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State Space Modeling
| Content Provider | Scilit |
|---|---|
| Author | Corinthios, Michael |
| Copyright Year | 2018 |
| Description | FIGURE 8.1 First canonical form realization. Dividing both sides by αn and letting ai = αi/αn and bi = βi/αn we have dny dtn + an−1 dn−1y dtn−1 + . . .+ a0y = bn dnu dtn + bn−1 dn−1u dtn + . . .+ b0u. (8.7) Laplace transforming both sides assuming zero initial conditions( sn + an−1sn−1 + . . .+ a0 ) Y (s) = ( bns n + bn−1sn−1 + . . .+ b0 ) U (s) . (8.8) The system transfer function is given by H (s) = Y (s) = bns n + bn−1sn−1 + . . .+ b0 . (8.9) sn Y (s) = − an−1Y (s) s − an−2Y (s) s2 − . . .− a0Y (s) sn + bnU (s) + bn−1 U (s) s + . . .+ b0 U (s) sn = bnU (s) + {bn−1U (s)− an−1Y (s)} (1/s)+ {bn−2U (s) − an−2Y (s)} (1/s2) + . . .+ {b0U (s)− a0Y (s)} (1/sn). Book Name: Signals, Systems, Transforms, and Digital Signal Processing with MATLAB |
| Related Links | https://content.taylorfrancis.com/books/download?dac=C2009-0-07491-7&isbn=9781315218533&doi=10.1201/9781315218533-12&format=pdf |
| Ending Page | 571 |
| Page Count | 60 |
| Starting Page | 512 |
| DOI | 10.1201/9781315218533-12 |
| Language | English |
| Publisher | Informa UK Limited |
| Publisher Date | 2018-09-03 |
| Access Restriction | Open |
| Subject Keyword | Book Name: Signals, Systems, Transforms, and Digital Signal Processing with Matlab Modeling Function |
| Content Type | Text |
| Resource Type | Chapter |