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Erschienen in: Soft Computing 2/2021

27.07.2020 | Methodologies and Application

General type-2 fuzzy sliding mode control for motion balance adjusting of power-line inspection robot

verfasst von: Jiahao Liu, Tao Zhao, Songyi Dian

Erschienen in: Soft Computing | Ausgabe 2/2021

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Abstract

In this paper, a novel general type-2 fuzzy sliding mode controller for motion balance adjusting of a power-line inspection robot is developed. The combination method between general type-2 fuzzy system and sliding mode control is different from the existing works. In this paper, sliding mode control is used to finish the motion balance adjusting work. The sliding mode surface is designed according to the Ackermann’s formula. And the general type-2 fuzzy system is used to strengthen the anti-interference ability of the power-line inspection robot. The general type-2 fuzzy sliding mode controller is developed by substituting an element of the sliding mode control law by the output of general type-2 fuzzy system. The novel combination method makes it possible to enhance the anti-interference ability of PLI robot while achieving motion balance control. According to the simulation results, the effectiveness of the proposed controller is proved. And it can also be known that the proposed method is not limited to the GT2FS, and its IT2FS and T1FS counterpart can also strengthen the anti-interference ability in different level.

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Literatur
Zurück zum Zitat Abdelaal ME, Emara HM, Bahgat A (2013) Interval type 2 fuzzy sliding mode control with application to inverted pendulum on a cart. In: 2013 IEEE international conference on industrial technology (ICIT). IEEE, pp 100–105 Abdelaal ME, Emara HM, Bahgat A (2013) Interval type 2 fuzzy sliding mode control with application to inverted pendulum on a cart. In: 2013 IEEE international conference on industrial technology (ICIT). IEEE, pp 100–105
Zurück zum Zitat Ackermann J, Utkin V (1998) Sliding mode control design based on Ackermann’s formula. IEEE Trans Autom Control 43(2):234–237MathSciNetMATHCrossRef Ackermann J, Utkin V (1998) Sliding mode control design based on Ackermann’s formula. IEEE Trans Autom Control 43(2):234–237MathSciNetMATHCrossRef
Zurück zum Zitat Bartolini G (1999) A robust control design for a class of uncertain non-linear systems featuring a second-order sliding mode. Int J Control 72(4):321–331MathSciNetMATHCrossRef Bartolini G (1999) A robust control design for a class of uncertain non-linear systems featuring a second-order sliding mode. Int J Control 72(4):321–331MathSciNetMATHCrossRef
Zurück zum Zitat Bartolini G, Punta E, Zolezzi T (2004) Simplex methods for nonlinear uncertain sliding-mode control. IEEE Trans Autom Control 49(6):922–933MathSciNetMATHCrossRef Bartolini G, Punta E, Zolezzi T (2004) Simplex methods for nonlinear uncertain sliding-mode control. IEEE Trans Autom Control 49(6):922–933MathSciNetMATHCrossRef
Zurück zum Zitat Cai A, Quek C, Maskell DL (2007) Type-2 GA-TSK fuzzy neural network. IEEE Congr Evolut Comput 2007:1578–1585 Cai A, Quek C, Maskell DL (2007) Type-2 GA-TSK fuzzy neural network. IEEE Congr Evolut Comput 2007:1578–1585
