Automotive Control Systems: For Engine, Driveline, and Vehicle, Second Edition

Appendix B: Nomenclature

B.1 Mathematical Definitions

Indices:

(.) FL, (.) FR, (.) RL, (.) RR

Wheel indices:

front left, front right, rear left, rear right

(.) F, (.) R

front and rear axle

Dimensions of vectors and matrices:

n

Number of states

m

Number of control inputs

k

Number of measurements

Vectors:

x

? ? n

State vector

u

? ? m

Input vector

y

? ? k

Measurement vector

Matrices:

A

? ? n,n

System matrix

B

? ? n,m

Input matrix

C

? ? k,n

Output matrix

D

? ? k,m

Throughput matrix

K C

feedback matrix (control law)

B.2 Physical variables

Symbol

Units

Physical variable

A

a eng

[ m/s 2]

negative acceleration at engine coasting

a N

[ m/s 2]

normal acceleration

a X

[ m/s 2]

longitudinal acceleration of CoG

a xpot

[ m/s 2]

potential braking acceleration of drivers

a Y

[ m/s 2[

lateral acceleration of CoG

a ypot

[ m/s 2]

driver-dependant tolerable lateral acceleration

a Z

[ m/s 2]

vertical acceleration of CoG

A

relative amount of effective collisions

A B

constant of soot accruement

A Br

[ m 2]

area of wheel brake cylinder

A ch

[ m 2]

combustion chamber surface

A CYL

[ m 2]

cylinder head surface

A eff

[ m 2]

opening area of valve, cross sectional area

A L

[ m 2]

max. vehicle cross sectional area

A n

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