QIP Short Term Course On

Basics of State-space: Dynamical system response in a vector space, representation of linear dynamical systems in the state-space, various canonical f...

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Completed Registration form should be sent to Course coordinator: Prof. Ashok Joshi Course Coordinator Department of Aerospace Engineering Indian Institute of Technology Bombay Powai, Mumbai – 400 076 Phone: (022) – 25767113 Fax: (022) – 25722602 Email: [email protected]

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Deadline for submitting application: Friday April 4 th, 2014 Notification of acceptance: April 18th, 2014 • Incomplete application forms will not be entertained. • For additional copies of the registration form, use a photocopy of this brochure or type in the format given. For further details: http://www.iitb.ac.in/~qip/

FACULTY The teaching faculty in this course consists of Prof. Ashok Joshi, who is also the course coordinator.

For information on other Quality Improvement Programmes at IITB, contact: PROF-IN-CHARGE (CE & QIP), OFFICE OF CONTINUING EDUCATION & QUALITY IMPROVEMENT PROGRAMMES INDIAN INSTITUTE OF TECHNOLOGY BOMBAY, POWAI, MUMBAI 400 076 Tel. No. : 2572 6199 (D), 2576 7060. Email : [email protected]

For latest information on QIP, Please visit our home page at: http://www.iitb.ac.in/~qip

QIP Short Term Course On

VENUE FOR CLASSES Classes will be held in the Seminar Hall of CASDE, Department of Aerospace Engineering, IIT Bombay. LECTURE NOTES

In order to help the participants to understand the concepts better, the lecture notes along with a summary of the contents will be provided at the beginning of each lecture.

Dynamics & Control in State-Space (DCSS_14) MAY 19 – 23, 2014

INTRODUCTION

COURSE CONTENTS

ELIGIBILITY

In recent times, state – space based analysis of dynamical systems has gained acceptance within aerospace and other industries. State – space domain, which permits treatment of dynamical systems in time domain, has the advantage of making the control design process more systematic and structured. It also has the advantage of uniformity in the solution of control problems in diverse systems. The present course is a judicious mix of basic concepts and advanced techniques in the area of state –space based analysis and design of control systems. Main objective of the course is to lay the foundation of state – space based analysis procedures including basic tools commonly used in understanding the behaviour of dynamical systems in time domain. The course also aims to touch upon a few control design procedures commonly employed while dealing with such tasks in the state – space domain. The course is at a moderate level and provides sufficient mathematical background that is necessary to understand and appreciate the strengths of various techniques of state – space based analysis and design. The course provides adequate background in linear algebra prior to introducing the state – space based analysis and design techniques. The lectures are supplemented with a number of problem solving sessions and take-home assignments to enable enhanced learning.

Introduction: Time domain representation of dynamical systems, basics of time response of higher order linear systems, algebraic perspective for dynamical system response Vector Algebra: Vector spaces, concept of linear independence, basis vectors/dimension, linear transformations Solution Spaces: solution of linear algebraic systems, concept of kernel and image spaces, concept of eigenvalues, eigenvectors and eigenspace System Forms: Diagonal and Jordan forms, characteristic equation, operator form of linear dynamical systems, analytic functions of square matrices and Cayley-Hamilton theorem. Basics of State-space: Dynamical system response in a vector space, representation of linear dynamical systems in the state-space, various canonical forms System Solution Space: Concept of fundamental matrix and state transition matrix, solution of homogeneous and nonhomogeneous systems, evaluation of matrix exponential Stability Analysis: Energy based stability hypothesis, Lyapunov’s theorem of stability, concept of phase plane and state-trajectory based stability analysis. Stability analysis of nonlinear systems. Control Concepts: Controllability of dynamical systems, regulator problem and full state feedback control structure, pole-placement design technique, tracking control structures, optimal control system using Linear Quadratic Regulator (LQR), output feedback control concept State Observers & Filters: Concept of observability & its role in control, full/reduced order observers, observer controllers, State estimation in noisy environment, recursive least-squares filters, Kalman filter in continuous domain. Optimal & Robust State Feedback Control: The separation principle, Linear Quadratic Gaussian (LQG), optimal tracking control design, H∞ norm based robust control design. Non-linear & MIMO Systems: Feedback linearization & nonlinear dynamic inversion (NDI) based techniques, concept of MIMO control, eigenspace assignment technique for linear systems.

