APPLICATION OF AN OPTIMAL CONTROL ALGORITHM FOR A GYROSCOPE SYSTEM OF A HOMING AIR-TO-AIR MISSILE

Missile homing precision depends mainly on the correct determination of the current angle between the Gyroscope System Axis (GSA) and the target line-of-sight (LOS). A gyroscope automatic control system shall ensure spontaneous levelling of this angle, hence, constant homing of the gyroscope system axis in on the LOS, i.e. tracking the target by the head. The available literature on the subject lacks a description of how to use the controlled gyro system in the process of guiding the missile onto the target. In this paper, the authors present the original development of an optimal control algorithm for a gyro system with a square quality indicator in conditions of interference and kinematic influence of the missile deck. A comparative analysis of the LQR with the PD regulator was made. PD regulator parameters are also selected optimally, using the Golubencev method, so that the transition process of the homing system fades over a minimal time, while simultaneously ensuring the overlapping of the gyroscope axis with the target line-of-sight. The computer simulation results have been obtained in a Matlab-Simulink environment and are presented in a graphic form.

[1]  Zbigniew Koruba,et al.  Classical Mechanics: Applied Mechanics and Mechatronics , 2012 .

[2]  Ashish Tewari Modern Control Design With MATLAB and SIMULINK , 2002 .

[3]  J.-K. Lee,et al.  Chaos synchronization and parameter identification for gyroscope system , 2005, Appl. Math. Comput..

[4]  Frank L. Lewis,et al.  Optimal Control: Lewis/Optimal Control 3e , 2012 .

[5]  D. Gapiński,et al.  A Control of Modified Optical Scanning and Tracking Head to Detection and Tracking Air Targets , 2013 .

[6]  Her-Terng Yau,et al.  Nonlinear dynamic analysis and sliding mode control for a gyroscope system , 2011 .

[7]  L. Baranowski Effect of the mathematical model and integration step on the accuracy of the results of computation of artillery projectile flight parameters , 2013 .

[8]  Izabela Krzysztofik,et al.  The process of tracking an air target by the designed scanning and tracking seeker , 2014, Proceedings of the 2014 15th International Carpathian Control Conference (ICCC).

[9]  Tsung-Chih Lin,et al.  Unknown nonlinear chaotic gyros synchronization using adaptive fuzzy sliding mode control with unknown dead-zone input , 2010 .

[10]  Zbigniew Koruba,et al.  Multi-channel, passive, short-range anti-aircraft defence system , 2018 .

[11]  Her-Terng Yau,et al.  Fuzzy sliding mode control for a gyroscope system , 2012, 2012 IEEE International Conference on Mechatronics and Automation.

[12]  Zheng-Ming Ge,et al.  Bifurcations and chaos of a two-degree-of-freedom dissipative gyroscope , 2005 .

[13]  Her-Terng Yau,et al.  Chaos synchronization of two uncertain chaotic nonlinear gyros using fuzzy sliding mode control , 2008 .

[15]  Zbigniew Koruba,et al.  Selected methods of control of the scanning and tracking gyroscope system mounted on a combat vehicle , 2017, Annu. Rev. Control..

[16]  Zbigniew Koruba,et al.  An algorithm for selecting optimal controls to determine the estimators of the coefficients of a mathematical model for the dynamics of a self-propelled anti-aircraft missile system , 2013 .

[17]  Wei Xu,et al.  Synchronization of two chaotic nonlinear gyros using active control , 2005 .

[18]  J. W. Humberston Classical mechanics , 1980, Nature.

[19]  Zbigniew Koruba,et al.  Mathematical Model of Movement of the Observation and Tracking Head of an Unmanned Aerial Vehicle Performing Ground Target Search and Tracking , 2014, J. Appl. Math..

[20]  B White,et al.  Advances in Missile Guidance, Control, and Estimation , 2012 .

[21]  Pedro Albertos,et al.  Tuning of a PID controlled gyro by using the bifurcation theory , 2008, Syst. Control. Lett..