket exothermic CSTR. AIChE J 41:135–147CrossRef Russo L, Bequette W (1995) Impact of process design on the multiplicity behavior of a jacket exothermic CSTR. AIChE J 41:135–147CrossRef
42.
Zurück zum Zitat Dittmar R, Ogonowski Z, Damert K (1991) Predictive control of a nonlinear open-loop unstable polymerization reactor. Chem Eng Sci 46:2679–2689CrossRef Dittmar R, Ogonowski Z, Damert K (1991) Predictive control of a nonlinear open-loop unstable polymerization reactor. Chem Eng Sci 46:2679–2689CrossRef
43.
Zurück zum Zitat Nikhravesh M, Farell AE, Standford TG (2000) Control of non-isothermal CSTR with time varying parameter via dynamic neural network control. Chem Eng J 76:1–16CrossRef Nikhravesh M, Farell AE, Standford TG (2000) Control of non-isothermal CSTR with time varying parameter via dynamic neural network control. Chem Eng J 76:1–16CrossRef
44.
Zurück zum Zitat Khaksar Toroghi M, Fanaei MA, Shahroki M (2009) Fuzzy self-tuning PID control of an unstable continuous stirred tank reactor. In: The 6th international chemical engineering congress and exhibition, Kish, Iran Khaksar Toroghi M, Fanaei MA, Shahroki M (2009) Fuzzy self-tuning PID control of an unstable continuous stirred tank reactor. In: The 6th international chemical engineering congress and exhibition, Kish, Iran
45.
Zurück zum Zitat Saraf V, Zhao F, Bequette BW (2003) Relay autotuning of cascade-controlled open-loop unstable reactors. Ind Eng Chem Res 42:4488–4494CrossRef Saraf V, Zhao F, Bequette BW (2003) Relay autotuning of cascade-controlled open-loop unstable reactors. Ind Eng Chem Res 42:4488–4494CrossRef
46.
Zurück zum Zitat Williams GL, Rhinehart RR, Riggs JB (1990) In-line process-model-based control of wastewater pH using dual base injection. Ind Eng Chem Res 29:1254–1259CrossRef Williams GL, Rhinehart RR, Riggs JB (1990) In-line process-model-based control of wastewater pH using dual base injection. Ind Eng Chem Res 29:1254–1259CrossRef
47.
Zurück zum Zitat Ashoori A, Moshiri B, Ramezani A, Bakhtiari MR, Khaki-Sedigh A (2008) pH Control of a fed-batch fermentation process using model predictive control, presented at the 14th international congress of cybernetics and systems of WOSC (ICCS 2008), Sept. 9–12, Wroclaw, Poland Ashoori A, Moshiri B, Ramezani A, Bakhtiari MR, Khaki-Sedigh A (2008) pH Control of a fed-batch fermentation process using model predictive control, presented at the 14th international congress of cybernetics and systems of WOSC (ICCS 2008), Sept. 9–12, Wroclaw, Poland
48.
Zurück zum Zitat Kulkarni BD, Tambe SS, Shukla NV, Deshpande PB (1991) Nonlinear pH control. Chem Eng Sci 46:995–1003CrossRef Kulkarni BD, Tambe SS, Shukla NV, Deshpande PB (1991) Nonlinear pH control. Chem Eng Sci 46:995–1003CrossRef
49.
Zurück zum Zitat Gustafsson TK, Waller KV (1983) Dynamic modeling and reaction invariant control of pH. Chem Eng Sci 38:389–398CrossRef Gustafsson TK, Waller KV (1983) Dynamic modeling and reaction invariant control of pH. Chem Eng Sci 38:389–398CrossRef
50.
Zurück zum Zitat Shinskey FG (1973) pH and pION control in process and waste streams. Wiley, New York Shinskey FG (1973) pH and pION control in process and waste streams. Wiley, New York
51.
Zurück zum Zitat Lin J, Yu C (1993) Automatic tuning and gain scheduling for pH control. Chem Eng Sci 48:3159–3171CrossRef Lin J, Yu C (1993) Automatic tuning and gain scheduling for pH control. Chem Eng Sci 48:3159–3171CrossRef
52.
Zurück zum Zitat Gulaian M, Lane J (1990) Titration curve estimation for adaptive pH control. In: Proceedings of the American control conference, pp 1414–1419 Gulaian M, Lane J (1990) Titration curve estimation for adaptive pH control. In: Proceedings of the American control conference, pp 1414–1419
53.
Zurück zum Zitat Regunath S, Kadirkamanathan V (2001) Design of a pH control system using fuzzy non- uniform grid scheduling and evolutionary programming. Appl Soft Comput 1:91–104CrossRef Regunath S, Kadirkamanathan V (2001) Design of a pH control system using fuzzy non- uniform grid scheduling and evolutionary programming. Appl Soft Comput 1:91–104CrossRef
54.
Zurück zum Zitat Adroer M, Alsina A, Aumatell J, Poch M (1999) Wastewater neutralization control based on fuzzy logic: experimental results. J Ind Eng Chem 38:2709–2719CrossRef Adroer M, Alsina A, Aumatell J, Poch M (1999) Wastewater neutralization control based on fuzzy logic: experimental results. J Ind Eng Chem 38:2709–2719CrossRef
55.
Zurück zum Zitat Salehi Sh, Shahrokhi M, Nejati A (2009) Adaptive nonlinear control of pH neutralization processes using fuzzy approximators. Control Eng Pract 17:1329–1337CrossRef Salehi Sh, Shahrokhi M, Nejati A (2009) Adaptive nonlinear control of pH neutralization processes using fuzzy approximators. Control Eng Pract 17:1329–1337CrossRef
56.
Zurück zum Zitat McAvoy TJ, Hsu E, Lowenthal S (1972) Dynamics of pH in controlled stirred tank reactor. Ind Eng Chem Process Des Dev 1:68–70CrossRef McAvoy TJ, Hsu E, Lowenthal S (1972) Dynamics of pH in controlled stirred tank reactor. Ind Eng Chem Process Des Dev 1:68–70CrossRef
Metadaten
Titel
Adaptive fuzzy tuning of PID controllers
verfasst von
Morteza Esfandyari
Mohammad Ali Fanaei
Hadi Zohreie
Publikationsdatum
01.12.2013
Verlag
Springer London
Erschienen in
Neural Computing and Applications / Ausgabe Sonderheft 1/2013
Print ISSN: 0941-0643
Elektronische ISSN: 1433-3058
DOI
https://doi.org/10.1007/s00521-012-1215-8

Weitere Artikel der Sonderheft 1/2013

Neural Computing and Applications 1/2013 Zur Ausgabe

Premium Partner