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State_space_Obsevability_Controlability2

For 4 questions AUD$60

Q1,Q4, and Q5 is atachmnet

Q2

Examine the state space model of the inverted pendulum write

MATLAB code to

(1) Design a state observer such that the poles of the observer are -1,-1.5,-2,-2.5.

(2) Design state feedback control law u=-Kx such that the poles of the closed-loop system are

-2, -3, -4, -6 (as in Assignment 1 Question 1). Describe the state-space model of the

closed-loop system including the observer and feedback control.

(3) Simulate the state trajectory of the closed-loop for any given initial states.

Refence question

Examine the state space model of the inverted pendulum in Part 2 of Week 1 Tutorial exercises

([login to view URL]

deling), and answer the following questions:

(1) Check the stability and the controllability of the system;

(2) Design state feedback control law u=-Kx such that the poles of the closed-loop system are

-2, -3, -4, -6. Show the state trajectory and output trajectory in MATLAB for a given

initial state.

See Q1, Q4, Q5 in attached file

Skills: Engineering, Matlab and Mathematica, Algorithm, Electrical Engineering, Mathematics

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