Y cx du 1 2 1 1 1 t v d x x c c y x ax bu bekc3533

This preview shows page 2 - 5 out of 5 pages.

y Cx Du = + [ ] [ ] [ ][ ] ) ( 1 2 1 1 1 t v d x x c c y + = ! x = Ax + Bu
Image of page 2

Subscribe to view the full document.

BEKC3533 – SEM2, 15/16 DR. CHONG SH, FKE, UTEM 3 State-space representation DR CHONG 9 Exercise 2-10 Consider the system described by the coupled differential equations where u 1 and u 2 are inputs, y 1 and y 2 are outputs, k i , i = 1, …, 6 are the system parameters. Obtain the state-space representation of the differential equation. !! y 1 + k 1 ! y 1 + k 2 y 1 = u 1 + k 3 u 2 ! y 2 + k 4 y 2 + k 5 ! y 1 = k 6 u 1 State-Variable Modeling DR CHONG 10 Example 2-9 State-Variable Modeling DR CHONG 11 Example 2-10 State-Variable Modeling DR CHONG 12 Exercise 2-11
Image of page 3
BEKC3533 – SEM2, 15/16 DR. CHONG SH, FKE, UTEM 4 Simulation Diagrams § The basic element of the simulation diagram is the integrator. DR CHONG 13 ( ) ( ) y t x t dt = and the Laplace transform of this equation yields 1 Y( ) ( ) s X s s = Simulation Diagrams § We need TWO integrators to construct a simulation diagram of the mechanical system shown on left; DR CHONG 14 y ( t ): displacement !! y ( t ) = B M ! y ( t ) K M y ( t ) + 1 M f ( t ) Converting a Transfer Function to State-Space DR CHONG 15 Example 2-11 Find the state-space representation in phase variable form for the transfer function shown below: ( ) 3 2 ( ) 24 ( ) 9 26 24 C s R s s s s = + + + Converting from State-Space to a Transfer Function DR CHONG 16 y Cx Du = + State and output equations: ( ) 1 ( ) ( ) ( ) Y s T s C sI A B D U s = = + Take the Laplace transform assuming zero initial conditions: ( ) ( ) ( ) ( ) ( ) ( ) sX s
Image of page 4

Subscribe to view the full document.

Image of page 5
  • Spring '19
  • Dr.Saifulza
  • y1, Dr Chong

{[ snackBarMessage ]}

What students are saying

  • Left Quote Icon

    As a current student on this bumpy collegiate pathway, I stumbled upon Course Hero, where I can find study resources for nearly all my courses, get online help from tutors 24/7, and even share my old projects, papers, and lecture notes with other students.

    Student Picture

    Kiran Temple University Fox School of Business ‘17, Course Hero Intern

  • Left Quote Icon

    I cannot even describe how much Course Hero helped me this summer. It’s truly become something I can always rely on and help me. In the end, I was not only able to survive summer classes, but I was able to thrive thanks to Course Hero.

    Student Picture

    Dana University of Pennsylvania ‘17, Course Hero Intern

  • Left Quote Icon

    The ability to access any university’s resources through Course Hero proved invaluable in my case. I was behind on Tulane coursework and actually used UCLA’s materials to help me move forward and get everything together on time.

    Student Picture

    Jill Tulane University ‘16, Course Hero Intern