Reference:
A. Hegyi,
B. De Schutter, and
J. Hellendoorn,
"Optimal coordination of variable speed limits to suppress shock waves
- Addendum," Tech. rep. CSE02-015a, Control Systems Engineering, Fac.
of Information Technology and Systems, Delft University of Technology,
Delft, The Netherlands, 4 pp., Mar. 2003.
Abstract:
The purpose of this document is to give a more detailed explanation
of the performance degradation as described in the paper "Optimal
coordination of variable speed limits to suppress shock waves" (by A.
Hegyi, B. De Schutter, and J. Hellendoorn, Transportation Research
Record, no. 1852, pp. 167-174, 2004). For the simulation settings
in that paper the degradation occurs for the "floor" type of rounding
of the real-valued control signal (resulting from the MPC
optimization), but does not occur for "round" and "ceil" types of
rounding. In this document we show and explain that if the
discrete-valued speed limit step size is increased, the degradation
occurs in all cases, but for the floor type of rounding first.