State‐feedback controller design for disturbance decoupling of Boolean control networks

Zou, Yunlei; Zhu, Jiandong; Liu, Yurong

doi:10.1049/iet-cta.2017.0714

Cited by 25 publications

(8 citation statements)

References 34 publications

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“…to achieve BN − BCN equivalence in state transition in presence of disturbances the output equation can not be utilized, on the other hand for BN − BCN equivalence in output sequence in presence of disturbances the output equation plays an important role. In [30] authors have tried to utilize the actual output equation or the H matrix, but the results obtained are inconsistent. E.g.…”

Section: Disturbance Decoupling Utilizing Output Equationmentioning

confidence: 99%

Disturbance Decoupling and Instantaneous Fault Detection in Boolean Control Networks

Sutavani,

Sonam,

Wagh

et al. 2019

Preprint

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The literature available on disturbance decoupling (DD) of Boolean control network (BCN) is built on a restrictive notion of what constitutes as disturbance decoupling. The results available on necessary and sufficient conditions are of limited applicability because of their stringent requirements. This work tries to expand the notion of DD in BCN to incorporate a larger number of systems deemed unsuitable for DD. The methods available are further restrictive in the sense that system is forced to follow trajectory unaffected by the disturbances rather than decoupling disturbances while the system follows its natural course. Some sufficient conditions are provided under which the problem can be addressed. This work tries to establish the notion of disturbance decoupling via feedback control, analogous to the classical control theory. This approach though, is not limited to DD problems and can be extended to the general control problems of BCNs. Determination of observability, which is sufficient for the fault detection, is proven to be NP-hard for Boolean Control Network. Algorithms based on reconstructability, a necessary condition, of BCN turn out to be of exponential complexity in general. In such cases it makes sense to search for the availability of some special structure in BCN that could be utilized for fault detection with minimal computational efforts. An attempt is made to address this problem by introducing instantaneous fault detection (IFD) and providing necessary and sufficient conditions for the same. Later necessary and sufficient conditions are proposed for solving the problem of instantaneous fault detection along with disturbance decoupling using a single controller.

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Section: Disturbance Decoupling Utilizing Output Equationmentioning

confidence: 99%

Disturbance Decoupling and Instantaneous Fault Detection in Boolean Control Networks

Sutavani,

Sonam,

Wagh

et al. 2019

Preprint

View full text Add to dashboard Cite

show abstract

“…Furthermore, the DDP for singular BCNs was investigated in [36]. A constructive algorithm to solve the DDP for BCNs is presented in [37] and state feedback controllers were obtained. Recently, pinning control and event‐triggered‐based controller techniques were proposed in [38, 39], respectively, to solve the DDP for BCNs.…”

Section: Introductionmentioning

confidence: 99%

Disturbance decoupling control design for Boolean control networks: a Boolean algebra approach

Sarda

Yerudkar

Vecchio

2020

IET Control Theory & Appl

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“…For example, controllability and observability, stability and stabilisation, optimal control and other issues have been the focus of research. In recent years, the successful application of semi‐tensor product (STP) has improved the relevant results [6–9].…”

Section: Introductionmentioning

confidence: 99%

Set reachability of Markovian jump Boolean networks and its applications

Zhang

Feng

Wang

2020

IET Control Theory & Appl

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State‐feedback controller design for disturbance decoupling of Boolean control networks

Cited by 25 publications

References 34 publications

Disturbance Decoupling and Instantaneous Fault Detection in Boolean Control Networks

Disturbance Decoupling and Instantaneous Fault Detection in Boolean Control Networks

Disturbance decoupling control design for Boolean control networks: a Boolean algebra approach

Set reachability of Markovian jump Boolean networks and its applications

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