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1.  School of Mathematics and Computer Science, Fujian Normal University, Fuzhou, 350007, China 
References:
[1] 
K. J. Astrom, R. E. Klein and A. Lennartsson, Bicycle dynamics and control, IEEE Control Systems Magazine, 25 (2005), 2647. doi: 10.1109/MCS.2005.1499389. 
[2] 
C. K. Chen and T. K. Dao, Speedadaptive rollangletracking control of an unmanned bicycle using fuzzy logic, Vehicle System Dynamics, 48 (2010), 133147. 
[3] 
C. Cornejo and L. AlvarezIcaza, Passivity based control of underactuated mechanical systems with nonlinear dynamic friction, J. Vibration and Control, 18 (2012), 10251042. doi: 10.1177/1077546311408469. 
[4] 
M. L. Fair and S. L. Campbell, Active incipient fault detection in continuous time systems with multiple simultaneous faults, Numerical Algebra, Control and Optimization, 1 (2011), 211224. doi: 10.3934/naco.2011.1.211. 
[5] 
L. Feng, Robust Control Design: An Optimal Control Approach, Wayne State University, USA and Tongji University, China, John Wiley and Sons Ltd, 2007. 
[6] 
N. H. Getz, Dynamic Inversion of Nonlinear Maps with Applications to Nonlinear Control and Robotics, Ph.D. Dissertation, University of California, 1995. 
[7] 
Y. Harata, Y. Banno and K. Taji, Parametric excitation based bipedal walking: Control method and optimization, Numerical Algebra, Control and Optimization, 1 (2011), 171190. doi: 10.3934/naco.2011.1.171. 
[8] 
C. L. Hwang, H. M. Wu and C. L. Shih, Fuzzy slidingmode underactuated control for autonomous dynamic balance of an electrical bicycle, IEEE Trans. Control Systems Technology, 17 (2009), 658670. 
[9] 
N. H. K. Iuchi, H. Niki and T. Murakami, Attitude control of bicycle motion by steering angle and variable COG control, Proc. 31st Annual Conference of IEEE Industrial Electronics Society, IECON, (2005), 1621. 
[10] 
R. N. Jazar, Mathematical theory of autodriver for autonomous vehicles, J. Vibration and Control, 16 (2010), 253279. doi: 10.1177/1077546309104467. 
[11] 
R. Khaled and N. G. Chalhoub, A dynamic model and a robust controller for a fullyactuated marine surface vessel, J. Vibration and Control, 17 (2011), 801812. 
[12] 
L. Lujng, System Identification Theory for User, Linkopping University, Sweden. 
[13] 
M. S. Mahmoud, ComputerOperated Systems Control, Marcel Dekker Inc., New York, 1991. 
[14] 
M. S. Mahmoud, Robust control of blood gases during extracorporeal circulation, IET Control Theory and Applications, 5 (2011), 15771585. doi: 10.1049/ietcta.2010.0665. 
[15] 
M. S. Mahmoud, Resilient $\begin{eqation*}\frac{L_2}{L_\infty} \end{equation*}$ filtering of polytopic systems with state delays, IET Control Theory And Applications, 1 (2007), 141154. doi: 10.1049/ietcta:20045281. 
[16] 
M. S. Mahmoud and A. Y. AlRayyah., Efficient parameterisation to stability and feedback synthesis of linear timedelay systems, IET control theory and applications, 3 (2009), 11071118. doi: 10.1049/ietcta.2008.0152. 
[17] 
M. S. Mahmoud and Yuanqing Xia, Robust filter design for piecewise discretetime systems with timevarying delays, International Journal of Robust and Nonlinear Control, 20 (2010), 544560. doi: 10.1002/rnc.1447. 
[18] 
M. S. Mahmoud and M. M. Hussain, Design of linear systems with saturating actuators: A survey, Int. J. Numerical Algebra, Control and Optimization, 2 (2012), 413435. doi: 10.3934/naco.2012.2.413. 
[19] 
J. Meijaard, J. Papadopoulos, A. Ruina and A. Schwab, Linearized dynamics equations for the balance and steer of a bicycle: a benchmark and review, Proc. the Royal Society A: Mathematical, Physical and Engineering Science, 463 (2007). doi: 10.1098/rspa.2007.1857. 
[20] 
K. Mendrok and Tadeusz Uhl, Load identification using a modified modal filter technique, J. Vibration and Control, 16 (2010), 89105. doi: 10.1177/1077546309103274. 
