Missile navigation, guidance and control algorithms

ID: 1388
Course type: theoretical and methodological
Course coordinator: Todić N. Ivana
Lecturers: Todić N. Ivana
Contact: Todić N. Ivana
Level of studies: M.Sc. (graduate) Academic Studies – Mechanical Engineering
ECTS: 6
Final exam type: written
Department: Department of Weapon Systems

Lectures

Goal

Acquiring knowledge in the field of navigation guidance and control of missiles with the possibility of application in the fields of research and development, design, production, marketing, operational use and analysis of modern guided missiles. Mastering the methodology of calculating the dynamic characteristics of guided missiles. Acquisition of knowledge in the field of autopilots, different autopilot algorithms, as well as their synthesis. Introduction to different types and algorithms of control laws and their synthesis. Mastering inertial navigation as well as getting acquainted with algorithms for coupling inertial navigation with other types of navigation.

Outcome

The student acquires general knowledge in the field of analyzing and synthesizing a GNC system of guided missiles that enable participation and communication in work teams involved in the development of guided missiles. The student is trained for independent work in the fields of navigation algorithms as well as the selection of the necessary inertial seasons either for the navigation systems or for the needs of the missile guidance and control system. The student masters various algorithms and techniques from the calibration of inertial sensors and elements of the guidance and control system to synthesis of guidance algorithms and autopilots, algorithms for missiles stabilization. With the use of modern software environments MATLAB and SIMULINK, the student is trained to apply and analyse algorithms in this field.

Theoretical teaching

Basics of inertial navigation. Historical development of inertial navigation and strap-down INS. Coordinate frames. Kinematic Euler equation and algorithms of solving (Euler's angles, quaternions, Hamilton's parameters, Rodriges's theorem). Gyroscopes and accelerometers. Calibration of inertial units, testing and error correction. The basics of the global positioning system. Aided navigation systems. Introduction to the theory of guidance and control of the missiles (the basic principles of guidance and control). Analysis of dynamic characteristics of missiles and calculation of aerodynamic transfer functions. Requirements and methods of designing autopilots. Analyses and syntheses of proportional navigation, the command to LOS guidance and different approaches for trajectory correction and trajectory guidance.

Practical teaching

INS algorithms. Influence of sensor errors on inertial navigation. Calibration algorithms. Algorithms of integrated navigation systems. The practical realization of guided missiles (analyzed various construction solutions of guided missiles to review the role of guidance and control subsystem. The application of MATLAB and Simulink in design). Designing pitch, yaw and roll autopilots. Each student should solve a project of guidance system for the given missile data.

Attendance requirement

none

Resources

Titterton, D.H. and Weston, J.L., ”Strapdown Inertial Navigation Technology – 2nd edition”, IEE Radar, Sonar, Navigation and Avionic Series 17, ISPB 0-86341-358-7, 2004 Savage, P.G., ”Strapdown Inertial Navigation Integration Algorithm Design Part 1: Attitude Algorithms”, Journal of Guidance, Control, and Dynamics, Vol. 21, No. 1, pp. 19-28, Jan.-Feb. 1998 Savage, P.G., ”Strapdown Inertial Navigation Integration Algorithm Design Part 2: Velocity and Position Algorithms”, Journal of Guidance, Control, and Dynamics, Vol. 21, No. 2, pp. 208-221, Mar.-Apr. 1998 Salychev, O., “Inertial Systems in Navigation and Geophysics”, Bauman MSTU Press, ISBN 5-7038-1346-8, MOSCOW 1998 Salychev, O., “Applied Inertial Navigation: Problems and Solutions”, Bauman MSTU Press, ISBN 5-7038-2395-1, MOSCOW 2004 Cuk, D .: Lectures in course Missile guidance and control, Faculty of Mechanical Engineering, Belgrade, 2002 (handouts)

Assigned hours

Total assigned hours: 75

Active teaching (theoretical)

New material: 20
Elaboration and examples (recapitulation): 10

Active teaching (practical)

Auditory exercises: 0
Laboratory exercises: 5
Calculation tasks: 10
Seminar paper: 0
Project: 15
Consultations: 0
Discussion/workshop: 0
Research study work: 0

Knowledge test

Review and grading of calculation tasks: 0
Review and grading of lab reports: 0
Review and grading of seminar papers: 0
Review and grading of the project: 5
Test: 5
Test: 0
Final exam: 5

Knowledge test (100 points total)

Activity during lectures: 10
Test/test: 20
Laboratory practice: 0
Calculation tasks: 0
Seminar paper: 0
Project: 25
Final exam: 45
Requirement for taking the exam (required number of points): 0

Literature

P. Garnel: Guided Weapon Control System, Pergamon Press, New York, 1980.; ; Danilo Ćuk: Design of Beam-Riding Laser Guidance System,MTI, 1998.; Danilo Ćuk: Theory of Homing Systems, Proportional Navigation,MTI, 1998. ; Titterton, D.H. and Weston, J.L., ”Strapdown Inertial Navigation Technology – 2nd edition”, IEE Radar, Sonar, Navigation and Avionic Series 17, ISPB 0-86341-358-7, 2004; Salychev, O., “Applied Inertial Navigation: Problems and Solutions”, Bauman MSTU Press, ISBN 5-7038-2395-1, MOSCOW 2004