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Page 1: giJl - University of Technology, Iraq form 2015... · 2018. 1. 19. · il Solution of state transition matrix (Caley Hamilton and Sylveste/s expansion) 3lLLl2014 7 il Solution of
Page 2: giJl - University of Technology, Iraq form 2015... · 2018. 1. 19. · il Solution of state transition matrix (Caley Hamilton and Sylveste/s expansion) 3lLLl2014 7 il Solution of

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n0ne State space from Transfer function 22l9l2OL4 Iil Transfer function from State Space 29lel2Ot4 Iil Solution of time-invariant state equation 6lL0l20L4 3lt State transition matrix L3lt0lz0L4 4il Caley Hamilton method 201L0120L4 5il Solution of state transition matrix (Laplace transform and Power series) 271L0120t4 6il Solution of state transition matrix (Caley Hamilton and Sylveste/s expansion) 3lLLl2014 7il Solution of state transition matrix ( Similarity Transformation Method) L0ltLl20L4 8ll Characteristic polynomial and minimum polynomial t7lLLl20t4 9il Eigenvalues and Eigenvectors (distinct roots) 24lLLl20L4 10il Eigenvalues and Eigenvectors (repeated roots) LlL2l2074 1lil Eigenvalues and Eigenvectors (repeated roots) 8lLzl20L4 t2il Diagonalization of matrix (using eigenvectors) L5112120L4 13lt Jordan Form 221L212074 t4l/ Vandermonde matrix and matrix power zelL2/20t4 15il Assessment slLl2oL4 L6

!+ '#.{S..none Observability with distinct and repeated eigenvalues t6l212oL4 t7il Controllability with distinct and repeated eigenvalues 2312120L4 18ll Stabilizability and detectability 213120L4 19il Liapunov Stability and equilibrium points eFl2aL4 20ll Definiteness of Scalar Function L6l3l20L4 2til Liapunov Stability of linear system ?,313120L4 22lt Liapunov Stability of nonlinear system 30l3l2oL4 23il Krasovskii's Theorem 6/4120L4 24il Pole placement with canonical form t3l4l2oL4 25lt Pole placement without canonical form 20l4120L4 26il Concept of state observer and Full-order state observer 27l4l2OL4 )1/t Reduced-order state observer 4lslz0L4 28ll t lntroduction to optimal control LLlsl2oL4 29il Linear quadratic (LQ) problem 18lsl2CIL4 30il Linear quadratic (LQ) problem 2slsl2ot4 31lt Assessment Ll6l20L4 32

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Page 3: giJl - University of Technology, Iraq form 2015... · 2018. 1. 19. · il Solution of state transition matrix (Caley Hamilton and Sylveste/s expansion) 3lLLl2014 7 il Solution of

Republic of lraqThe Ministry of Higher Education

& Scientific Research

University:University of Technology .

College:Department:Control & Systems DeptStage:Fourth StageLecturer name:Dr. Amjad J. Humaidi

Academic Status:Assistant Prof,

Qualification: Ph,D

Place of work: Control & Systems Dept

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Course llleeklv OutlineAmiad Jaleel Humaidi

amiad.i.h@uotechnolo gy. edu.iqAdvanced Control Theory

-'t==;' ii=Ji ifil, i tflii ii:E

Course ObjectiveThis course aims to qualify the students of control

specialization to use advanced conkol techniques, which arebased on advanced mathematics

State space representation, state transition matrix, Methods of solution of statetransition matrix, Caley Hamilton, eigenvalues and eigenvectors, diagonalization,

Obsevability, Controllability, Lypunov stability theorem, pole-placement,observers. ootimal control.

1. Richard C. Dorf, Robert H. Bishop" Modern Control System," Prentice Hall,20t1.

2. William L. Brogan," Modern Control Theory" Prentice-Hall International,Inc., 1991.

3. Katsuhiko Ogata, "Modem control engineering", Prentice-Hall, 20101. Robert L. Williams II, Douglas A. Lawrence, " Linear state space Control

System," John Wiley & Sons. 2A07.

20o/o none 10% I As (40%\

Page 4: giJl - University of Technology, Iraq form 2015... · 2018. 1. 19. · il Solution of state transition matrix (Caley Hamilton and Sylveste/s expansion) 3lLLl2014 7 il Solution of

Republic of lraqThe Ministry of Higher Education

& Scientific Research

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University: university of Techmology "

College:Department:Control and Systems Dept.

Stage:Fourth Year

Lecturer name:Amjad jaleel Humaidi

Academic Status:Assistant Prof,

Qualification: Ph.D,

Place of work: UOT-Control & Systems

Course klv Outlinwee ll e;.;':=;=!l*ffii '"'As*iu6*ent$

Nd,,,{

1 22t9t2014 State space from Transfer function n0ne

2 291912014 Transfer function from State Space

3 611012014 Solution of time-invariant staie equation

4 13t10t2014 State transition matrix il5 2011012014 Caley Hamilton method

6 27t10t2014 Solution of state transition makix (Laplace transform and Power series)

3t11t2014 Solution of state transition matrix (Caley Hamilton and Sylveste/s expansion) llB 1011112014 Solution of state transition matrix ( Similarity Transformation Method)

9 1711112014 Characteristic polynomial and minimum polynomial ilt0 2411112014 Eigenvalues and Eigenvectors (distinct roots) il11 111212014 Eigenvalues and Eigenvectors (repeated roots) //t2 811212014 Eigenvalues and Eigenvectors (repeated roots) il13 15t12t2014 Diagonalization of matrix (using eigenvectors) ilt4 2211212014 Jordan Form

15 2911212014 Vandermonde matrix and matrix power ilt6 sl1t2014 Assessment il

,Haff-y f Bie.

t7 161212014 Observability with distinct and repeated eigenvalues ili8 231212014 Controllability with distinct and repeated eigenvalues

t9 21312014 Stabilizability and detectability

20 w3lzaM Liapunov Stability and equilibrium points il21 161312014 Definiteness of Scalar Function il22 231312014 Liapunov Stability of linear system /tZJ 301312014 Liapunov Stability of nonlinear system il24 61412014 Krasovskii's Theorem il25 131U2014 Pole placement with canonical form il26 201412014 Pole placement without canonical form il27 271412014 Concept of state observer and Full-order state observer il28 4tst2014 Reduced-order state observer

29 111512014 lntroduction to optimal control

30 18t5t2014 Linear quadratic (LQ) problem

31 251512014 Linear quadratic (LQ) problem il32 11612014 Assessment il

Instructor Signature:

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