Mechanical and Mechatronics Engineering

Dr. Arman Dabiri - Assistant Professor

Book Chapters

• Dabiri, B. Parsa Moghadam, and J. A. Tenreiro Machado, “A Chebyshev Spectral Collocation Method for Solving Fractional Fokker-Planck Equation with Riesz Derivatives”, in “Advances in Special functions and analysis of Differential Equations” (ASFADE), CRC Press- Taylor & Francis. [https://doi.org/10.1201/9780429320026]
• P. Moghadam, and J. T. Machado, A. Dabiri, “A Linear B–spline Approximation for a Class of Nonlinear Time and Space Fractional Partial Differential Equations,” in Numerical Solutions of Realistic Nonlinear Phe- nomena (J. T. Machado, Necati Özdemir, D. Baleanu), Springer, New York. ISBN 978-3-11-057081-6. [https://doi.org/10.1007/978-3-030-37141-8_4]
• P. Moghadam, A. Dabiri, and J. T. Machado, “Applications in Engineering, Life and Social Sciences,” in Handbook of Fractional Calculus with Applications (J. T. Machado, D. Baleanu, A. M. Lopes, and Y. Chen), Springer, New York. ISBN 978-3-11-057081-6.  [https://doi.org/10.1515/9783110571905-011] 
• A. Butcher, A. Dabiri, and M. Nazari, “Stability and Control of Fractional Periodic Time-delayed Systems,” in Advances in Delays and Dynamics (T. Insperger, G. Orosz, and T. Ersal, eds.), Springer, New York [https://doi.org/10.1007/978-3-319-53426-8_8]

Journal Articles 

• Dabiri, M. Poursina, and J. A. Tenreiro Machado, “Dynamics and Optimal Control of Multibody Systems Using Fractional Generalized Divide-and-Conquer Algorithm,” Nonlinear Dynamics, 2020, [https://doi.org/10.1007/s11071-020-05954-3]
• Dabiri, and E. A. Butcher “Optimal Observer-Based Feedback Control For Linear Fractional-order Sys- tems with Periodic Coe@cients”, in Journal of Vibration and Control, vol. 25, pp. 1379–1392, 2019. [https://doi.org/10.1177/1077546318822370]
• P. Moghadda, A. Dabiri, and J. A. T. Machado “ Numerical Solution of Mixed–type Fractional Functional Differential Equations Using Modified Lucas Polynomials”, in Computational and Applied Mathematics, 2019. [https://doi.org/10.1007/s40314-019-0813-9]
• Dabiri, B. P. Moghadda, and J. A. T. Machado “Optimal Variable Order Fractional PID Controllers for Dynamical Systems ”, in Journal of Computational and Applied Mathematics, vol. 339, pp. 40–48, 2018. [https://doi.org/10.1016/j.cam.2018.02.029]
• Dabiri and E. A. Butcher “Numerical Solution of Multi-Order Fractional Differential Equations with Multiple Delays via Spectral Collocation Methods ”, in Applied Mathematical Modeling, vol. 56, pp. 424–448, 2018. [https://doi.org/10.1016/j.apm.2017.12.012]
• Dabiri, E. A. Butcher, M. Nazari, and M. Poursina “Optimal Periodic-gain Fractional Delayed State Feed- back Control for Linear Fractional Periodic time-delay Systems,” in The IEEE Transactions on Automatic Control, vol. 63, No. 4, pp. 989–1002, 2018.[https://doi.org/10.1109/TAC.2017.2731522]
• Dabiri, and E. A. Butcher, “Stable Fractional Chebyshev Differentiation Matrix for Numerical Solution of Fractional Differential Equations,” Nonlinear Dynamics, vol. 90, No. 1, pp. 185–201, 2017, Elsevier [https://doi.org/10.1007/s11071-017-3654-3]
• Kingsley, M. Poursina, S. Sabet , A. Dabiri “Logarithmic Complexity Dynamics Formulation for Com- puted Torque Control of Articulated Multibody Systems,” Mechanism and Machine Theory, 116 (2017), 481– 500, Elsevier. [https://doi.org/10.1016/j.mechmachtheory.2017.05.004]
• Dabiri, and E. A. Butcher, “E@cient Modified Chebyshev Differentiation Matrices for Fractional Differ- ential Equations,” Communications in Nonlinear Science and Numerical Simulation, 50 (2017): 284-310. [https://doi.org/10.1016/j.cnsns.2017.02.009]
• Dabiri, E. A. Butcher, and M. Nazari, “Coe@cient of restitution in fractional viscoelastic compliant im- pacts using fractional chebyshev collocation,” Journal of Sound and Vibration, vol. 388, pp. 230–244, 2017. [https://doi.org/10.1016/j.jsv.2016.10.013]
• A. Butcher, A. Dabiri, and M. Nazari, “Transition curve analysis of linear fractional periodic time-delayed systems via explicit harmonic balance method,” Journal of Computational and Nonlinear Dynamics, vol. 11, no. 4, p. 041005, 2016. [https://doi.org/10.1115/1.4031840] Dabiri, M. Nazari, and E. A. Butcher, “Explicit harmonic balance method for transition curve analysis of linear fractional periodic time-delayed systems,” IF C-Papersonline, vol. 48, no. 12, pp. 39–44, 2015. [https://doi.org/10.1016/j.ifacol.2015.09.350]

