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Erschienen in: Intelligent Service Robotics 2/2020

06.01.2020 | Original Research

Fuzzy-backstepping control of quadruped robots

verfasst von: Shabnam Shakourzadeh, Mohammad Farrokhi

Erschienen in: Intelligent Service Robotics | Ausgabe 2/2020

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Abstract

In this paper, fuzzy-backstepping control method is utilized to control quadruped robots. The backstepping control method is inherently a stable control method since its design procedure is based on the Lyapunov stability theory. However, for an acceptable performance of this controller, the feedback gains must be appropriately selected. Using fuzzy systems, these gains are adaptively tuned for best performance of the robot against uncertainties in system parameters, external disturbances, and measurement noises. Next, the stability of the robot is investigated using the Poincaré map stability criterion. This is because the Lyapunov method does not guarantee stability for the periodic systems such as legged robots. The proposed method is simulated on the highly nonlinear equations of a quadruped robot. The performance of the proposed method is compared with the backstepping control to show the importance of fine-tuning the parameters using fuzzy system. The simulating results for a nine-degree-of-freedom quadruped robot show very good performance of the proposed control method, especially against uncertainties in system parameters, external disturbances, and measurement noises, which are common in robots.

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Literatur
1.
Zurück zum Zitat Hoffmann M, Simanek J (2017) The merits of passive compliant joints in legged locomotion: fast learning, superior energy efficiency and versatile sensing in a quadruped robot. J Bionic Eng 14(1):1–14CrossRef Hoffmann M, Simanek J (2017) The merits of passive compliant joints in legged locomotion: fast learning, superior energy efficiency and versatile sensing in a quadruped robot. J Bionic Eng 14(1):1–14CrossRef
2.
Zurück zum Zitat Bououdenand S, Abdessemed F (2014) Walking control for a planar biped robot using 0-flat normal form. Robot Auton Syst 62(1):68–80CrossRef Bououdenand S, Abdessemed F (2014) Walking control for a planar biped robot using 0-flat normal form. Robot Auton Syst 62(1):68–80CrossRef
3.
Zurück zum Zitat Karydis K, Poulakakis I, Tanner HG (2017) A navigation and control strategy for miniature legged robots. IEEE Trans Robot 33(1):214–219CrossRef Karydis K, Poulakakis I, Tanner HG (2017) A navigation and control strategy for miniature legged robots. IEEE Trans Robot 33(1):214–219CrossRef
4.
Zurück zum Zitat Koo IM, Lee TD, Moon YH, Koo J, Park S, Choi HR (2015) Biologically inspired gait transition control for a quadruped walking robot. Auton Robots 39(2):169–182CrossRef Koo IM, Lee TD, Moon YH, Koo J, Park S, Choi HR (2015) Biologically inspired gait transition control for a quadruped walking robot. Auton Robots 39(2):169–182CrossRef
5.
Zurück zum Zitat Na B, Choi H, Kong K (2015) Design of a direct- driven linear actuator for high-speed quadruped robot, Cheetaroid-I. IEEE/ASME Trans Mechatron 20(2):924–933CrossRef Na B, Choi H, Kong K (2015) Design of a direct- driven linear actuator for high-speed quadruped robot, Cheetaroid-I. IEEE/ASME Trans Mechatron 20(2):924–933CrossRef
6.
Zurück zum Zitat Shakourzadeh Sh, Farrokhi M (2016) Optimal gait generation for quadruped robots using mesh adaptive direct search. Int J Math Model Numer Optim 7(1):66–82 Shakourzadeh Sh, Farrokhi M (2016) Optimal gait generation for quadruped robots using mesh adaptive direct search. Int J Math Model Numer Optim 7(1):66–82
