Rule-Based Selection of Nonlinear Observer Design Methods

Birk, J.; Schaffner, Johanna; Zeitz, Μ.

doi:10.1016/b978-0-08-041901-5.50043-9

Cited by 2 publications

(2 citation statements)

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“…The design of state observers for nonlinear systems is often di cult because of the strong requirements of most nonlinear observer design methods (see for example Birk et al (1993)) . However, for systems with multiple outputs a decentral approach, that is a design by subsystems, is possible.…”

Section: Introductionmentioning

confidence: 99%

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Decentral nonlinear observer design using a block-triangular form

Schaffner¹,

Zeitz²

1999

International Journal of Systems Science

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The observer design for nonlinear multiple-output systems is shown to be considerably simpli® ed in a decentral approach. The method requires a block-triangular system representation which either can be detected in the system di erential equations or may be obtained by a state transformation. The transformation is investigated in detail, and necessary and su cient conditions for its existence are discussed. Moreover, the method is illustrated by the ball-and-beam example.

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Section: Introductionmentioning

confidence: 99%

“…Depending on the structure of the equations in Sĩ , any applicable observer design method may be chosen. For a survey of methods see for example Birk et al (1993) . As soon as Given this convergence, the next subsystem observerŜĩ ‡ 1 may be designed.…”

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confidence: 99%

Decentral nonlinear observer design using a block-triangular form

Schaffner¹,

Zeitz²

1999

International Journal of Systems Science

Self Cite

View full text Add to dashboard Cite

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On complexity reduction of the discrete-event subsystem of Flat Hybrid Automata for control design

Kleinert

Zahn

Hagenmeyer

2020

At - Automatisierungstechnik

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The class of hybrid systems describes most technical systems in great detail. However, the respective models and their behavior tend to be very complex. Recently, a new subclass of hybrid automata has been introduced, the Flat Hybrid Automata (FHA) that relies on the concepts of differential flatness for the continuous parts, and strongly connected automaton graphs for the discrete event part, in order to deal with the complexity from a design perspective. Therefore, we introduce in the present paper an approach to reduce the automaton graph of an FHA in a systematic way by removing edges from the adjacency matrix. The main contribution of the paper is twofold: Firstly, based on practical considerations we develop a heuristic algorithm to reduce the automaton graph. Secondly, we present possible ways to include knowledge about the system in the reduction.

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Rule-Based Selection of Nonlinear Observer Design Methods

Cited by 2 publications

References 10 publications

Decentral nonlinear observer design using a block-triangular form

Decentral nonlinear observer design using a block-triangular form

On complexity reduction of the discrete-event subsystem of Flat Hybrid Automata for control design

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