Zurück zum Zitat Cai L, Liang Z, Hou Z, et al (2008) Fuzzy control of the inspection robot for obstacle-negotiation. In: 2008 IEEE international conference on networking, sensing and control. IEEE, pp 117–122 Cai L, Liang Z, Hou Z, et al (2008) Fuzzy control of the inspection robot for obstacle-negotiation. In: 2008 IEEE international conference on networking, sensing and control. IEEE, pp 117–122
Zurück zum Zitat Castillo O (2012) Introduction to type-2 fuzzy logic control. Type-2 fuzzy logic in intelligent control applications. Springer, Berlin, pp 3–5CrossRef Castillo O (2012) Introduction to type-2 fuzzy logic control. Type-2 fuzzy logic in intelligent control applications. Springer, Berlin, pp 3–5CrossRef
Zurück zum Zitat Dian S, Hoang S, Pu M et al (2016) Gain scheduling based backstepping control for motion balance adjusting of a power-line inspection robot. In: 35th Chinese control conference (CCC). IEEE 2016, pp 441–446 Dian S, Hoang S, Pu M et al (2016) Gain scheduling based backstepping control for motion balance adjusting of a power-line inspection robot. In: 35th Chinese control conference (CCC). IEEE 2016, pp 441–446
Zurück zum Zitat Dian S, Chen L, Hoang S et al (2018) Gain scheduled dynamic surface control for a class of underactuated mechanical systems using neural network disturbance observer. Neurocomputing 275:1998–2008CrossRef Dian S, Chen L, Hoang S et al (2018) Gain scheduled dynamic surface control for a class of underactuated mechanical systems using neural network disturbance observer. Neurocomputing 275:1998–2008CrossRef
Zurück zum Zitat Edwards C, Spurgeon S (1998) Sliding mode control: theory and applications. CRC Press, Boca RatonMATHCrossRef Edwards C, Spurgeon S (1998) Sliding mode control: theory and applications. CRC Press, Boca RatonMATHCrossRef
Zurück zum Zitat Fei J, Chu Y (2020) Double hidden layer recurrent neural adaptive global sliding mode control of active power filter. IEEE Trans Power Electron 35(3):3069–3084CrossRef Fei J, Chu Y (2020) Double hidden layer recurrent neural adaptive global sliding mode control of active power filter. IEEE Trans Power Electron 35(3):3069–3084CrossRef
Zurück zum Zitat Ghaemi M, Akbarzadeh-Totonchi MR (2014) Indirect adaptive interval type-2 fuzzy PI sliding mode control for a class of uncertain nonlinear systems. Iran J Fuzzy Syst 11(5):1–21MathSciNetMATH Ghaemi M, Akbarzadeh-Totonchi MR (2014) Indirect adaptive interval type-2 fuzzy PI sliding mode control for a class of uncertain nonlinear systems. Iran J Fuzzy Syst 11(5):1–21MathSciNetMATH
Zurück zum Zitat Hirschorn RM (2006) Generalized sliding-mode control for multi-input nonlinear systems. IEEE Trans Autom Control 51(9):1410–1422MathSciNetMATHCrossRef Hirschorn RM (2006) Generalized sliding-mode control for multi-input nonlinear systems. IEEE Trans Autom Control 51(9):1410–1422MathSciNetMATHCrossRef
Zurück zum Zitat Hongwen W, Jinna X, Yaoting L et al (2011) Switch gain fuzzy modulation of sliding mode control based on ackermann’s formula. Comput Meas Control 19(12):2979–2981 Hongwen W, Jinna X, Yaoting L et al (2011) Switch gain fuzzy modulation of sliding mode control based on ackermann’s formula. Comput Meas Control 19(12):2979–2981