[21] 
G. T. Michaltsos, Bouncing of a vehicle on an irregularity: A mathematical model, J. Vibration and Control, 16 (2010), 181206. doi: 10.1177/1077546309104878. 
[22] 
H. Moradi, M. R. Movahhedy, and G. Vossoughi, Sliding mode control of machining chatter in the presence of tool wear and parametric uncertainties, J. Vibration and Control, 16 (2010), 231251. 
[23] 
U. Nenner, R. Linker and P. Gutman, Robust feedback stabilization of an unmanned motorcycle, Control Engineering Practice, 2010. 
[24] 
Omar S. AlBuraiki and El Ferik, Sami, Adaptive control of autonomous bicycle kinematics, Proc. 13th Automation and Systems (ICCAS), Gwangju, Korea, Oct. (2013), 2023. 
[25] 
M. C. Pai, Sliding mode control of vibration in uncertain timedelay systems, J. Vibration and Control, 16 (2010),21312145. doi: 10.1177/1077546309350865. 
[26] 
H. Schttler and U. Ledzewicz, Perturbation feedback control: A geometric interpretation, Int. J. Numerical Algebra, Control and Optimization, 2 (2012), 631654. doi: 10.3934/naco.2012.2.631. 
[27] 
R. Sharp and D. Limebeer, A motorcycle model for stability and control analysis, Multibody System Dynamics, 6 (2001), 123142. 
[28] 
R. Sharp, Optimal preview speedtracking control for motorcycles, Multibody System Dynamics, 18 (2007), 397411. 
[29] 
S. Sivrioglu, H _{∞} control for suppressing acoustic modes of a distributed structure using cluster sensing and actuation, J. Vibration and Control, 16 (2010), 439453. 
[30] 
N. Umashankar and H. D. Sharma, Adaptive neurofuzzy controller for stabilizing autonomous bicycle, Proc. IEEE International Conference Robotics and Biometrics, ROBIO06, (2006), 16521657. 
[31] 
T. Yamaguchi, T. Shibata and T. Murakami, Selfsustaining approach of electric bicycle by acceleration control based backstepping, Proc. 33rd Annual Conference of the IEEE Industrial Electronics Society, IECON, (2007), 26102614. 
[32] 
K. Zhou and J. C. Doyle, Essentials of Robust Control, NJ: Prentice Hall, 1998. 
show all references
References:
[1] 
K. J. Astrom, R. E. Klein and A. Lennartsson, Bicycle dynamics and control, IEEE Control Systems Magazine, 25 (2005), 2647. doi: 10.1109/MCS.2005.1499389. 
[2] 
C. K. Chen and T. K. Dao, Speedadaptive rollangletracking control of an unmanned bicycle using fuzzy logic, Vehicle System Dynamics, 48 (2010), 133147. 
[3] 
C. Cornejo and L. AlvarezIcaza, Passivity based control of underactuated mechanical systems with nonlinear dynamic friction, J. Vibration and Control, 18 (2012), 10251042. doi: 10.1177/1077546311408469. 
[4] 
M. L. Fair and S. L. Campbell, Active incipient fault detection in continuous time systems with multiple simultaneous faults, Numerical Algebra, Control and Optimization, 1 (2011), 211224. doi: 10.3934/naco.2011.1.211. 
[5] 
L. Feng, Robust Control Design: An Optimal Control Approach, Wayne State University, USA and Tongji University, China, John Wiley and Sons Ltd, 2007. 
[6] 
N. H. Getz, Dynamic Inversion of Nonlinear Maps with Applications to Nonlinear Control and Robotics, Ph.D. Dissertation, University of California, 1995. 
[7] 
Y. Harata, Y. Banno and K. Taji, Parametric excitation based bipedal walking: Control method and optimization, Numerical Algebra, Control and Optimization, 1 (2011), 171190. doi: 10.3934/naco.2011.1.171. 
[8] 
C. L. Hwang, H. M. Wu and C. L. Shih, Fuzzy slidingmode underactuated control for autonomous dynamic balance of an electrical bicycle, IEEE Trans. Control Systems Technology, 17 (2009), 658670. 
[9] 
N. H. K. Iuchi, H. Niki and T. Murakami, Attitude control of bicycle motion by steering angle and variable COG control, Proc. 31st Annual Conference of IEEE Industrial Electronics Society, IECON, (2005), 1621. 
[10] 
R. N. Jazar, Mathematical theory of autodriver for autonomous vehicles, J. Vibration and Control, 16 (2010), 253279. doi: 10.1177/1077546309104467. 
