MIT2_017JF09_p05

MIT2_017JF09_p05 - 5 LTI MACHINE 5 8 LTI Machine If you put...

Info iconThis preview shows pages 1–2. Sign up to view the full content.

View Full Document Right Arrow Icon

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full Document Right Arrow Icon
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: 5 LTI MACHINE? 5 8 LTI Machine? If you put a sequence of five numbers into a certain machine, it responds with a five-number sequence; this exchange constitutes one experiment. For each possible machine characteris­ tic below, give enough sets of input-output sequences (that is, ”experiments”) that would demonstrate it: 1. Linear, time-invariant A solution: [1,1,1,1,1] → [3,2,2,1,0] and [0,2,2,2,2] → [0,6,4,4,2]. 2. Linear, time-varying A solution: [1,1,0,0,0] → [0,3,2,1,0] and [0,2,2,0,0] → [0,6,4,2,0]. 3. Nonlinear, time-invariant A solution: [1,2,3,0,0] → [5,4,3,0,0] and [0,2,4,6,0] → [0,4,3,2,0]. Note this is a static mapping; a dynamic system would take more trials to determine that it was both nonlinear and time-invariant. 4. Nonlinear, time-varying A solution: [2,3,4,0,0] → [1,1,0,1,1] and [0,4,6,8,0] → [0,0,3,0,3]. A time-varying system cannot be a static map, so we have to have dynamics. However, similarly to the above case, there is a limit to what can be deduced with only two trials. MIT OpenCourseWare http://ocw.mit.edu 2.017J Design of Electromechanical Robotic Systems Fall 2009 For information about citing these materials or our Terms of Use, visit: http://ocw.mit.edu/terms . ...
View Full Document

{[ snackBarMessage ]}

Page1 / 2

MIT2_017JF09_p05 - 5 LTI MACHINE 5 8 LTI Machine If you put...

This preview shows document pages 1 - 2. Sign up to view the full document.

View Full Document Right Arrow Icon
Ask a homework question - tutors are online