Robust trajectory tracking of unstable aircraft with measurement delay

Trajectory tracking control is investigated for an open-loop unstable aircraft with delayed external measurement in this paper. The bounded measurement delay is unknown and variant. The trajectory signal is generated by a reference system. By using a Lyapunov–Krasovskii functional and linear matrix inequality technique, a delay-dependent criterion and the corresponding robust trajectory tracking control scheme are presented. The controller can reduce the undesirable delay effects and guarantee the boundedness of tracking error. The results with application to HiMAT (highly maneuverable technology) aircraft have demonstrated the effectiveness of the proposed approach.

[1]  David M. Bevly,et al.  Integrating INS Sensors With GPS Measurements for Continuous Estimation of Vehicle Sideslip, Roll, and Tire Cornering Stiffness , 2006, IEEE Transactions on Intelligent Transportation Systems.

[2]  Isaac Skog,et al.  Time Synchronization Errors in Loosely Coupled GPS-Aided Inertial Navigation Systems , 2011, IEEE Transactions on Intelligent Transportation Systems.

[3]  M. Ni,et al.  A DIRECT APPROACH TO THE DESIGN OF ROBUST TRACKING CONTROLLERS FOR UNCERTAIN DELAY SYSTEMS , 2006 .

[4]  Aboelmagd Noureldin,et al.  GPS/INS integration utilizing dynamic neural networks for vehicular navigation , 2011, Inf. Fusion.

[5]  Lihong Huang,et al.  A new delay-dependent H∞ control criterion for a class of discrete-time systems with time-varying state delays and input delays , 2008 .

[6]  Xudong Ye,et al.  Decentralized Adaptive Stabilization of Large-Scale Nonlinear Time-Delay Systems With Unknown High-Frequency-Gain Signs , 2011, IEEE Transactions on Automatic Control.

[7]  H. Karimi Delay-Range-Dependent Linear Matrix Inequality Approach to Quantized H∞ Control of Linear Systems with Network-Induced Delays and Norm-Bounded Uncertainties , 2010 .

[8]  Yanze Hou,et al.  Stability Analysis of Switched Linear Systems with Locally Overlapped Switching Law , 2010 .

[9]  Sang Hyun Park,et al.  Robust Tracking Under Nonlinear Friction Using Time-Delay Control With Internal Model , 2009, IEEE Transactions on Control Systems Technology.

[10]  Peng Shi,et al.  Delay-dependent guaranteed cost control for a non-linear stochastic system with distributed delays , 2009 .

[11]  Hugh F. Durrant-Whyte,et al.  A high integrity IMU/GPS navigation loop for autonomous land vehicle applications , 1999, IEEE Trans. Robotics Autom..

[12]  Yun Liu,et al.  Stabilization of switched systems with time-varying delay: a state transformation method , 2011 .

[13]  L. Ghaoui,et al.  A cone complementarity linearization algorithm for static output-feedback and related problems , 1996, Proceedings of Joint Conference on Control Applications Intelligent Control and Computer Aided Control System Design.

[14]  M. Er,et al.  Stability of linear systems with delayed perturbations: an LMI approach , 2002 .

[15]  L. E. Brown,et al.  Wright Brothers Lectureship in Aeronautics: Experience with HiMAT remotely piloted research vehicle - An alternate flight test approach , 1986 .

[16]  Lin Li,et al.  Observer-based resilient L2L8 control for singular time-delay systems , 2009 .

[17]  Guo Li,et al.  Decentralized tracking control for linear uncertain interconnected systems with time delays , 2008 .

[18]  Daniel E. Miller,et al.  On the Achievable Delay Margin Using LTI Control for Unstable Plants , 2007, IEEE Transactions on Automatic Control.

[19]  Gyu-In Jee,et al.  Calibration of Measurement Delay in Global Positioning System/Strapdown Inertial Navigation System , 2002 .

[20]  Jan Swevers,et al.  Gain-scheduled H 2 and H ∞ control of discrete-time polytopic time-varying systems , 2010 .

[21]  Huijun Gao,et al.  Network-Based ${{\cal H}}_{\!\!\!\infty }$ Output Tracking Control , 2008, IEEE Transactions on Automatic Control.

[22]  Kai-Yuan Cai,et al.  Tracking control for angular-rate-sensorless vertical take-off and landing aircraft in the presence of angular-position measurement delay , 2010 .

[23]  Jan Swevers,et al.  Gain scheduled H2-control of discrete-time polytopic time varying systems , 2008 .

[24]  Yong Li,et al.  Time Synchronization Error and Calibration in Integrated GPS/INS Systems , 2008 .

[25]  Wim Michiels,et al.  Continuous pole placement for delay equations , 2002, Autom..

[26]  Kristi A. Morgansen,et al.  Stability of Time-Delay Feedback Switched Linear Systems , 2010, IEEE Transactions on Automatic Control.

[27]  Qing-Long Han,et al.  New stability criteria for linear systems with interval time-varying delay , 2008, Autom..