State Feedback Stabilization for Boolean Control Networks

Li, Rui; Yang, Meng; Chu, Tianguang

doi:10.1109/tac.2013.2238092

Cited by 284 publications

(76 citation statements)

References 37 publications

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“…For a complete introduction to the STP and its applications in different fields, we recommend Cheng, Qi, and Li (2011a) and Cheng, Qi, and Zhao (2012). The stability and stabilization of BNs are two basic problems that have been investigated in recent years under the framework of STP (Cheng, Qi, Li et al, 2011;Fornasini & Valcher, 2013;Li, Yang, & Chu, 2013Qi et al, 2010). In some cases, interest lies in whether a system or a collection of interconnected systems converges to or can be stabilized to a subset of the state space, instead of to a single point.…”

Section: Introductionmentioning

confidence: 99%

Set stability and set stabilization of Boolean control networks based on invariant subsets

et al. 2015

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Section: Introductionmentioning

confidence: 99%

Set stability and set stabilization of Boolean control networks based on invariant subsets

et al. 2015

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“…With these gains, the poles replacement is done as: (19) It is clear that the poles on the right side of real axis in (9) have been displaced to the left side of real axis which makes the system stable. This replacement makes enhancement in the system response.…”

Section: State Feedback Controller Designmentioning

confidence: 99%

“…Moreover, if the considered system is a linear and time-invariant system, the equations can be expressed in matrix form. State feedback can arbitrarily assign the closed loop system poles at any position but has no effect on the system zeroes [19]- [20]. The rest of paper is organized as: Overview of the TLPMSM model and the equivalent circuit are given in section II.…”

Section: Introductionmentioning

confidence: 99%

Modeling and State Feedback Controller Design of Tubular Linear Permanent Magnet Synchronous Motor

Komijani¹,

Kazraji²,

Baneshi³

et al. 2016

IJPEDS

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In this paper a state feedback controller for tubular linear permanent magnet synchronous motor (TLPMSM) containing two gas springs, is presented. The proposed TLPMSM controller is used to control reciprocating motions of TLPMSM. The analytical plant model of TLPMSM is a multi-input multi-output (MIMO) system which is decoupled to some sub single-input single-output (SISO) systems, then, the sub SISO systems are converted to sub-state space models. Indeed, the TLPMSM state space model is decoupled to some sub-state spaces, and then, the gains of state feedback are calculated by linear quadratic regulation (LQR) method for each sub-state space separately. The controller decreases the distortions of the waveforms. The simulation results indicate the validity of the controller. Keyword:Multi input multi output system Single input single output State feedback controller system Tubular linear permanent magnet synchronous motor

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“…Then, as an application of canalising Boolean mapping, the required control has been designed. Some other new results and applications of STP can be found in [15][16][17][18][19].…”

Section: Introductionmentioning

confidence: 98%

Topological structure and the disturbance decoupling problem of singular Boolean networks

Meng

Feng

2014

IET Control Theory & Applications

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The general singular Boolean networks are proposed in this study, motivated by the algebraic form of dynamicalgebraic Boolean networks via the semi-tensor product of matrices. First, one of the most important problems for this kind of networks, solvability problem, is discussed. Then, in order to calculate the fixed points and cycles, the transition matrix of a singular Boolean network is defined, which contains all the state transferring information. At last, the general singular Boolean control networks are considered with their solvability and the disturbance decoupling problem is presented and solved by a constant control. Illustrative examples are given to show the feasibility of the results.

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State Feedback Stabilization for Boolean Control Networks

Cited by 284 publications

References 37 publications

Set stability and set stabilization of Boolean control networks based on invariant subsets

Set stability and set stabilization of Boolean control networks based on invariant subsets

Modeling and State Feedback Controller Design of Tubular Linear Permanent Magnet Synchronous Motor

Topological structure and the disturbance decoupling problem of singular Boolean networks

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