Control Design for Nonlinear Flexible Wings of a Robotic Aircraft

In this brief, the control problem for flexible wings of a robotic aircraft is addressed by using boundary control schemes. Inspired by birds and bats, the wing with flexibility and articulation is modeled as a distributed parameter system described by hybrid partial differential equations and ordinary differential equations. Boundary control for both wing twist and bending is proposed on the original coupled dynamics, and bounded stability is proved by introducing a proper Lyapunov function. The effectiveness of the proposed control is verified by simulations.

[1]  Ian R. Petersen,et al.  Minimax LQG optimal control of a flexible beam , 2000 .

[2]  Hemanshu R. Pota A prototype flexible robot arm-an interdisciplinary undergraduate project , 1992 .

[3]  Miroslav Krstic,et al.  Stabilization of an ODE-Schrödinger cascade , 2012, ACC.

[4]  Harvey Thomas Banks,et al.  Smart material structures: Modeling, estimation, and control , 1996 .

[5]  Stephen P. Boyd,et al.  Linear controller design: limits of performance , 1991 .

[6]  S. Ge,et al.  Modeling and Vibration Control for a Nonlinear Moving String With Output Constraint , 2015, IEEE/ASME Transactions on Mechatronics.

[7]  Shuzhi Sam Ge,et al.  Vibration Control of a Nonuniform Wind Turbine Tower via Disturbance Observer , 2015, IEEE/ASME Transactions on Mechatronics.

[8]  Shuzhi Sam Ge,et al.  Vibration Control of Flexible Marine Riser Systems With Input Saturation , 2016, IEEE/ASME Transactions on Mechatronics.

[9]  Shuzhi Sam Ge,et al.  Cooperative control of a nonuniform gantry crane with constrained tension , 2016, Autom..

[10]  Shuzhi Sam Ge,et al.  Adaptive Neural Network Control of Robotic Manipulators , 1999, World Scientific Series in Robotics and Intelligent Systems.

[11]  Bao-Zhu Guo,et al.  Lyapunov approach to output feedback stabilization for the Euler-Bernoulli beam equation with boundary input disturbance , 2015, Autom..

[12]  Shuzhi Sam Ge,et al.  Top Tension Control of a Flexible Marine Riser by Using Integral-Barrier Lyapunov Function , 2015, IEEE/ASME Transactions on Mechatronics.

[13]  S. O. Reza Moheimani,et al.  A Negative Imaginary Approach to Modeling and Control of a Collocated Structure , 2012, IEEE/ASME Transactions on Mechatronics.

[14]  Beibei Ren,et al.  Sliding mode control to stabilization of cascaded heat PDE-ODE systems subject to boundary control matched disturbance , 2015, Autom..

[15]  Xuefang Li,et al.  Iterative learning control of inhomogeneous distributed parameter systems - frequency domain design and analysis , 2014, Syst. Control. Lett..

[16]  Peter Ifju,et al.  Flexible-wing-based Micro Air Vehicles , 2002 .

[17]  Miroslav Krstic,et al.  PDE Boundary Control for Flexible Articulated Wings on a Robotic Aircraft , 2013, IEEE Transactions on Robotics.

[18]  Hemanshu R. Pota,et al.  Multivariable transfer functions for a slewing piezoelectric laminate beam , 1992, [Proceedings 1992] IEEE International Conference on Systems Engineering.

[19]  Ruth F. Curtain,et al.  Survey paper: Transfer functions of distributed parameter systems: A tutorial , 2009 .

[20]  K. Hong,et al.  Asymptotic stabilization of a nonlinear axially moving string by adaptive boundary control , 2010 .

[21]  Shuzhi Sam Ge,et al.  Boundary control of a flexible marine riser with vessel dynamics , 2010, Proceedings of the 2010 American Control Conference.

[22]  Shuzhi Sam Ge,et al.  Adaptive Boundary Control of a Nonlinear Flexible String System , 2014, IEEE Transactions on Control Systems Technology.

[23]  Han-Xiong Li,et al.  Fuzzy Boundary Control Design for a Class of Nonlinear Parabolic Distributed Parameter Systems , 2014, IEEE Transactions on Fuzzy Systems.

[24]  Khac Duc Do,et al.  Boundary control of three-dimensional inextensible marine risers , 2009 .

[25]  Shuzhi Sam Ge,et al.  Vibration Control of a Flexible Beam With Output Constraint , 2015, IEEE Transactions on Industrial Electronics.

[26]  Huai-Ning Wu,et al.  Static output feedback control via PDE boundary and ODE measurements in linear cascaded ODE-beam systems , 2014, Autom..

[27]  Johnny Evers,et al.  Sensitivities & functional gains for a flexible aircraft-inspired model , 2010, Proceedings of the 2010 American Control Conference.

[28]  Han-Xiong Li,et al.  Distributed Proportional–Spatial Derivative Control of Nonlinear Parabolic Systems via Fuzzy PDE Modeling Approach , 2012, IEEE Transactions on Systems, Man, and Cybernetics, Part B (Cybernetics).

[29]  Keum Shik Hong,et al.  Transverse Vibration Control of Axially Moving Membranes by Regulation of Axial Velocity , 2012, IEEE Transactions on Control Systems Technology.

[30]  Ian R. Petersen,et al.  Spatial balanced model reduction for flexible structures , 1997, Proceedings of the 1997 American Control Conference (Cat. No.97CH36041).

[31]  Robert J. Wood,et al.  The First Takeoff of a Biologically Inspired At-Scale Robotic Insect , 2008, IEEE Transactions on Robotics.

[32]  Shuzhi Sam Ge,et al.  Robust adaptive control of a thruster assisted position mooring system , 2014, Autom..

[33]  Jwu-Sheng Hu,et al.  Active impedance control of linear one-dimensional wave equations , 1999 .

[34]  Soon-Jo Chung,et al.  Novel Dihedral-Based Control of Flapping-Wing Aircraft With Application to Perching , 2013, IEEE Transactions on Robotics.

[35]  S. Shankar Sastry,et al.  Flapping flight for biomimetic robotic insects: part I-system modeling , 2006, IEEE Transactions on Robotics.

[36]  Soon-Jo Chung,et al.  Dynamics and Performance of Tailless Micro Aerial Vehicle with Flexible Articulated Wings , 2012 .

[37]  Genqi Xu,et al.  Stabilisation of Timoshenko beam system with delay in the boundary control , 2013, Int. J. Control.

[38]  Bao-Zhu Guo,et al.  Output Feedback Stabilization for One-Dimensional Wave Equation Subject to Boundary Disturbance , 2015, IEEE Transactions on Automatic Control.

[39]  Miroslav Krstic,et al.  Compensating a string PDE in the actuation or sensing path of an unstable ODE , 2009, 2009 American Control Conference.

[40]  K. Hong,et al.  Simultaneous control of longitudinal and transverse vibrations of an axially moving string with velocity tracking , 2012 .