Peer-reviewed Conference Papers 

• Dabiri, and L. Karimi “ The Chebyshev pseudospectral method for solving fractional-order optimal control problems”, in American Control Conference 2019, Philadelphia, PA, USA, [https://doi.org/10.23919/ACC.2019.8814638]
• Dabiri, and L. Karimi “The fractional Chebyshev collocation method for the numerical solution of fractional differential quations with Riemann-Liouville derivatives”, in American Control Conference 2019, Philadelphia, PA, USA, [https://doi.org/10.23919/ACC.2019.8814991]
• Dabiri, M. Nazari, and E. A. Butcher“Minimal Phase-Variable Canonical State-Space Realizations and Initializations for Linear Time-Invariant Multi-term Fractional Differential Equations ,” in Proc. American Control Conference, (Milwaukee, WI, USA), IEEE, 2018.[https://doi.org/10.23919/ACC.2018.8431868]
• Dabiri and E. A. Butcher“The FCC Stability Criterion for Fractional-Order Linear Time-Invariant Sys- tems with Commensurate or Incommensurate Orders,” in Proc. American Control Conference, (Milwaukee, WI, USA), IEEE, 2018.[https://doi.org/10.23919/ACC.2018.8431868]
• Dabiri, M. Poursina, and E. A. Butcher“Integration of Divide-and-Conquer Algorithm with Fractional Order Controllers for the E@cient Dynamic modeling and Control of Multibody Systems,” in Proc. American Control Conference, (Milwaukee, WI, USA), IEEE, 2018.[https://doi.org/10.23919/ACC.2018.8431882]
• Karimi, A. Dabiri, J. Cheng, and E. A. Butcher“Probabilistic-Robust Optimal Control for Uncertain Linear Time-delay Systems by State Feedback Controllers with Memory ,” in Proc. American Control Conference, (Milwaukee, WI, USA), IEEE, 2018.[https://doi.org/10.23919/ACC.2018.8431555]
• Dabiri, S. Sabet, M. Poursina, P. Nikravesh, and D. Armstrong, “kinematics and dynamics comparison between three parallel robots for lower extremity rehabilitation,” in the ASME 2017 International Design Engineering Technical Conferences & Computers and Information in Engineering Conference, (Cleveland, OH), 2017.[https://doi.org/10.1115/DETC2017-68357]
• Dabiri and E. A. Butcher, “Fractional Chebyshev Collocation Method For Solving Linear Fractional-Order Delay-Differential Equations,” in the ASME 2017 International Design Engineering Technical Conferences & Computers and Information in Engineering Conference, (Cleveland, OH), 2017. [https://doi.org/10.1115/DETC2017-68333]
• Dabiri and E. A. Butcher “Design of Optimal Fractional Luenberger Observer For Linear Fractional- Order Systems,” in the ASME 2017 International Design Engineering Technical Conferences & Computers and Information in Engineering Conferrence, (Cleveland, OH), 2017.[https://doi.org/10.1115/DETC2017-68328]
• Dabiri, M. Nazari, and E. A. Butcher “Adaptive Neural-Fuzzy Inference System To Control Dynamical Systems with Fractional Order Dampers,” in Proc. American Control Conference, (Seattle, WA, USA), IEEE, 2017.[https://doi.org/10.23919/ACC.2017.7963241]
• Dabiri, S. Sabet, M. Poursina, D. G. Armstrong, and P. Nikravesh“An Optimal Stewart Platform For Lower Extremity Robotic Rehabilitation,” in Proc. American Control Conference, (Seattle, WA, USA), IEEE, 2017.[https://doi.org/10.23919/ACC.2017.7963777]
• Sabet, A. Dabiri, M. Poursina, and D. G. Armstrong“Computed Torque Control of the Stewart Platform with Uncertainty for Lower Extremity Robotic Rehabilitation,” in Proc. American Control Conference, (Seattle, WA, USA), IEEE, 2017.[https://doi.org/10.23919/ACC.2017.7963739]
