Question
[3] A single-input, single-output system described by dx dt = is controllable and observable. PID (Proportional plus Integral plus Derivative) control is to be
[3] A single-input, single-output system described by dx dt = is controllable and observable. PID (Proportional plus Integral plus Derivative) control is to be applied to this system. For this purpose, y is integrated in the controller. The output of the integrator is denoted by x,. We know x, exactly since it is a part of the controller. Notice that the original system and the integrator in the controller may be expressed by the following state and output equations. Ax + Bu, y = Cx d x1 1 0 XI [0 Cx Discuss the controllability and observability of this enlarged system. Note that the transfer function of the original system is C(sI A) B and the transfer function of the integrator is 1/s. CXI X1 #N-DI-BH M-C CH = dt x 0 A X = +
Step by Step Solution
There are 3 Steps involved in it
Step: 1
Get Instant Access to Expert-Tailored Solutions
See step-by-step solutions with expert insights and AI powered tools for academic success
Step: 2
Step: 3
Ace Your Homework with AI
Get the answers you need in no time with our AI-driven, step-by-step assistance
Get StartedRecommended Textbook for
Applied Regression Analysis And Other Multivariable Methods
Authors: David G. Kleinbaum, Lawrence L. Kupper, Azhar Nizam, Eli S. Rosenberg
5th Edition
1285051084, 978-1285963754, 128596375X, 978-1285051086
Students also viewed these Mechanical Engineering questions
Question
Answered: 1 week ago
Question
Answered: 1 week ago
Question
Answered: 1 week ago
Question
Answered: 1 week ago
Question
Answered: 1 week ago
Question
Answered: 1 week ago
Question
Answered: 1 week ago
Question
Answered: 1 week ago
Question
Answered: 1 week ago
Question
Answered: 1 week ago
Question
Answered: 1 week ago
Question
Answered: 1 week ago
Question
Answered: 1 week ago
Question
Answered: 1 week ago
Question
Answered: 1 week ago
Question
Answered: 1 week ago
Question
Answered: 1 week ago
Question
Answered: 1 week ago
Question
Answered: 1 week ago
Question
Answered: 1 week ago
Question
Answered: 1 week ago
Question
Answered: 1 week ago
View Answer in SolutionInn App