Unified Approach to the Problem of Full Decoupling via Output Feedback

Shumsky, Alexey; Zhirabok, Alexey

doi:10.3166/ejc.16.313-325

Cited by 20 publications

(22 citation statements)

References 6 publications

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“…Few studies address the DDP for discrete-time nonlinear control systems using output feedback (e.g. [15,18,20], see also [13]), whereas only [18] treats explicitly the case of static measurement feedback, which is the topic of our paper. However, in [18] necessary and sufficient conditions are given only for single-input single-output (SISO) systems.…”

Section: Introductionmentioning

confidence: 99%

“…However, in [18] necessary and sufficient conditions are given only for single-input single-output (SISO) systems. Papers [15] and [20] focus on dynamic measurement feedback. In [20] the controlled output is a vector function of the measured output, having possibly less components than the measured output itself.…”

Section: Introductionmentioning

confidence: 99%

“…Papers [15] and [20] focus on dynamic measurement feedback. In [20] the controlled output is a vector function of the measured output, having possibly less components than the measured output itself. Therefore, the above solution may be considered only as a partial solution.…”

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Disturbance decoupling of multi-input multi-output discrete-time nonlinear systems by static measurement feedback

Kaldmäe¹,

Kotta²

2012

Proc. Estonian Acad. Sci.

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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.

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Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Disturbance decoupling of multi-input multi-output discrete-time nonlinear systems by static measurement feedback

Kaldmäe¹,

Kotta²

2012

Proc. Estonian Acad. Sci.

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“…the sequence of non-decreasing vector functions 20]. There exists a finite j such that j ≇ j−1 but j+l ≅ j , for all l ≥ 1.…”

Section: Definitionmentioning

confidence: 99%

“…Recall that the (h, f )-invariant function defines a decomposition of the system (1) as shown in Fig. 1, where [20]. The function H y always exists because of × ′ ≅ .…”

Section: Definitionmentioning

confidence: 99%

Faulty Plant Reconfiguration Based on Disturbance Decoupling Methods

Kaldmäe¹,

Kotta²,

Jiang³

et al. 2015

Asian Journal of Control

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The disturbance decoupling problem by dynamic measurement feedback (DDDPM) for discrete-time nonlinear control systems is considered in this paper. The mathematical approach known under the name "the algebra of functions" is used to derive an algorithm that finds, whenever possible, a measurement feedback which solves the DDDPM. Finally, the applicability of the DDDPM in fault tolerant control (FTC) is discussed.

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