An input output observer based guidance strategy for interceptor problem

The established guidance laws in literature are generally designed to capture the target while considering all the states of the interceptor model to be measurable. This paper demonstrates the use of an input output observer for the unmeasured state of the missile-target model with semi-global exponential results. A well-established guidance law called pure proportional navigation law is incorporated in this paper to demonstrate the application of the proposed observer. The missile’s angle of attack is the unmeasured state, which also appears non-linearly in the remaining two kinematic equations of the missile. The occurrence of the unmeasured state in the nonlinear form makes it more challenging to theoretically prove its convergence. The Lyapunov analysis is used to show the convergence of the observed state. Different scenarios consisting of the tail chase and head-on engagements with non-maneuvering and maneuvering targets are considered in the simulations to establish the effectiveness of the proposed guidance strategy.

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

[2]  Sanjay E. Talole,et al.  Proportional navigation guidance using predictive and time delay control , 2006 .

[3]  K. Becker Closed-form solution of pure proportional navigation , 1990 .

[4]  Yuanli Cai,et al.  Adaptive Estimation and Cooperative Guidance for Active Aircraft Defense in Stochastic Scenario , 2019, Sensors.

[5]  Humin Lei,et al.  A novel capture region of retro proportional navigation guidance law for intercepting high-speed nonmaneuvering targets , 2018 .

[6]  Shashi Ranjan Kumar,et al.  Sliding-Mode Guidance and Control for All-Aspect Interceptors with Terminal Angle Constraints , 2012 .

[7]  M. Guelman The closed-form solution of true proportional navigation , 1976, IEEE Transactions on Aerospace and Electronic Systems.

[8]  Haibo Ji,et al.  A novel three‐dimensional guidance law implementation using only line‐of‐sight azimuths , 2015 .

[9]  Debasish Ghose,et al.  Retro-Proportional-Navigation: A New Guidance Law for Interception of High-Speed Targets , 2012 .

[10]  Fang-Bo Yeh,et al.  The closed-form solution of generalized proportional navigation , 1987 .

[11]  Shucai Huang,et al.  A Two-Dimensional Adaptive Target Detection Algorithm in the Compressive Domain , 2019, Sensors.

[12]  Agus Budiyono,et al.  Proportional Guidance and CDM Control Synthesis for a Short-Range Homing Surface-to-Air Missile , 2012 .

[13]  Tao Wang,et al.  Combined proportional navigation law for interception of high-speed targets , 2014 .

[14]  Jiang Wang,et al.  A novel sliding mode guidance law without line-of-sight angular rate information accounting for autopilot lag , 2017, Int. J. Syst. Sci..

[15]  Shaoming He,et al.  Observer-based guidance law against maneuvering targets without line-of-sight angular rate information , 2016 .

[16]  Min-Jea Tahk,et al.  Impact-Time-Control Guidance with Generalized Proportional Navigation Based on Nonlinear Formulation , 2016 .

[17]  Youdan Kim,et al.  Modified Pure Proportional Navigation Guidance Law for Impact Time Control , 2016 .

[18]  Debasish Ghose,et al.  An online-implementable differential evolution tuned all-aspect guidance law , 2010 .

[19]  Atif Iqbal,et al.  An Event-Triggered Robust Attitude Control of Flexible Spacecraft With Modified Rodrigues Parameters Under Limited Communication , 2019, IEEE Access.

[20]  Koray S. Erer,et al.  Indirect Impact-Angle-Control Against Stationary Targets Using Biased Pure Proportional Navigation , 2012 .

[21]  Tal Shima,et al.  Differential games missile guidance with bearings-only measurements , 2013, IEEE Transactions on Aerospace and Electronic Systems.

[22]  Zhiqiang Gao,et al.  A survey of state and disturbance observers for practitioners , 2006, 2006 American Control Conference.

[23]  Feng Tyan Analysis of 3D PPN guidance laws for nonmaneuvering target , 2015, IEEE Transactions on Aerospace and Electronic Systems.

[24]  J. Chern,et al.  Ideal Proportional Navigation , 1992 .

[25]  Hao Wu,et al.  Feedback Robust Cubature Kalman Filter for Target Tracking Using an Angle Sensor , 2016, Sensors.

[26]  Velusamy Subramaniam,et al.  An All-Aspect Near-Optimal Guidance Law , 2000 .

[27]  Bhavnesh Panchal,et al.  Robust Missile Autopilot Design Using Two Time-Scale Separation , 2018, IEEE Transactions on Aerospace and Electronic Systems.

[28]  Ashwini Ratnoo,et al.  Adaptive Proportional Navigation for Short Range Ballistic Trajectories , 2018 .

[30]  Humin Lei,et al.  Backstepping Sliding Mode Control for Radar Seeker Servo System Considering Guidance and Control System , 2018, Sensors.

[31]  Yu Yao,et al.  Guidance law implementation with performance recovery using an extended high-gain observer , 2013 .

[32]  Haibo Ji,et al.  Guidance Laws Based on Input-to-State Stability and High-Gain Observers , 2012, IEEE Transactions on Aerospace and Electronic Systems.

[33]  Syed Muhammad Amrr,et al.  Robust Attitude Control of Rigid Spacecraft Based on Event-Triggered Approach with Anti-Unwinding , 2019, 2019 Fifth Indian Control Conference (ICC).

[34]  Debasish Ghose,et al.  Unified Time-to-Go Algorithms for Proportional Navigation Class of Guidance , 2016 .