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Your search keyword '"Kotta, Ulle"' showing total 4 results
Start Over Author "Kotta, Ulle" Topic discrete-time systems
4 results on '"Kotta, Ulle"'

1. Forward and Backward Shifts of Vector Fields: Towards the Dual Algebraic Framework.

Author

Mullari, Tanel, Kotta, Ulle, Bartosiewicz, Zbigniew, Pawluszewicz, Ewa, and Moog, Claude H.

Subjects
*FORWARD-backward algorithm, *NONLINEAR control theory, *VECTOR fields, *FEEDBACK control systems, *DISCRETE-time systems
Abstract

An algebraic framework for discrete-time nonlinear control systems is introduced, based on the forward and backward shifts of the vector fields. It appears to be the dual of the framework based on the differential 1-forms. As applications, the characterization of accessibility and the solution to the static state feedback linearization problem are stated in terms of the given vector fields. [ABSTRACT FROM AUTHOR]

Published
2017
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2. On Integrability of Observable Space for Discrete-Time Polynomial Control Systems.

Author

Kawano, Yu and Kotta, Ulle

Subjects
*DISCRETE-time systems, *NONLINEAR systems, *CONTINUOUS time systems, *MATHEMATICAL models of time-varying systems, *REVERSIBLE computing
Abstract

The goal of the technical note is to extend the results on the observability decomposition of continuous-time nonlinear systems into the discrete-time polynomial systems. In general, the observable space related to the concept of single-experiment observability of the discrete-time nonlinear systems cannot always be locally spanned by exact one-forms whose integrals would define the observable state coordinates. In this technical note, we show that for the special subclass of reversible polynomial systems, the observable space is integrable like in the continuous-time case. [ABSTRACT FROM AUTHOR]

Published
2015
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3. Disturbance decoupling of multi-input multi-output discrete-time nonlinear systems by static measurement feedback.

Author

Kaldm¨ae¤, Arvo and Kotta, ¨Ulle

Subjects
*MATHEMATICAL decoupling, *NONLINEAR systems, *CONTINUOUS time systems, *DISCRETE-time systems, *PROBLEM solving, *AUTOMATIC control systems
Abstract

This paper addresses the disturbance decoupling problem (DDP) for nonlinear systems, extending the results for continuous-time systems into the discrete-time case. Sufficient conditions are given for the solvability of the problem. The notion of the rank of a one-form is used to find the static measurement feedback that solves the DDP whenever possible. Moreover, necessary and sufficient conditions are given for single-input single-output systems, as well as for multi-input multi-output systems under the additional assumption [ABSTRACT FROM AUTHOR]

Published
2012
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4. A note on the relationship between single- and multi-experiment observability for discrete-time nonlinear control systems.

Author

Kaparin, Vadim, Kotta, Ulle, Shumsky, Alexey Ye., and Zhirabok, Alexey N.

Subjects
*NONLINEAR systems, *NONLINEAR control theory, *DISCRETE-time systems, *MATHEMATICAL forms, *MATHEMATICAL functions, *ALGEBRA, *OBSERVABILITY (Control theory), *MATHEMATICAL analysis, *NUMERICAL analysis
Abstract

The connection between the concepts of the single-experiment and the multi-experiment unobservability of a nonlinear discrete-time control system is studied. The main result claims that if the system is single-experiment unobservable and the observable space is integrable, then the system is also multi-experiment unobservable. For the proof of the main result a novel mathematical technique, the so-called algebra of functions, is used. [ABSTRACT FROM AUTHOR]

Published
2011
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