7.
Zurück zum Zitat Tran DT, Koo IM, Lee YH, Moon H, Park S, Koo JC, Choi HR (2014) Central pattern generator based reflexive control of quadruped walking robots using a recurrect neural network. Robot Auton Syst 62(10):1497–1516CrossRef Tran DT, Koo IM, Lee YH, Moon H, Park S, Koo JC, Choi HR (2014) Central pattern generator based reflexive control of quadruped walking robots using a recurrect neural network. Robot Auton Syst 62(10):1497–1516CrossRef
8.
Zurück zum Zitat Santos PGD, Garcia E, Estremera J (2008) Quadruped locomotion, 1st edn. Springer, Madrid Santos PGD, Garcia E, Estremera J (2008) Quadruped locomotion, 1st edn. Springer, Madrid
9.
Zurück zum Zitat Zhou J, Wen C (2008) Adaptive backstepping control of uncertain systems, 1st edn. Springer, BerlinMATH Zhou J, Wen C (2008) Adaptive backstepping control of uncertain systems, 1st edn. Springer, BerlinMATH
10.
Zurück zum Zitat Ibari B, Benchikh L, Reda A, Ahmed-Foitih Z (2016) Backstepping approach for autonomous mobile robot trajectory tracking. Indones J Electr Eng Comput Sci IAES 3:478–485 Ibari B, Benchikh L, Reda A, Ahmed-Foitih Z (2016) Backstepping approach for autonomous mobile robot trajectory tracking. Indones J Electr Eng Comput Sci IAES 3:478–485
11.
Zurück zum Zitat Wu H, Karkoub M, Hwang C (2015) Mixed fuzzy sliding-mode tracking with backstepping formation control for multi-nonholonomic mobile robots subject to uncertainties. J Intell Robot Syst 79(1):73–86CrossRef Wu H, Karkoub M, Hwang C (2015) Mixed fuzzy sliding-mode tracking with backstepping formation control for multi-nonholonomic mobile robots subject to uncertainties. J Intell Robot Syst 79(1):73–86CrossRef
12.
Zurück zum Zitat Nikdel N, Badamchizadeh MA, Azimirad V (2017) Adaptive backstepping control for an n-degree of freedom robotic manipulator based combined state augmentation. Robot Comput Integr Manuf 44:129–143CrossRef Nikdel N, Badamchizadeh MA, Azimirad V (2017) Adaptive backstepping control for an n-degree of freedom robotic manipulator based combined state augmentation. Robot Comput Integr Manuf 44:129–143CrossRef
13.
Zurück zum Zitat Wang LJ, Chao W, Tong G (2014) Central pattern generator based gait control for planar quadruped robots. J Shanghai Jiaotong Univ (Sci) 19(1):1–10CrossRef Wang LJ, Chao W, Tong G (2014) Central pattern generator based gait control for planar quadruped robots. J Shanghai Jiaotong Univ (Sci) 19(1):1–10CrossRef
14.
Zurück zum Zitat Chen X, Watanabe K, Kiguchi K, Izumi K (2002) An art-based fuzzy controller for the adaptive navigation of a quadruped robot. IEEE/ASME Trans Mechatron 7(3):318–328CrossRef Chen X, Watanabe K, Kiguchi K, Izumi K (2002) An art-based fuzzy controller for the adaptive navigation of a quadruped robot. IEEE/ASME Trans Mechatron 7(3):318–328CrossRef
15.
Zurück zum Zitat Marhefka DW, Orin DE, Schmiedeler JP, Waldron KJ (2003) Intelligent control of quadruped gallops. IEEE Trans Mechatron 8(4):446–456CrossRef Marhefka DW, Orin DE, Schmiedeler JP, Waldron KJ (2003) Intelligent control of quadruped gallops. IEEE Trans Mechatron 8(4):446–456CrossRef
16.
Zurück zum Zitat Kazemi H, Majd V, Moghaddam M (2013) Modeling and robust backstepping control of an underactuated quadruped robot in bounding motion. Robatica 31(3):423–439CrossRef Kazemi H, Majd V, Moghaddam M (2013) Modeling and robust backstepping control of an underactuated quadruped robot in bounding motion. Robatica 31(3):423–439CrossRef