Zurück zum Zitat Hosseini SA, Akbarzadeh TMR, Naghibi-Sistani MB (2013) A synchronizing controller using a direct adaptive interval type-2 fuzzy sliding mode strategy. In: 2013 IEEE international conference on fuzzy systems (FUZZ-IEEE). IEEE, pp 1–8 Hosseini SA, Akbarzadeh TMR, Naghibi-Sistani MB (2013) A synchronizing controller using a direct adaptive interval type-2 fuzzy sliding mode strategy. In: 2013 IEEE international conference on fuzzy systems (FUZZ-IEEE). IEEE, pp 1–8
Zurück zum Zitat Hung JY, Gao W, Hung JC (1993) Variable structure control: a survey. IEEE Trans Ind Electron 40(1):2–22CrossRef Hung JY, Gao W, Hung JC (1993) Variable structure control: a survey. IEEE Trans Ind Electron 40(1):2–22CrossRef
Zurück zum Zitat Hwang JH, Kang YC, Park JW et al (2017) Advanced interval type-2 fuzzy sliding mode control for robot manipulator. Comput Intell Neurosci 960849:1–11CrossRef Hwang JH, Kang YC, Park JW et al (2017) Advanced interval type-2 fuzzy sliding mode control for robot manipulator. Comput Intell Neurosci 960849:1–11CrossRef
Zurück zum Zitat Iglesias E, García Y, Sanjuan M et al (2007) Fuzzy surface-based sliding mode control. ISA Trans 46(1):73–83CrossRef Iglesias E, García Y, Sanjuan M et al (2007) Fuzzy surface-based sliding mode control. ISA Trans 46(1):73–83CrossRef
Zurück zum Zitat Juang CF, Hsu CH (2009) Reinforcement ant optimized fuzzy controller for mobile-robot wall-following control. IEEE Trans Ind Electron 56(10):3931–3940CrossRef Juang CF, Hsu CH (2009) Reinforcement ant optimized fuzzy controller for mobile-robot wall-following control. IEEE Trans Ind Electron 56(10):3931–3940CrossRef
Zurück zum Zitat Karnik NN, Mendel JM (1998) Type-2 fuzzy logic systems: type-reduction. In: SMC’98 conference proceedings. 1998 IEEE international conference on systems, man, and cybernetics (Cat. No. 98CH36218), vol 2. IEEE, pp 2046–2051 Karnik NN, Mendel JM (1998) Type-2 fuzzy logic systems: type-reduction. In: SMC’98 conference proceedings. 1998 IEEE international conference on systems, man, and cybernetics (Cat. No. 98CH36218), vol 2. IEEE, pp 2046–2051
Zurück zum Zitat Karnik NN, Mendel JM, Liang Q (1999) Type-2 fuzzy logic systems. IEEE Trans Fuzzy Syst 7(6):643–658CrossRef Karnik NN, Mendel JM, Liang Q (1999) Type-2 fuzzy logic systems. IEEE Trans Fuzzy Syst 7(6):643–658CrossRef
Zurück zum Zitat Khooban MH, Niknam T (2015) A new and robust control strategy for a class of nonlinear power systems: adaptive general type-II fuzzy. Proc Inst Mech Eng Part I J Syst Control Eng 229(6):517–528 Khooban MH, Niknam T (2015) A new and robust control strategy for a class of nonlinear power systems: adaptive general type-II fuzzy. Proc Inst Mech Eng Part I J Syst Control Eng 229(6):517–528
Zurück zum Zitat Khooban MH, Alfi A, Abadi DNM (2013) Teaching-learning-based optimal interval type-2 fuzzy PID controller design: a nonholonomic wheeled mobile robots. Robotica 31(7):1059–1071CrossRef Khooban MH, Alfi A, Abadi DNM (2013) Teaching-learning-based optimal interval type-2 fuzzy PID controller design: a nonholonomic wheeled mobile robots. Robotica 31(7):1059–1071CrossRef
Zurück zum Zitat Khooban MH, Niknam T, Blaabjerg F et al (2016a) Free chattering hybrid sliding mode control for a class of non-linear systems: electric vehicles as a case study. IET Sci Meas Technol 10(7):776–785CrossRef Khooban MH, Niknam T, Blaabjerg F et al (2016a) Free chattering hybrid sliding mode control for a class of non-linear systems: electric vehicles as a case study. IET Sci Meas Technol 10(7):776–785CrossRef
