In this project, you'll use several robot datasets for estimation and you will implement a Kalman Filter (KF) for state estimation. Consider the vehicle depicted in Fig. 1 with m = 0.5, k = 3.5, b = 2. The position s and velocity v represent the state æ of the system and the input ƒ (t) is the force often denoted with u. k www b m Figure 1: Robot cart 0 s(t) f(t) 1. Write the system in state space form and consider additive Gaussian white noise to the model ʼn ~ N (0, Q). Discretize the system state space form using Euler approach (30 points).

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
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In this project, you'll use several robot datasets for estimation and you will implement a Kalman Filter (KF)
for state estimation. Consider the vehicle depicted in Fig. 1 with m = 0.5, k = 3.5, b = 2. The position s
and velocity v represent the state x of the system and the input ƒ (t) is the force often denoted with u.
F
b
m
Figure 1: Robot cart
0
s(t)
f(t)
1. Write the system in state space form and consider additive Gaussian white noise to the model n
N (0, Q). Discretize the system state space form using Euler approach (30 points).
Transcribed Image Text:1 Overview In this project, you'll use several robot datasets for estimation and you will implement a Kalman Filter (KF) for state estimation. Consider the vehicle depicted in Fig. 1 with m = 0.5, k = 3.5, b = 2. The position s and velocity v represent the state x of the system and the input ƒ (t) is the force often denoted with u. F b m Figure 1: Robot cart 0 s(t) f(t) 1. Write the system in state space form and consider additive Gaussian white noise to the model n N (0, Q). Discretize the system state space form using Euler approach (30 points).
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