GESO based robust optimal guidance

In this work, formulation of a robust optimal guidance law for tactical missiles in end game scenario is proposed. Using the linearized missile target engagement model, an LQR based guidance law is designed to minimize the miss distance. Implementation of the guidance law, however, needs availability of system states as well as target acceleration. Since the latter represents an unmatched uncertainty, many conventional approaches are not applicable for its estimation. In this work, the issue is addresses by employing the recently proposed Generalized Extended State Observer (GESO) approach. Apart from providing an estimate of target acceleration, the GESO also provides the estimates of the states enabling implementation and robustification of the LQR based guidance law. Simulations are carried out by employing the proposed guidance law to the nonlinear two-dimensional missile-target engagement model in presence of highly maneuvering target and the results are presented. Further, performance comparison is carried out with classical Proportional Navigation (PN) guidance to demonstrate the efficacy of the proposed formulation.

[1]  Sanjay E. Talole,et al.  Sliding Mode and Inertial Delay Control Based Missile Guidance , 2012, IEEE Transactions on Aerospace and Electronic Systems.

[2]  I. G. Sarma,et al.  Switched bias proportional navigation for homing guidance against highly maneuvering targets , 1994 .

[3]  Jingqing Han,et al.  From PID to Active Disturbance Rejection Control , 2009, IEEE Trans. Ind. Electron..

[4]  Ki Baek Kim.  Receding horizon guidance laws with the current target information , 2001, Proceedings of the 40th IEEE Conference on Decision and Control (Cat. No.01CH37228).

[5]  B. Anderson,et al.  Optimal control: linear quadratic methods , 1990 .

[6]  Qing-Chang Zhong,et al.  Control of Uncertain LTI Systems Based on an Uncertainty and Disturbance Estimator , 2004 .

[7]  Mingxing Fang,et al.  Improving Disturbance-Rejection Performance Based on an Equivalent-Input-Disturbance Approach , 2008, IEEE Transactions on Industrial Electronics.

[8]  Sanjay E. Talole,et al.  Extended-State-Observer-Based Control of Flexible-Joint System With Experimental Validation , 2010, IEEE Transactions on Industrial Electronics.

[9]  A. A. Godbole,et al.  Robust Roll Autopilot Design for Tactical Missiles , 2011 .

[10]  Wen-Hua Chen,et al.  Nonlinear Disturbance Observer-Enhanced Dynamic Inversion Control of Missiles , 2003 .

[11]  George M. Siouris,et al.  Applied Optimal Control: Optimization, Estimation, and Control , 1979, IEEE Transactions on Systems, Man, and Cybernetics.

[12]  Sanjay E. Talole,et al.  Performance Analysis of Generalized Extended State Observer in Tackling Sinusoidal Disturbances , 2013, IEEE Transactions on Control Systems Technology.

[13]  Moshe Idan,et al.  Sliding-Mode Control for Integrated Missile Autopilot Guidance , 2004 .

[14]  Ricardo H. C. Takahashi,et al.  Unknown Input Observers for Uncertain Systems: A Unifying Approach , 1999, Eur. J. Control.

[15]  Campbell Jones.  Missile autopilot controller design using state transformations and optimal LQR techniques , 1996 .

[16]  N. K. Singh,et al.  Robust Input-Output Linearization using UDE , 2007 .

[17]  Bernard Friedland,et al.  Control System Design: An Introduction to State-Space Methods , 1987 .

[18]  Sanjay E. Talole,et al.  Extended state observer-based robust pitch autopilot design for tactical missiles , 2012 .

[19]  Joseph Z. Ben-Asher,et al.  Optimal control theory with aerospace applications , 2010 .

[20]  Johannes A.G.M. van Dijk,et al.  Disturbance Observers for Rigid Mechanical Systems: Equivalence, Stability, and Design , 2002 .

[21]  Paul Zarchan,et al.  Tactical and strategic missile guidance , 1990 .

[22]  Yi Huang,et al.  An alternative paradigm for control system design , 2001 .

[23]  Shihua Li,et al.  Adaptive Speed Control for Permanent-Magnet Synchronous Motor System With Variations of Load Inertia , 2009, IEEE Transactions on Industrial Electronics.

[24]  Zhiqiang Gao,et al.  A comparison study of advanced state observer design techniques , 2003, Proceedings of the 2003 American Control Conference, 2003..

[25]  S. Talole,et al.  Robust Predictive Control of a Class of Nonlinear Systems , 2014 .

[26]  G. Stein,et al.  Quadratic weights for asymptotic regulator properties , 1977, 1977 IEEE Conference on Decision and Control including the 16th Symposium on Adaptive Processes and A Special Symposium on Fuzzy Set Theory and Applications.

[27]  Zongxia Jiao,et al.  Extended-State-Observer-Based Output Feedback Nonlinear Robust Control of Hydraulic Systems With Backstepping , 2014, IEEE Transactions on Industrial Electronics.

[28]  Yuanqing Xia,et al.  Attitude Tracking of Rigid Spacecraft With Bounded Disturbances , 2011, IEEE Transactions on Industrial Electronics.

[29]  Sanjay E. Talole,et al.  Sliding Mode Observer for Drag Tracking in Entry Guidance , 2007 .

[30]  Jun Yang,et al.  Disturbance Observer-Based Control: Methods and Applications , 2014 .

[31]  J. H. Evers,et al.  Missile endgame analysis , 1992, [Proceedings 1992] The First IEEE Conference on Control Applications.

[32]  Zongxia Jiao,et al.  Adaptive Robust Control of DC Motors With Extended State Observer , 2014, IEEE Transactions on Industrial Electronics.

[33]  Ernest J. Ohlmeyer,et al.  Optimal Design of Integrated Missile Guidance and Control , 1998 .

[34]  Jun Yang,et al.  Generalized Extended State Observer Based Control for Systems With Mismatched Uncertainties , 2012, IEEE Transactions on Industrial Electronics.

[35]  Kamal Youcef-Toumi,et al.  A Time Delay Controller for Systems with Unknown Dynamics , 1988, 1988 American Control Conference.

[36]  Dong Xu,et al.  Missile Guidance Law Based on Extended State Observer , 2013, IEEE Transactions on Industrial Electronics.