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Mapping Discrete-time Models for Descriptor-systems with Consistent Initial Conditions
| Content Provider | Semantic Scholar |
|---|---|
| Author | Kawai, Shin Hori, Noriyuki |
| Copyright Year | 2016 |
| Abstract | Discretization of a regular continuous-time descriptor-system, whose initial condition is consistent with its input, is considered using a general mapping method presented in our previous paper. The proposed mapping discrete-time model is shown to be a proper discretization under the definition explained in the paper. This assures that the response of the mapping model approaches that of the continuous-time descriptor system as the sampling period approaches zero. The consistency of initial conditions for the discrete-time model is also studied and the long-standing issue of ambiguities surrounding irregularities of discrete-time responses at the initial time are clarified with a simple solution. A proper range of design parameters are investigated and their suitable choices suggested. To illustrate the use of the proposed method, a simple circuit that cannot be expressed in the ordinary state-space form is considered. Its responses to a sinusoidal input when started from the consistent and inconsistent i... |
| Starting Page | 59 |
| Ending Page | 77 |
| Page Count | 19 |
| File Format | PDF HTM / HTML |
| DOI | 10.1139/tcsme-2016-0005 |
| Alternate Webpage(s) | http://www.tcsme.org/Papers/Vol40/Vol40No1Paper5.pdf |
| Alternate Webpage(s) | https://doi.org/10.1139/tcsme-2016-0005 |
| Volume Number | 40 |
| Language | English |
| Access Restriction | Open |
| Content Type | Text |
| Resource Type | Article |