Faculty members of Engineering colleges recognized by AICTE are eligible to attend the course.

BROAD OBJECTIVES The present course is a judicious mix of basic and advanced concepts of time domain analysis using state – space based techniques. The course is beneficial to all those who are starting their teaching careers in state – space based control system analysis and design. The course will also benefit those of you who are already teaching the subject and need exposure to some of the advanced methods of design in state – space domain. Participants should be conversant with matrix methods.

TRANSPORT, BOARDING & LODGING Participants are entitled for II class or III AC railway fare to and fro by the shortest route from college to IIT Bombay. All participants will be given auto rickshaw fare from Kanjurmarg/ Andheri to IIT on the dates of arrival and departure. Local participants will be paid second class railway fare or BEST Bus fare. Boarding and lodging will also be provided in the Student Hostels free of cost. In case participants are desirous of staying in Institute Guest House, QIP office will reimburse upto maximum of `250/- per day towards lodging charges as per AICTE guidelines against the actual Guest House Bill. A request is to be made in this regard at the time of registration.

REGISTRATION There is no registration fee for the course. However, all short-listed candidates are required to confirm their participation by sending a non-refundable Demand Draft of Rs. 2,000/- in the name of “Registrar IIT Bombay”.

COURSE SCHEDULE & EVALUATION The programme is scheduled to be held during May 19-23, 2014. Successful participants would be awarded ‘Course Completion Certificate’.

QIP Short Term Course

QIP Short Term Course

on

QIP Short Term Course

on

on

Dynamics & Control in State – Space (DCSS_14)

Dynamics & Control in State – Space (DCSS_14)

Dynamics & Control in State – Space (DCSS_14)

May 19-23, 2014

May 19-23, 2014

May 19-23, 2014

Registration Form

Registration Form

Registration Form

1.Name (in block letters):_______________________

1.Name:________________________________

1.Name:________________________________

2.College/Univ._____________________________

2.College/Univ.__________________________

2.College/Univ.__________________________

3. Qualification:____________________________

3. Qualification:_________________________

3. Qualification:_________________________

4.Address:_________________________________

4.Address:______________________________

4.Address:______________________________

_________________________________________

______________________________________

______________________________________

5. Age :______

5. Age :______

5. Age :______

Sex ( M/F):_________

Sex ( M/F):_________

Sex ( M/F):_________

6.Telephone:____________________________

6.Telephone:____________________________

6.Telephone:____________________________

Fax:___________________________________

Fax:___________________________________

Fax:___________________________________

Email:__________________________________

Email:__________________________________

Email:__________________________________

7. Prior Exposure to DIP:

7. Prior Exposure to DIP:

7. Prior Exposure to DIP:

Yes / No

Yes / No

Yes / No

8. Sign of applicant_______________________

8. Sign of applicant_______________________

8. Sign of applicant_______________________

9. Accommodation in Campus: YES / NO

9. Accommodation in Campus: YES / NO

9. Accommodation in Campus: YES / NO

Accommodation in (Hostel / *Guest House) 10. Remarks of Forwarding Authority: (Seal and Sign. of Forwarding Authority)

Accommodation in (Hostel / *Guest House) 10. Remarks of Forwarding Authority: (Seal and Sign. of Forwarding Authority)

Accommodation in (Hostel / *Guest House) 10. Remarks of Forwarding Authority: (Seal and Sign. of Forwarding Authority)