Joined: June 18, 2008
Posts: 1
Location: Iran,Kermanshah
Status: Offline
Posted:
June 18, 2008 - 06:20 PM
Post subject: Typical State Space Model
Hello
I need a Typical State Space of a Model for my "Muntivariable Control Systems" Course.
I need a 4,5,...or more State Variable System (A,B,C,D Matrices)
I have searched before but I couldn't find a appropriate model that satisfy my need usually they had less than 4 state variable or they didn't describe or acquire the basic state space form (x=Ax+Bu,..)....
I will use this model for my project of this course.
I just do some relevant Matlab Analysis on the model like controllability matix and obsrv ,... and some state feedback compensation or finding observer or analyzing stability ,....
Thank.
slicegan2
ICE Newbee
Joined: Aug 24, 2010
Posts: 8
Status: Offline
Posted:
Aug 24, 2010 - 06:38 AM
Depending on the time characteristics of the system. If we only consider continuous-time systems, we can replace the funny block in the center with an integrator:
[edit]In the Laplace Domain The state space model of the above system, if A, B, C, and D are transfer functions A(s), B(s), C(s) and D(s) of the individual subsystems, and if U(s) and Y(s) represent a single input and output, can be written as follows:
We will explain how we got this result, and how we deal with feedforward and feedback loop structures in the next chapter. [edit]Adders and Multipliers
Some systems may have dedicated summation or multiplication devices, that automatically add or multiply the transfer functions of multiple systems together [edit]Simplifying Block Diagrams
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