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Course Co-ordinated by IISc Bangalore
Coordinators
 
Dr. Radhakant Padhi
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.



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