Title | ||
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Partial interconnection and observer-based dead-beat control of two-dimensional behaviors |
Abstract | ||
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In this paper the dead-beat control problem, by partial interconnection, of two-dimensional (2D) discrete behaviors, defined on the grid $$\mathbb{Z }_+\times \mathbb{Z }$$ Z + Z and having the time as (first) independent variable, is investigated. The possibility of driving to zero (in a finite number of "steps") either all or part of the system variables, by means of a partial interconnection controller, proves to be equivalent to the reconstructibility of the variables that are not accessible for control. On the other hand, if we search for "admissible" dead-beat controllers, the only ones providing meaningful results in practice, we have to introduce the zero-time-controllability assumption. These two properties are just the necessary and sufficient conditions for the existence of an observer-based (admissible) dead-beat controller, which consists of a dead-beat observer, to estimate the relevant variables from the measured ones, and of a full interconnection dead-beat controller, acting on both the measured and the estimated variables. |
Year | DOI | Venue |
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2015 | 10.1007/s11045-013-0252-5 | Multidimensional Systems and Signal Processing |
Keywords | Field | DocType |
2D behavior,Nilpotent autonomous behavior,Reconstructibility,Zero-time-controllability,Dead-beat observer/controller,Full/partial interconnection,Observer-based dead-beat controller | Discrete mathematics,Signal processing,Control theory,Finite set,Dead-beat control,Variables,Observer (quantum physics),Interconnection,Mathematics,Grid | Journal |
Volume | Issue | ISSN |
26 | 2 | 0923-6082 |
Citations | PageRank | References |
0 | 0.34 | 13 |
Authors | ||
2 |
Name | Order | Citations | PageRank |
---|---|---|---|
Mauro Bisiacco | 1 | 90 | 11.46 |
Maria Elena Valcher | 2 | 493 | 39.11 |