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## Lecture Details :

Advanced Control System Design by Radhakant Padhi, Department of Aerospace Engineering, IISC Bangalore For more details on NPTEL visit http://nptel.iitm.ac.in

## Course Description :

In this course concepts and techniques of linear and nonlinear control system analysis and synthesis will be studied in the modern control (state space) framework.
It will have preferential bias towards aerospace applications, especially towards guidance and control of aircrafts and missiles.
contents:
1.Introduction and Motivation
Introduction and Motivation for Advanced Control Design
2.Review of Classical Control
Classical Control Overview – I
Classical Control Overview – II
Classical Control Overview – III
Classical Control Overview – IV
3.Flight Dynamics
Basic Principles of Atmospheric Flight Mechanics
Overview of Flight Dynamics – I
Overview of Flight Dynamics – II
4.Representation of Linear Systems
Representation of Dynamical Systems – I
Representation of Dynamical Systems – II
Representation of Dynamical Systems – III
5. Review of the Matrix Theory
Review of Matrix Theory – I
Review of Matrix Theory – II
Review of Matrix Theory – III
6. Review of Numerical Methods
Review of Numerical Methods
7. Linearization of Nonlinear Systems
Linearization of Nonlinear Systems
8. Time Response, Stability, Controllability and Observability of Linear Systems
First and Second Order Linear Differential Equations
Time Response of Linear Dynamical Systems
Stability of Linear Time Invariant Systems
Controllability and Observability of Linear Time Invariant Systems
9. Pole Placement, Controller and Observer Design of Linear Systems
Pole Placement Control Design
Pole Placement Observer Design
10. Static Optimization
Static Optimization: An Overview
11. Optimal Control Design
Calculus of Variations: An Overview
Optimal Control Formulation using Calculus of Variations
Classical Numerical Methods for Optimal Control
Linear Quadratic Regulator (LQR) Design – I
Linear Quadratic Regulator (LQR) Design – II
12. Linear Control Applications in Flight Control Design
Linear Control Design Techniques in Aircraft Control – I
Linear Control Design Techniques in Aircraft Control – II
13. Nonlinear System Analysis Using Lyapunov Theory
Lyapunov Theory – I
Lyapunov Theory – II
Constructions of Lyapunov Functions
14. Nonlinear Control Synthesis
Dynamic Inversion – I
Dynamic Inversion – II
15. Nonlinear Observer and Kalman Filter Design
Integrator Back-Stepping; Linear Quadratic (LQ) Observer
An Overview of Kalman Filter Theory

## Other Resources :

### Syllabus | Citation |

These lecture videos are delivered by IISc Bangalore, under the NPTEL program, lot of nptel video courses are available for learning online.