Name
Title | ||
|---|---|---|
Characterising discrete-time linear systems with the “mixed” positive real and bounded real property |
Abstract | ||
|---|---|---|
In this paper, we present characterisations of linear, shift-invariant, discrete-time systems that exhibit mixtures of small gain-type properties and positive real-type behaviours in a certain manner. These “mixed” systems are already fairly well characterised in the continuous-time domain, but the widespread adoption of digital controllers makes it necessary to verify whether commonly used discretisation procedures preserve the characteristic of “mixedness”. First, we analyse the effects of classical discretisation methods on the “mixed” property using Nyquist methods. A frequency domain feedback stability result is then presented. Finally, we develop a spectral-based characterisation of “mixed” discrete-time systems which provides a practical computational test that can also be applied to the MIMO case. Several examples validate the developed theory. |
Year | DOI | Venue |
|---|---|---|
2014 | 10.1016/j.ejcon.2014.07.002 | European Journal of Control |
Keywords | Field | DocType |
Linear system,Discrete-time system,Finite frequency positive realness,Finite frequency bounded realness,Stability | Frequency domain,Discretization,Linear system,Discrete time system,Control theory,Discrete time nonlinear systems,MIMO,Control engineering,Nyquist–Shannon sampling theorem,Mathematics,Bounded function | Journal |
Volume | Issue | ISSN |
20 | 5 | 0947-3580 |
Citations | PageRank | References |
1 | 0.37 | 24 |
Authors | ||
6 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Matheus Souza | 1 | 77 | 10.08 |
| Wynita M. Griggs | 2 | 81 | 13.39 |
| Rodrigo H. Ordonez-Hurtado | 3 | 8 | 4.63 |
| S. Sajja | 4 | 18 | 3.83 |
| Alexander Lanzon | 5 | 560 | 62.09 |
| Robert Shorten | 6 | 293 | 60.79 |