[11] 
R. Khaled and N. G. Chalhoub, A dynamic model and a robust controller for a fullyactuated marine surface vessel, J. Vibration and Control, 17 (2011), 801812. 
[12] 
L. Lujng, System Identification Theory for User, Linkopping University, Sweden. 
[13] 
M. S. Mahmoud, ComputerOperated Systems Control, Marcel Dekker Inc., New York, 1991. 
[14] 
M. S. Mahmoud, Robust control of blood gases during extracorporeal circulation, IET Control Theory and Applications, 5 (2011), 15771585. doi: 10.1049/ietcta.2010.0665. 
[15] 
M. S. Mahmoud, Resilient $\begin{eqation*}\frac{L_2}{L_\infty} \end{equation*}$ filtering of polytopic systems with state delays, IET Control Theory And Applications, 1 (2007), 141154. doi: 10.1049/ietcta:20045281. 
[16] 
M. S. Mahmoud and A. Y. AlRayyah., Efficient parameterisation to stability and feedback synthesis of linear timedelay systems, IET control theory and applications, 3 (2009), 11071118. doi: 10.1049/ietcta.2008.0152. 
[17] 
M. S. Mahmoud and Yuanqing Xia, Robust filter design for piecewise discretetime systems with timevarying delays, International Journal of Robust and Nonlinear Control, 20 (2010), 544560. doi: 10.1002/rnc.1447. 
[18] 
M. S. Mahmoud and M. M. Hussain, Design of linear systems with saturating actuators: A survey, Int. J. Numerical Algebra, Control and Optimization, 2 (2012), 413435. doi: 10.3934/naco.2012.2.413. 
[19] 
J. Meijaard, J. Papadopoulos, A. Ruina and A. Schwab, Linearized dynamics equations for the balance and steer of a bicycle: a benchmark and review, Proc. the Royal Society A: Mathematical, Physical and Engineering Science, 463 (2007). doi: 10.1098/rspa.2007.1857. 
[20] 
K. Mendrok and Tadeusz Uhl, Load identification using a modified modal filter technique, J. Vibration and Control, 16 (2010), 89105. doi: 10.1177/1077546309103274. 
[21] 
G. T. Michaltsos, Bouncing of a vehicle on an irregularity: A mathematical model, J. Vibration and Control, 16 (2010), 181206. doi: 10.1177/1077546309104878. 
[22] 
H. Moradi, M. R. Movahhedy, and G. Vossoughi, Sliding mode control of machining chatter in the presence of tool wear and parametric uncertainties, J. Vibration and Control, 16 (2010), 231251. 
[23] 
U. Nenner, R. Linker and P. Gutman, Robust feedback stabilization of an unmanned motorcycle, Control Engineering Practice, 2010. 
[24] 
Omar S. AlBuraiki and El Ferik, Sami, Adaptive control of autonomous bicycle kinematics, Proc. 13th Automation and Systems (ICCAS), Gwangju, Korea, Oct. (2013), 2023. 
[25] 
M. C. Pai, Sliding mode control of vibration in uncertain timedelay systems, J. Vibration and Control, 16 (2010),21312145. doi: 10.1177/1077546309350865. 
[26] 
H. Schttler and U. Ledzewicz, Perturbation feedback control: A geometric interpretation, Int. J. Numerical Algebra, Control and Optimization, 2 (2012), 631654. doi: 10.3934/naco.2012.2.631. 
[27] 
R. Sharp and D. Limebeer, A motorcycle model for stability and control analysis, Multibody System Dynamics, 6 (2001), 123142. 
[28] 
R. Sharp, Optimal preview speedtracking control for motorcycles, Multibody System Dynamics, 18 (2007), 397411. 
[29] 
S. Sivrioglu, H _{∞} control for suppressing acoustic modes of a distributed structure using cluster sensing and actuation, J. Vibration and Control, 16 (2010), 439453. 
[30] 
N. Umashankar and H. D. Sharma, Adaptive neurofuzzy controller for stabilizing autonomous bicycle, Proc. IEEE International Conference Robotics and Biometrics, ROBIO06, (2006), 16521657. 
[31] 
T. Yamaguchi, T. Shibata and T. Murakami, Selfsustaining approach of electric bicycle by acceleration control based backstepping, Proc. 33rd Annual Conference of the IEEE Industrial Electronics Society, IECON, (2007), 26102614. 
[32] 
K. Zhou and J. C. Doyle, Essentials of Robust Control, NJ: Prentice Hall, 1998. 
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