Finite-time fault-tolerant control for flutter involving control delay

Abstract Many control laws, such as optimal controllers and classical controllers, have seen their applications to suppressing the aeroelastic vibrations of the aeroelastic system. However, those control laws may not work effectively if the aeroelastic system involves control delay and faults. In this paper, we use the finite-time H∞ adaptive fault-tolerant control technique to deal with the flutter problem of the wing, which is subject to control delay, parameter uncertainties and external disturbances. Then actuator faults are considered in the control design. The theory content of this article includes the modeling of wing flutter and fault-tolerant controller design. By using the Lyapunov–Krasovskii function and the linear matrix inequality (LMI), the stability of the finite-time H∞ adaptive fault-tolerant controller is theoretically proved. Simulation results are given to demonstrate the effectiveness of the scheme.

[1]  Yonghui Zhao,et al.  Flutter suppression of a high aspect-ratio wing with multiple control surfaces , 2009 .

[2]  Aman Behal,et al.  Model-Free Control Design for Multi-Input Multi-Output Aeroelastic System Subject to External Disturbance , 2011 .

[3]  Daniel W. C. Ho,et al.  Adaptive fault-tolerant compensation control for Markovian jump systems with mismatched external disturbance , 2015, Autom..

[4]  Uri Shaked,et al.  Robust Switching-Based Fault Tolerant Control , 2015, IEEE Transactions on Automatic Control.

[5]  Francesco Amato,et al.  Finite-time control of linear systems subject to parametric uncertainties and disturbances , 2001, Autom..

[6]  Kumar Vikram Singh,et al.  Active aeroelastic control with time delay for targeted flutter modes , 2015 .

[7]  Aman Behal,et al.  Continuous Robust Control for Two-Dimensional Airfoils with Leading- and Trailing-Edge Flaps , 2012 .

[8]  Yanjun Shen,et al.  Finite-time H∞ control for linear continuous system with norm-bounded disturbance , 2009 .

[9]  Sahjendra N. Singh,et al.  Multi-Input Noncertainty-Equivalent Adaptive Control of an Aeroelastic System , 2010 .

[10]  Housheng Su,et al.  Full-order and reduced-order observers for one-sided Lipschitz nonlinear systems using Riccati equations , 2012 .

[11]  Aman Behal,et al.  Novel Nonlinear Control Design for a Two-Dimensional Airfoil Under Unsteady Flow , 2013 .

[12]  Rongrong Wang,et al.  Robust fault-tolerant H ∞ control of active suspension systems with finite-frequency constraint , 2015 .

[13]  Aman Behal,et al.  Comparison of Adaptive Control Architectures for Flutter Suppression , 2015 .

[14]  Danwei Wang,et al.  Inertia-free fault-tolerant spacecraft attitude tracking using control allocation , 2015, Autom..

[15]  Liangqiang Zhou,et al.  Chaotic motions of a two-dimensional airfoil with cubic nonlinearity in supersonic flow , 2013 .

[16]  Haiyan Hu,et al.  Design of active flutter suppression and wind-tunnel tests of a wing model involving a control delay , 2015 .

[17]  Ben S. Cazzolato,et al.  Linear-Parameter-Varying Control of an Improved Three-Degree-of-Freedom Aeroelastic Model , 2010 .

[18]  Cai Guo-Ping,et al.  Adaptive fault-tolerant control of reentry vehicle considering actuator and sensor faults based on trajectory optimization , 2016 .

[19]  Zhao Yong-hui.  Active Flutter Suppression of a Two-dimensional Airfoil Section Using μ Synthesis , 2007 .

[20]  Silvio Simani,et al.  Differential geometry based active fault tolerant control for aircraft , 2014 .

[21]  Yong-Ping Zhao,et al.  Stability of a time-delayed aeroelastic system with a control surface , 2011 .

[22]  Guoxiang Meng,et al.  Equivalent damping of aeroelastic system of an airfoil with cubic stiffness , 2011 .

[23]  Youmin Zhang,et al.  Adaptive Sliding Mode Fault Tolerant Attitude Tracking Control for Flexible Spacecraft Under Actuator Saturation , 2012, IEEE Transactions on Control Systems Technology.

[24]  Guang-Hong Yang,et al.  Robust adaptive fault-tolerant control for uncertain linear systems with actuator failures , 2012 .

[25]  Jin Jiang,et al.  Fault-tolerant control systems: A comparative study between active and passive approaches , 2012, Annu. Rev. Control..

[26]  Bin Liu,et al.  Fault-tolerant H∞ control for networked control systems with randomly occurring missing measurements , 2016, Neurocomputing.

[27]  Qinglei Hu,et al.  Robust fault-tolerant control for spacecraft attitude stabilisation subject to input saturation , 2011 .