Course Co-ordinated by IISc Bangalore
 Coordinators IISc Bangalore

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In this course concepts and techniques of optimal guidance,Control and state estimation will be studied for aerospace vehicles (especially for aircrafts, launch vehicles and missiles), both in linear and nonlinear systems theory framework.

However, the theory as well as some demonstrative examples will be quite generic and hence this course is expected to be useful to the students from other engineering disciplines as well.

 Modules Topics 1. Introduction and Review of Basic Concepts 01.Introduction, Motivation and Overview 02.Overview of SS Approach and Matrix Theory 03.Review of Numerical Methods 2. Static Optimization 04.An Overview of Static Optimization – I 05.An Overview of Static Optimization – II 3. Optimal Control through Calculus of Variation 06.Review of Calculus of Variations – I 07.Review of Calculus of Variations – II 08.Optimal Control Formulation Using Calculus of Variations 4. Classical Numerical Techniques for Optimal Control 09.Classical Numerical Methods to Solve Optimal Control Problems 5. Linear Quadratic Regulator (LQR) Theory 10.Linear Quadratic Regulator (LQR) – I 11.Linear Quadratic Regulator (LQR) – II 12.Linear Quadratic Regulator (LQR) – III 13.Linear Quadratic Regulator (LQR) – III 6. Discrete-time Optimal Control 14.Discrete-time Optimal Control 7. Overview of Flight Dynamics 15.Overview of Flight Dynamics – I 16.Overview of Flight Dynamics – II 17.Overview of Flight Dynamics – III 8. Optimal Missile Guidance 18.Linear Optimal Missile Guidance using LQR 9. State Dependent Riccati Equation and θ – D Designs 19.SDRE and θ - D Designs 10. Dynamic Programming and Adaptive Critic Design 20.Dynamic Programming 21.Approximate Dynamic Programming (ADP), Adaptive Critic (AC) and Single       Network Adaptive Critic (SNAC) Design 11. Advanced Numerical Techniques for Optimal Control 22.Transcription Method to Solve Optimal Control Problems 23.Model Predictive Static Programming (MPSP) and Optimal Guidance of Aerospace Vehicles 24.MPSP for Optimal Missile Guidance 25.Model Predictive Spread Control (MPSC) and Generalized MPSP (G-MPSP) Designs 12. LQ Observer and Kalman Filter Design 26.Linear Quadratic Observer & An Overview of State Estimation 27.Review of Probability Theory and Random Variables 28.Kalman Filter Design – I 29.Kalman Filter Design – II 30.Kalman Filter Design – III 13. Integrated Estimation, Guidance and Control 31.Integrated Estimation, Guidance & Control – I 32.Integrated Estimation, Guidance & Control – II 14 Linear Quadratic Guassian Design 33.LQG Design; Neighboring Optimal Control& Sufficiency Condition 15 Constrained Optimal Control 34.Constrained Optimal Control – I 35.Constrained Optimal Control – II 36.Constrained Optimal Control – III 16. Optimal Control of Distributed Parameter Systems 37.Optimal Control of Distributed Parameter Systems – I 38.Optimal Control of Distributed Parameter Systems – II 17. Review and Summary 39.Take Home Material: Summary – I 40.Take Home Material: Summary – II

1. Exposure to Modern Control Theory, Matrix Theory and Differential Equations.

1. D. S. Naidu: Optimal Control Systems, CRC Press, 2002.

2. A. Sinha: Linear Systems: Optimal and Robust Control, CRC Press, 2007.

3. A. E. Bryson and Y-C Ho: Applied Optimal Control, Taylor and Francis, 1975.

4. A. P. Sage and C. C. White, III: Optimum Systems Control (2nd Ed.), Prentice Hall, 1977.

5. D. E. Kirk: Optimal Control Theory: An Introduction, Prentice Hall, 1970.

6. J. L. Crassidis and J. L. Junkins: Optimal Estimation of Dynamic Systems, CRC Press, 2004.