IOT and Cyber Physical Systems - Computer Science
Page 1
CPS 499/592: Cyber-Physical Systems and the Internet of Things, Spring 2021
University of Dayton
Homework Assignment 1, Due: 11:55 PM, 02/10/2020
Note: Students should start working on homework as early as possible. Please work by yourself
and submit your solution as one pdf file to Isidore.
Problem 1 (40 points): Consider a modified version of the Delay component, called OddDelay,
that has a Boolean input variable in, a Boolean output variable out, and two Boolean state variables
x and y. Both the state variables are initialized to 0, and the reaction description is given by:
if y then out := x else out := 0;
x := in;
y := ¬y.
a. Describe in words the behavior of the component OddDelay. (Hint: what is the output at odd
and even rounds?)
b. List a possible execution of the component if it is supplied with the sequence of inputs 0, 1, 1,
0, 1, 1, 1, 0, 0, 1 for the first tenth rounds.
c. Describe the component OddDelay as an extended-state machine with two modes. The mode
of the state machine should capture the value of the state variable y, while the state variable x
should be updated using assignments in the mode-switches.
d. Is the OddDelay component finite-state? Draw the corresponding Mealy machine.
Recall that Delay is:
Problem 2 (30 points): In this problem, we will design a synchronous reactive component to set
the cruising speed of a vehicle. This component corresponds to the SetSpeed component in the
cruise-control system CruiseController. The SetSpeed component takes the following inputs:
– event(bool) cruise: This event models the user turning the cruise control on or off.
– nat speed: This input models the speed input from the vehicle (corresponds to the current
speed of the vehicle).
– event inc: This input models the user requesting an increase in the cruising speed.
– event dec: This input models the user requesting a decrease in the cruising speed.
It has one output:
– event(nat) cruiseSpeed: this output, if presents, contains the current cruising speed.
The component maintains two state variables:
– an enumerated type variable called mode = {on, off} that keeps track of whether the
controller is turned on or off.
– a current desired (nat) speed s.
Page 2
There are two constants called minSpeed and maxSpeed that we will use within the component.
The operation of the component is as follows. The component updates the state variable on
according to the following rule: every time the event cruise occurs, the variable mode is set to on.
Then the component outputs the cruising speed using the cruiseSpeed output variable. If the current
speed s is within the legal range minSpeed and maxSpeed, then the cruiseSpeed variable is set to
s; if not, it is set to the closest legal value (i.e. minSpeed or maxSpeed). Also, when mode is on, if
a dec event is received, then the cruising speed is decremented (restricting the lowest speed to
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