The expectation or expected value of a random variable is a single number that tells you a lot about the behavior of the variable. Roughly, the expectation is the average value, where each value is weighted according to the probability that it comes up. Formally, the expected value of a random variable r defined on a sample space s is: (B)=∑R()Pr(o) To appreciate its signficance, suppose S is the set of students in a class, and we select a student uniformly at random. Let r be the selected student's exam score. Then
Handout 6: Proportional Compensation Eric Feron Feb25,2004 Plant under study: 1/10 G(s)=(s+1)(s/10+1)2 Compensation Scheme: We adjust the gain K in the feedback loop (draw the feedback loop below)
Above, analysis for multivariable control systems with respect to nominal and robust st ability as well as nominal and robust performan has been assessed. It was assumed that the spec- ifications for robustness were given in terms of weight matrices Wu(s) and Wu2(s), and that the performance specifications similarly were given by weight matrices Wpi(s) and Wp2()