17.
Zurück zum Zitat Shaocheng T, Changying L, Yongming L (2009) Fuzzy adaptive observer backstepping control for MIMO nonlinear systems. Fuzzy Sets Syst 160(19):2755–2775MathSciNetMATHCrossRef Shaocheng T, Changying L, Yongming L (2009) Fuzzy adaptive observer backstepping control for MIMO nonlinear systems. Fuzzy Sets Syst 160(19):2755–2775MathSciNetMATHCrossRef
18.
Zurück zum Zitat Chen MY, Lin CS (1995) Measurement of robustness for biped locomotion using linearized Poincaré map. In: IEEE international conference on system, man, and cybernetics: intelligent systems for the 21th century, Vancouver, Canada Chen MY, Lin CS (1995) Measurement of robustness for biped locomotion using linearized Poincaré map. In: IEEE international conference on system, man, and cybernetics: intelligent systems for the 21th century, Vancouver, Canada
19.
Zurück zum Zitat Mu X (2004) Dynamics and motion regulation of a five-link biped robot walking in the sagittal plane. Ph.D. thesis, The University of Manitoba, Department of Mechanical and Manufacturing Engineering, Canada Mu X (2004) Dynamics and motion regulation of a five-link biped robot walking in the sagittal plane. Ph.D. thesis, The University of Manitoba, Department of Mechanical and Manufacturing Engineering, Canada
20.
Zurück zum Zitat Lewis FL, Abdallah CT, Dawson DN (2004) Control of robot manipulators: theory and practice. Marcel Dekker Inc, New York Lewis FL, Abdallah CT, Dawson DN (2004) Control of robot manipulators: theory and practice. Marcel Dekker Inc, New York
21.
Zurück zum Zitat Kokotovic PV (1992) The joy of feedback: nonlinear and adaptive. IEEE Control Syst Mag 12(3):7–17CrossRef Kokotovic PV (1992) The joy of feedback: nonlinear and adaptive. IEEE Control Syst Mag 12(3):7–17CrossRef
22.
Zurück zum Zitat Wang LX (1996) A course in fuzzy systems and control, 2nd edn. Wiley, Hoboken Wang LX (1996) A course in fuzzy systems and control, 2nd edn. Wiley, Hoboken
23.
Zurück zum Zitat Grizzle JW, Abba G, Plestan F (2001) Asymptotically stable walking for biped robots: analysis via systems with impulse effects. IEEE Trans Autom Control 46(1):51–64MathSciNetMATHCrossRef Grizzle JW, Abba G, Plestan F (2001) Asymptotically stable walking for biped robots: analysis via systems with impulse effects. IEEE Trans Autom Control 46(1):51–64MathSciNetMATHCrossRef
24.
Zurück zum Zitat Morris B, Grizzle JW (2009) Hybrid invariant manifolds in systems with impulse effects with application to periodic locomotion in bipedal robots. IEEE Trans Autom Control 54(8):1751–1764MathSciNetMATHCrossRef Morris B, Grizzle JW (2009) Hybrid invariant manifolds in systems with impulse effects with application to periodic locomotion in bipedal robots. IEEE Trans Autom Control 54(8):1751–1764MathSciNetMATHCrossRef
25.
Zurück zum Zitat Westervelt E, Grizzle J, Chevallereau C, Choi J, Morris B (2007) Feedback control of dynamic bipedal robot locomotion (control and automation). CRC Press, Boca Raton Westervelt E, Grizzle J, Chevallereau C, Choi J, Morris B (2007) Feedback control of dynamic bipedal robot locomotion (control and automation). CRC Press, Boca Raton
Metadaten
Titel
Fuzzy-backstepping control of quadruped robots
verfasst von
Shabnam Shakourzadeh
Mohammad Farrokhi
Publikationsdatum
06.01.2020
Verlag
Springer Berlin Heidelberg
Erschienen in
Intelligent Service Robotics / Ausgabe 2/2020
Print ISSN: 1861-2776
Elektronische ISSN: 1861-2784
DOI
https://doi.org/10.1007/s11370-019-00309-3

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