Zurück zum Zitat Khooban MH, Niknam T, Sha-Sadeghi M (2016b) A time-varying general type-II fuzzy sliding mode controller for a class of nonlinear power systems. J Intell Fuzzy Syst 30(5):2927–2937MATHCrossRef Khooban MH, Niknam T, Sha-Sadeghi M (2016b) A time-varying general type-II fuzzy sliding mode controller for a class of nonlinear power systems. J Intell Fuzzy Syst 30(5):2927–2937MATHCrossRef
Zurück zum Zitat Khooban MH, Vafamand N, Liaghat A et al (2017) An optimal general type-2 fuzzy controller for Urban Traffic Network. ISA Trans 66:335–343CrossRef Khooban MH, Vafamand N, Liaghat A et al (2017) An optimal general type-2 fuzzy controller for Urban Traffic Network. ISA Trans 66:335–343CrossRef
Zurück zum Zitat Li H, Gao Y, Shi P et al (2016a) Observer-based fault detection for nonlinear systems with sensor fault and limited communication capacity. IEEE Trans Autom Control 61(9):2745–2751MathSciNetMATHCrossRef Li H, Gao Y, Shi P et al (2016a) Observer-based fault detection for nonlinear systems with sensor fault and limited communication capacity. IEEE Trans Autom Control 61(9):2745–2751MathSciNetMATHCrossRef
Zurück zum Zitat Li C, Gao J, Yi J et al (2016b) Analysis and design of functionally weighted single-input-rule-modules connected fuzzy inference systems. IEEE Trans Fuzzy Syst 26(1):56–71CrossRef Li C, Gao J, Yi J et al (2016b) Analysis and design of functionally weighted single-input-rule-modules connected fuzzy inference systems. IEEE Trans Fuzzy Syst 26(1):56–71CrossRef
Zurück zum Zitat Li Y, Liu L, Feng G (2018) Robust adaptive output feedback control to a class of non-triangular stochastic nonlinear systems. Automatica 89:325–332MathSciNetMATHCrossRef Li Y, Liu L, Feng G (2018) Robust adaptive output feedback control to a class of non-triangular stochastic nonlinear systems. Automatica 89:325–332MathSciNetMATHCrossRef
Zurück zum Zitat Lin TC, Chen MC (2011) Adaptive hybrid type-2 intelligent sliding mode control for uncertain nonlinear multivariable dynamical systems. Fuzzy Sets Syst 171(1):44–71MathSciNetMATHCrossRef Lin TC, Chen MC (2011) Adaptive hybrid type-2 intelligent sliding mode control for uncertain nonlinear multivariable dynamical systems. Fuzzy Sets Syst 171(1):44–71MathSciNetMATHCrossRef
Zurück zum Zitat Lin TC, Liu HL, Kuo MJ (2009) Direct adaptive interval type-2 fuzzy control of multivariable nonlinear systems. Eng Appl Artif Intell 22(3):420–430CrossRef Lin TC, Liu HL, Kuo MJ (2009) Direct adaptive interval type-2 fuzzy control of multivariable nonlinear systems. Eng Appl Artif Intell 22(3):420–430CrossRef
Zurück zum Zitat Lin TC, Chen MC, Roopaei M (2011) Synchronization of uncertain chaotic systems based on adaptive type-2 fuzzy sliding mode control. Eng Appl Artif Intell 24(1):39–49CrossRef Lin TC, Chen MC, Roopaei M (2011) Synchronization of uncertain chaotic systems based on adaptive type-2 fuzzy sliding mode control. Eng Appl Artif Intell 24(1):39–49CrossRef
Zurück zum Zitat Liu F (2008) An efficient centroid type-reduction strategy for general type-2 fuzzy logic system. Inf Sci 178(9):2224–2236MathSciNetCrossRef Liu F (2008) An efficient centroid type-reduction strategy for general type-2 fuzzy logic system. Inf Sci 178(9):2224–2236MathSciNetCrossRef
Zurück zum Zitat Liu J, Wang X (2012) Advanced sliding mode control for mechanical systems. Springer, BerlinMATH Liu J, Wang X (2012) Advanced sliding mode control for mechanical systems. Springer, BerlinMATH
