PSC 6 Questions - Module Covenor: Guang Li PDF

Preview

Summary

Module Covenor:
Guang Li...

Description

Problem Sheet 6 DEN5200 Control Systems Analysis and Design

1. Find the transfer function of the following systems in state space form. Also write down the controller canonical and observer canonical realisations of the systems. { x˙ = 2x + 3u (a) y = 3x ) ) (  ( 1 1 3   u x +  x˙ = −1 2 4 (b)   ( )  y = 3 −2 x      1 3 0 1      x˙ =  2 4 0  x +  −1  u 0 0 1 1 (c)     ( )  y = 3 −2 1 x 2. Consider the linear control system

) ) (  ( 1 1 2   u x + x ˙ =  −1 −6 −6   ( )  y = 3 −2 x

For this system, determine: (a) the step response, (b) the impulse response,

(c) the steady state response to the input function u(t) = 4 cos(2t + 3).

1...