# Sebastian Castro

### MathWorks

Robotics and AI educator at MathWorks. Co-host of the MATLAB and Simulink Robotics Arena.

Professional Interests: Education, Robotics, Simulation, Controls, Algorithms, Physical Modeling, Model-Based Design, Computer Vision, Machine Learning, Software Engineering

Non-professional Interests: Running, beer, wine, and heavy metal \m/

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**Content Feed**

Solved

Pose from bearing angles in 2D

A robot moving on the plane has a sensor that measures the bearing angle to two mapped landmarks, that is, the world frame coord...

2 years ago

Solved

Twists in 2D

So far we have represented the pose of an object in the plane using a homogeneous transformation, a 3x3 matrix belonging to the ...

2 years ago

Solved

Pose interpolation in 2D

Consider two poses represented by homogeneous transformation matrices: |T1| and |T2|. Write an algorithm to interpolate between...

2 years ago

Solved

Composing relative poses in 2D: problem 2

We consider a world reference frame denoted by {0} which has its x-axis pointing east and its y-axis pointing north. There i...

2 years ago

Solved

Composing relative poses in 2D: problem 1

We consider a world reference frame denoted by {0} which has its x-axis pointing east and its y-axis pointing north. There i...

2 years ago

Solved

Relative points in 2D: problem 3

The 2D pose of a robot, with respect to a world coordinate frame {O}, is described by a 3x3 homogenous transform matrix T. A la...

2 years ago

Solved

Relative points in 2D: problem 2

The 2D pose of a robot, with respect to a world coordinate frame {O}, is described by a 3x3 homogenous transform matrix T. A la...

2 years ago

Solved

Relative points in 2D: problem 1

The 2D pose of a robot, with respect to a world coordinate frame {O}, is described by a 3x3 homogenous transform matrix T. A la...

2 years ago

Solved

Relative pose in 2D: problem 2

We consider a world reference frame denoted by {0} which has its x-axis pointing east and its y-axis pointing north. There is a...

2 years ago

Solved

Relative pose in 2D: problem 1

We consider a world reference frame denoted by {0} which has its x-axis pointing east and its y-axis pointing north. There is a...

2 years ago

Solved

Compute the step response of a DC motor

Compute the step response of a DC motor shown below <<http://blogs.mathworks.com/images/seth/cody/dc-motor.png>> The param...

6 years ago

Solved

Model a simple pendulum

Model a simple pendulum of length 200cm with bob of mass 100g and plot the position in degrees. The pendulum starts at 30 degree...

6 years ago

Solved

Produce a Fibonacci sequence

Construct a diagram that generates the Fibonacci sequence: 1, 1, 2, 3, 5, 8, 13, 21, 34.....up to 377 The Fibonacci sequ...

6 years ago

Solved

Make a low pass filter

Make a first order low pass filter that will filter out the high frequency oscillations for the given input signal. The cut-off ...

6 years ago

Solved

Model a falling body

An object is falling freely from a height of 22 meters under the force of gravity. <<http://blogs.mathworks.com/images/seth/c...

6 years ago

Solved

Model a mass spring system

Model an ideal mass-spring system shown below where the spring is initially stretched. <<http://blogs.mathworks.com/images/se...

6 years ago

Solved

Counting pulses in a signal

Count the number of pulses that are the result of summing each pulse generator block. Pulse Generator blocks produce a recurr...

6 years ago

Solved

Add damping to a mass spring system

Model an ideal mass-spring-damper system shown below where the spring is initially stretched. <<http://blogs.mathworks.com/im...

6 years ago

Solved

Make a full wave rectifier

Produce a full wave rectifier waveform for the given sine wave source. For a sine wave input, the output of the full wave rec...

6 years ago

Solved

Add offset to a signal

Produce the following signal: <<http://blogs.mathworks.com/images/seth/cody/add-offset-eqn.png>> You should see a downward...

6 years ago

Solved

Produce a sine wave

Produce a sine wave with amplitude 3: <<http://blogs.mathworks.com/images/seth/cody/sine-eqn.png>>

6 years ago

Solved

Produce a cosine wave

Produce the following signal: <<http://blogs.mathworks.com/images/seth/cody/cosine-eqn.png>>

6 years ago

Solved

Make a half wave rectifier

Produce a signal that outputs the given sine wave source when it is greater than zero and outputs zero when it is less than zero...

6 years ago

Solved

Connect blocks in a model

Connect the blocks in the model to produce the following signal: <<http://blogs.mathworks.com/images/seth/cody/connect-blocks...

6 years ago

Solved

Add a block to a model

Produce the following signal: <<http://blogs.mathworks.com/images/seth/cody/add-block-eqn.png>> In this case, the slope of...

6 years ago