University of California at Berkeley
Department of Mechanical Engineering
ME C232/EE C220A Advanced Control Systems I
Homework Set #1
Assigned: September 3 (Tu)
Due: September 12 (Th)
[1]
Convolution integral is defined by
Fall 2013
Show that given and ,
ME C232/EE C220A Advanced Ctr Sys I [Fall 2013]
Discussion 4
September 27, 2013
1.

ZOH equivalent of a continuous system
Ztransform of a sampled continuous signal and ZOH equivalent of a continuous system
the formula of ZOH equivalent
a general procedu
ME C232/EE C220A Advanced Ctr Sys I [Fall 2013]
Discussion 3
September 20, 2013
1.

More on linear algebra
review LA in one sentence (see backside)
computing matrix inverse
more about Jordan decomposition
an example
2. About time domain solution
 proble
ME C232/EE C220A Advanced Ctr Sys I [Fall 2013]
Discussion 2
September 13, 2013
1. Fraction Expansion
2.

Forks in control theory and the corresponding mathematical tools
differential equations and real analysis
frequency domain methods and complex analy
ME C232/EE C220A Advanced Ctr Sys I [Fall 2013]
Discussion 1
September 6, 2013
1. Role of Laplace and Ztransform in control theory
2. Laplace transform
cfw_
at
cos t

properties (see attached): L e

inverse transform:

solve differential equations: y