This preview shows pages 1–2. Sign up to view the full content.
This preview has intentionally blurred sections. Sign up to view the full version.
View Full 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 ﬁvenumber
sequence; this exchange constitutes one experiment. For each possible machine characteris
tic below, give enough sets of inputoutput sequences (that is, ”experiments”) that would
demonstrate it:
1. Linear, timeinvariant
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, timevarying
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, timeinvariant
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 timeinvariant.
4. Nonlinear, timevarying
A solution: [2,3,4,0,0] → [1,1,0,1,1] and [0,4,6,8,0] → [0,0,3,0,3]. A timevarying 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
This note was uploaded on 11/29/2011 for the course CIVIL 1.00 taught by Professor Georgekocur during the Spring '05 term at MIT.
 Spring '05
 GeorgeKocur

Click to edit the document details