• Nazari, E. A. Butcher, A. Dabiri, and A. K. Sanyal, “Fractional PID control of spacecraft attitude dynamics using rotation matrices,” in 67th International Astronautical Federation, Guadalajara, Mexico, Sep 26–30, 2016.[https://iafastro.directory/iac/paper/id/33513/summary/]
• Dabiri, M. Nazari, and E. A. Butcher, “Linguistic Fuzzy Logic Control of Double Inverted Pendulum with Destabilizing Fractional Dampers,” in the ASME 2016 International Mechanical Engineering Congress & Exposition, IMECE 2016, (Phoenix, AZ), 2016. [http://proceedings.asmedigitalcollection.asme.org/proceeding.aspx?articleid=2602097]
• Dabiri, M. Nazari, and E. A. Butcher, “Chaos analysis and control in fractional-order systems using fractional Chebyshev collocation method,” in the ASME 2016 International Mechanical Engineering Congress & Exposition, IMECE 2016, (Phoenix, AZ), 2016.[https://doi.org/10.1115/IMECE2016-67909]
• Dabiri, M. Nazari, and E. A. Butcher, “Modelling One-Dimensional Fractional Impact Using Basic Frac- tional Viscoelastic Models,” in the ASME 2016 International Design Engineering Technical Conferences & Com- puters and Information in Engineering Conference, (Charlotte, NC), 2016. [https://doi.org/10.1115/DETC2016-60339]
• Dabiri, E. Madril, “Isothermal creep behavior of 3MTM Scotch-WeldTMEC-2216 B\A in single lap joints,” in the ASME 2016 International Design Engineering Technical Conferences & Computers and Information in Engineering Conference, (Charlotte, NC), 2016. [https://doi.org/10.1115/DETC2016-60376]
• Dabiri, E. A. Butcher, and M. Poursina, “Fractional delayed control design for linear periodic systems,” in the ASME 2016 International Design Engineering Technical Conferences & Computers and Information in Engineering Conference, (Charlotte, NC), 2016.[https://doi.org/10.1115/DETC2016-60322]
• Dabiri, M. Nazari, and E. A. Butcher, “Optimal Fractional State Feedback Control for Linear Fractional Periodic Time-Delayed Systems,” in Proc. American Control Conference, (Boston, MA, USA), IEEE, 2016. [https://doi.org/10.1109/ACC.2016.7525339]
• Dabiri, M. Nazari, and E. A. Butcher, “The Spectral Parameter Estimation Method for Parameter Identifi- cation of Linear Fractional Order Systems,” in Proc. American Control Conference, (Boston, MA, USA), IEEE, 2016. [https://doi.org/10.1109/ACC.2016.7525338]
• Dabiri, “Micro Double Pressure Sensor for Measuring the Applying Force on Cardiovascular in the Balloon Angioplasty," ASME 2013 International Mechanical Engineering Congress & Exposition, pp. 473-480, San Diego CA 2013.[https://doi.org/10.1115/IMECE2013-65705]
• Dabiri, S. Ali. A. Moosavian, “Dynamics and Planning for Stable Motion of a Hexapod Robot," 2010 IEEE/ASME International Conference on Advanced Intelligent Mechatronics, Montreal Canada 2010. [https://doi.org/10.1109/AIM.2010.5695819]

                                                                        Invited Talks                                                                  

•  Dabiri, Nonlocal Operators in Dynamics and Control: Theories and Applications,” in SIAM Conference on Computational Science and Engineering (CSE19), in Washington, US, 2019.
• A. Butcher and A. Dabiri, Chaos Control in Fractional-order Systems Using Fractional Chebyshev Col- location Method,” in the 9th European Nonlinear Dynamics Conference (ENOC 2017) , in Budapest, Hungary, 2017.[http://congressline.hu/enoc2017/abstracts/363.pdf]
• A. Butcher and A. Dabiri, Stability and Control of the Fractional Damped Delayed Mathieu Equation,” in the 9th European Nonlinear Dynamics Conference (ENOC 2017) , in Budapest, Hungary, 2017. [http://congressline.hu/enoc2017/abstracts/361.pdf]