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Pole Placement and Full-State Feedback Control, Exams of Nursing

The concept of full-state feedback control, where all the states of a system are fed back and compared to the input. It covers the requirements for the c and d matrices in the output equation, the control law used for pole placement with full-state feedback, and the relationship between the closed-loop a matrix and the plant a and b matrices. The document also covers the conditions for using full-state feedback techniques like pole placement, the process of adjusting the gains in the k matrix to select desired eigenvalues, and the required assumptions for this approach. Additionally, it provides specific examples of the sizes of the c and d matrices for a system with 2 states, 1 input, and a full feedback loop. This document could be useful for students studying control systems, particularly those interested in state-space control methods and pole placement techniques.

Typology: Exams

2023/2024

Available from 10/05/2024

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Download Pole Placement and Full-State Feedback Control and more Exams Nursing in PDF only on Docsity! MAE 488 Quiz 10 Full state feedback is the configuration where all the states are fed back and compared to the input. If full-state feedback is to be used, what must the C matrix and D matrix in the output equation be? C=? D=? - correct answer ✔✔identity, zero Pole placement allows you to place the PLANT poles where you want them - correct answer ✔✔false Pole placement is a method for designing a controller - correct answer ✔✔true What is the control law used for pole placement with full state feedback u(t)=? - correct answer ✔✔-Kz(t) +r(t) suppose we want to change the damping ratio and the natural frequency of a system using a controller. How many parameters must the controller have, in general, to independently select them - correct answer ✔✔2 The eigenvalues of the A matrix are the zeros of the transfer function - correct answer ✔✔false The root locus plot is a method for designing a controller - correct answer ✔✔true The closed loop A matrix for a system using pole placement and full state feedback is given by A^=A-BK where A is the plant A matrix, B is the plant B matrix, and K is a matrix of gains. - correct answer ✔✔true If a system has 5 states and 2 inputs what size is the matrix of gains, K, for the closed loop A matrix of a system using pole placement and full state feedback - correct answer ✔✔2x5