Publications

@inproceedings{SutrTren21b,

title = {Observability and Determinability Characterizations for Linear Switched Systems in Discrete Time},

author = {Sutrisno and Stephan Trenn},

url = {https://stephantrenn.net/wp-content/uploads/2021/09/Preprint-ST210907.pdf, Preprint},

doi = {10.1109/CDC45484.2021.9682894},

year  = {2021},

date = {2021-09-07},

urldate = {2021-09-07},

booktitle = {Proc. 60th IEEE Conf. Decision and Control (CDC 2021)},

pages = {2474-2479},

abstract = {In this article, we study the observability and determinability for discrete-time linear switched systems. Studies for the observability for this system class are already available in literature, however, we use assume here that the switching signal is known. This leads to less conservative observability conditions (e.g. observability of each individual mode is not necessary for the overall switched system to be observable); in particular, the dependencies of observability on the switching times and the mode sequences are derived; these results are currently not available in the literature on discrete-time switched systems. In addition to observability (which is concerned with recovering the state from the initial time onwards), we also investigate the determinability which is concerned with the ability to reconstruct the state value at the end of the observation interval. We provide several simple examples to illustrate novel features not seen in the continuous time case or for unswitched systems.},

keywords = {CDC, discrete-time, observability, switched-systems},

pubstate = {published},

tppubtype = {inproceedings}

}

@inproceedings{SutrTren21a,

title = {Observability of Switched Linear Singular System in Discrete Time: Single Switch Case},

author = {Sutrisno and Stephan Trenn},

url = {https://stephantrenn.net/wp-content/uploads/2021/04/Preprint-ST210406.pdf, Preprint},

doi = {10.23919/ECC54610.2021.9654844},

year  = {2021},

date = {2021-06-29},

urldate = {2021-06-29},

booktitle = {Proc. European Control Conference (ECC21)},

pages = {267-292},

address = {Rotterdam, Netherlands},

abstract = {In this paper, we investigate the observability of singular linear switched systems in discrete time. As a preliminary study, we restrict ourselves to systems with a single switch switching signal, i.e. the system switches from one mode to another mode at a certain switching time. We provide two necessary and sufficient conditions for the observability characterization. The first condition is applied for arbitrary switching time and the second one is for switching times that are far enough from the initial time and the final time of observation. These two conditions explicitly contain the switching time variable that indicates that in general, the observability is dependent on the switching time. However, under some sufficient conditions we provide, the observability will not depend on the switching time anymore. Furthermore, the observability of systems with two-dimensional states is inde- pendent of the switching time. In addition, from the example we discussed, an observable switched system can be built from two unobservable modes and different mode sequences may produce different observability property; in particular, swapping the mode sequence may destroy observability.},

keywords = {discrete-time, observability, switched-systems},

pubstate = {published},

tppubtype = {inproceedings}

}

@inproceedings{AnhLinh19,

title = {The one-step-map for switched singular systems in discrete-time},

author = {Pham Ky Anh and Pham Thi Linh and Do Duc Thuan and Stephan Trenn},

url = {https://stephantrenn.net/wp-content/uploads/2019/03/Preprint-ALTT190910.pdf, Preprint},

doi = {10.1109/CDC40024.2019.9030154},

year  = {2019},

date = {2019-12-11},

urldate = {2019-12-11},

booktitle = {Proc. 58th IEEE Conf. Decision Control (CDC) 2019},

pages = {605-610},

address = {Nice, France},

abstract = {We study switched singular systems in discrete time and first highlight that in contrast to continuous time regularity of the corresponding matrix pairs is not sufficient to ensure a solution behavior which is causal with respect to the switching signal. With a suitable index-1 assumption for the whole switched system, we are able to define a one-step- map which can be used to provide explicit solution formulas for general switching signals.},

keywords = {CDC, discrete-time, solution-theory, switched-systems},

pubstate = {published},

tppubtype = {inproceedings}

}