Zurück zum Zitat Mendel JM (2014) General type-2 fuzzy logic systems made simple: a tutorial. IEEE Trans Fuzzy Syst 22(5):1162–1182CrossRef Mendel JM (2014) General type-2 fuzzy logic systems made simple: a tutorial. IEEE Trans Fuzzy Syst 22(5):1162–1182CrossRef
Zurück zum Zitat Moha’med O, Al-Jumaily AA (2007) Training type-2 fuzzy system by particle swarm optimization. IEEE Congr Evolut Comput 2007:3442–3446 Moha’med O, Al-Jumaily AA (2007) Training type-2 fuzzy system by particle swarm optimization. IEEE Congr Evolut Comput 2007:3442–3446
Zurück zum Zitat Nafia N, El Kari A, Ayad H et al (2018) A robust type-2 fuzzy sliding mode controller for disturbed MIMO nonlinear systems with unknown dynamics. Autom J Control Meas Electron Comput Commun 59(2):194–207 Nafia N, El Kari A, Ayad H et al (2018) A robust type-2 fuzzy sliding mode controller for disturbed MIMO nonlinear systems with unknown dynamics. Autom J Control Meas Electron Comput Commun 59(2):194–207
Zurück zum Zitat Nguyen SD, Vo HD, Seo TI (2017) Nonlinear adaptive control based on fuzzy sliding mode technique and fuzzy-based compensator. ISA Trans 70:309–321CrossRef Nguyen SD, Vo HD, Seo TI (2017) Nonlinear adaptive control based on fuzzy sliding mode technique and fuzzy-based compensator. ISA Trans 70:309–321CrossRef
Zurück zum Zitat Niknam T, Khooban MH, Kavousifard A et al (2014) An optimal type II fuzzy sliding mode control design for a class of nonlinear systems. Nonlinear Dyn 75(1–2):73–83MathSciNetCrossRef Niknam T, Khooban MH, Kavousifard A et al (2014) An optimal type II fuzzy sliding mode control design for a class of nonlinear systems. Nonlinear Dyn 75(1–2):73–83MathSciNetCrossRef
Zurück zum Zitat Niu Y, Ho DWC (2006) Design of sliding mode control for nonlinear stochastic systems subject to actuator nonlinearity. IEE Proc Control Theory Appl 153(6):737–744MathSciNetCrossRef Niu Y, Ho DWC (2006) Design of sliding mode control for nonlinear stochastic systems subject to actuator nonlinearity. IEE Proc Control Theory Appl 153(6):737–744MathSciNetCrossRef
Zurück zum Zitat Shahsadeghi M, Khooban MH, Niknam T (2014) A robust and simple optimal type II fuzzy sliding mode control strategy for a class of nonlinear chaotic systems. J Intell Fuzzy Syst 27(4):1849–1859MathSciNetMATHCrossRef Shahsadeghi M, Khooban MH, Niknam T (2014) A robust and simple optimal type II fuzzy sliding mode control strategy for a class of nonlinear chaotic systems. J Intell Fuzzy Syst 27(4):1849–1859MathSciNetMATHCrossRef
Zurück zum Zitat Song Z, Sun K (2014) Adaptive backstepping sliding mode control with fuzzy monitoring strategy for a kind of mechanical system. ISA Trans 53(1):125–133MathSciNetCrossRef Song Z, Sun K (2014) Adaptive backstepping sliding mode control with fuzzy monitoring strategy for a kind of mechanical system. ISA Trans 53(1):125–133MathSciNetCrossRef
Zurück zum Zitat Xie X, Yue D, Peng C (2018) Relaxed real-time scheduling stabilization of discrete-time Takagi–Sugeno fuzzy systems via an alterable-weights-based ranking switching mechanism. IEEE Trans Fuzzy Syst 26(6):3808–3819CrossRef Xie X, Yue D, Peng C (2018) Relaxed real-time scheduling stabilization of discrete-time Takagi–Sugeno fuzzy systems via an alterable-weights-based ranking switching mechanism. IEEE Trans Fuzzy Syst 26(6):3808–3819CrossRef
