
232 Cyber-Physical Systems: From Theory to Practice
Using the two error measurement functions, two versions of the error-bounded PLA problem can
be formulated.
Problem9.3(PLA-PointBoundproblem): Given an error-bound ,thePLA-PointBound problem
is to find an -PLA
˜
X such that maxerr(X,
˜
X) ≤ and |
˜
X| is minimized.
Problem 9.4 (PLA-SegmentBound problem): Given an error-bound ,thePLA-SegmentBound
problem is to find an -PLA
˜
X such that segerr(X,
˜
X) ≤ and |
˜
X| is minimized.
It is worth noting that different versions of the -PLA problem require different solutions.
Generally, the PLA-PointBound problem composes a stronger quality requirement than