Functional observers design for two interconnected linear systems via LMI

Ali, Harouna Souley; Darouach, Mohamed; Delattre, Cédric; Becis-Aubry, Yasmina

doi:10.3182/20110828-6-it-1002.03664

Cited by 5 publications

(4 citation statements)

References 11 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…For the low-level subsystem depicted in (1), the expression of its inverse dynamics can be realized as from (8):…”

Section: On Computation Of the Dynamics Inverse Of The Interconnected...mentioning

confidence: 99%

“…Inverse dynamics (7), together with inverse dynamics (8), constitutes the inverse of the studied interconnected system. It can be seen that the basis of the proposed calculation of the inverse of the interconnected dynamic system is the existence of left invertibility of the original interconnected cascade system.…”

Section: On Computation Of the Dynamics Inverse Of The Interconnected...mentioning

confidence: 99%

“…The concerning problems of interconnected systems are of great importance from a theoretical and practical viewpoint and have been studied extensively. The published research results involve the problems of stability, observability, controllability, and invertibility of interconnected systems; for example, in [4][5][6][7][8]. As shown in [8], the study provided a method to distinguish several dynamic subsystems, and it proved that there are usually delays during information transmission.…”

Section: Introduction Of Interconnected Systemmentioning

confidence: 99%

“…The published research results involve the problems of stability, observability, controllability, and invertibility of interconnected systems; for example, in [4][5][6][7][8]. As shown in [8], the study provided a method to distinguish several dynamic subsystems, and it proved that there are usually delays during information transmission. This will lead to the instability and oscillation of these systems.…”

Section: Introduction Of Interconnected Systemmentioning

confidence: 99%

See 3 more Smart Citations

On Invertibility of an Interconnected System Composed of Two Dynamic Subsystems

Zhang

Dahhou

2021

Applied Sciences

View full text Add to dashboard Cite

In this paper, the invertibility of an interconnected system that consists of two dynamic subsystems was studied. It can be viewed as the distinguishability of the impacts of local input on the final global output, that is to say, whether the input at the local level can be recovered uniquely under a given output at the global level and initial state. The interconnected system constitutes two dynamic subsystems connected in a cascade manner. In order to guarantee the invertibility of the studied system, a necessary and sufficient condition was established. On the condition that both individual subsystems are invertible, the invertibility of the global system can be guaranteed. In order to recover the local input which generates a given global output, an algorithm was proposed for the studied interconnected system. Numerical examples were considered to confirm the effectiveness and robustness of the proposed algorithm.

show abstract

“…For the low-level subsystem depicted in (1), the expression of its inverse dynamics can be realized as from (8):…”

Section: On Computation Of the Dynamics Inverse Of The Interconnected...mentioning

confidence: 99%

Section: On Computation Of the Dynamics Inverse Of The Interconnected...mentioning

confidence: 99%