Zurück zum Zitat Xin X, Kaneda M (2007) Swing-up control for a 3-DOF gymnastic robot with passive first joint: design and analysis. IEEE Trans Robot 23(6):1277–1285CrossRef Xin X, Kaneda M (2007) Swing-up control for a 3-DOF gymnastic robot with passive first joint: design and analysis. IEEE Trans Robot 23(6):1277–1285CrossRef
Zurück zum Zitat Xu Y (2010) Multi-timescale nonlinear robust control for a miniature helicopter. IEEE Trans Aerosp Electron syst 46(2):656–671CrossRef Xu Y (2010) Multi-timescale nonlinear robust control for a miniature helicopter. IEEE Trans Aerosp Electron syst 46(2):656–671CrossRef
Zurück zum Zitat Yang D, Feng Z, Sha R et al (2019) Robust control of a class of under-actuated mechanical systems with model uncertainty. Int J Control 92(7):1567–1579 MathSciNetMATHCrossRef Yang D, Feng Z, Sha R et al (2019) Robust control of a class of under-actuated mechanical systems with model uncertainty. Int J Control 92(7):1567–1579 MathSciNetMATHCrossRef
Zurück zum Zitat Yu S, Yu X, Shirinzadeh B et al (2005) Continuous finite-time control for robotic manipulators with terminal sliding mode. Automatica 41(4):1957–1964MathSciNetMATHCrossRef Yu S, Yu X, Shirinzadeh B et al (2005) Continuous finite-time control for robotic manipulators with terminal sliding mode. Automatica 41(4):1957–1964MathSciNetMATHCrossRef
Zurück zum Zitat Zhao T, Dian S (2018) State feedback control for interval type-2 fuzzy systems with time-varying delay and unreliable Communication Links. IEEE Trans Fuzzy Syst 26(2):951–966CrossRef Zhao T, Dian S (2018) State feedback control for interval type-2 fuzzy systems with time-varying delay and unreliable Communication Links. IEEE Trans Fuzzy Syst 26(2):951–966CrossRef
Zurück zum Zitat Zhao T, Liu J, Dian S (2019a) Finite-time control for interval type-2 fuzzy time-delay systems with norm-bounded uncertainties and limited communication capacity. Inf Sci 483:153–173MathSciNetMATHCrossRef Zhao T, Liu J, Dian S (2019a) Finite-time control for interval type-2 fuzzy time-delay systems with norm-bounded uncertainties and limited communication capacity. Inf Sci 483:153–173MathSciNetMATHCrossRef
Zurück zum Zitat Zhao T, Huang MB, Dian SY (2019c) Stability and stabilization of TS fuzzy systems with two additive time-varying delays. Inf Sci 494:174–192MATHCrossRef Zhao T, Huang MB, Dian SY (2019c) Stability and stabilization of TS fuzzy systems with two additive time-varying delays. Inf Sci 494:174–192MATHCrossRef
Zurück zum Zitat Zhao T, Chen CS, Dian SY (2020a) Local stability and stabilization of uncertain nonlinear systems with two additive time-varying delays. Commun Nonlinear Sci Numer Simul 83:105097MathSciNetMATHCrossRef Zhao T, Chen CS, Dian SY (2020a) Local stability and stabilization of uncertain nonlinear systems with two additive time-varying delays. Commun Nonlinear Sci Numer Simul 83:105097MathSciNetMATHCrossRef
Metadaten
Titel
General type-2 fuzzy sliding mode control for motion balance adjusting of power-line inspection robot
verfasst von
Jiahao Liu
Tao Zhao
Songyi Dian
Publikationsdatum
27.07.2020
Verlag
Springer Berlin Heidelberg
Erschienen in
Soft Computing / Ausgabe 2/2021
Print ISSN: 1432-7643
Elektronische ISSN: 1433-7479
DOI
https://doi.org/10.1007/s00500-020-05202-1

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