Sliding-mode control for singularly perturbed systems

Heck, B.S.

doi:10.1080/00207179108953660

Cited by 66 publications

(30 citation statements)

References 4 publications

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“…These four control areas * * * * 1 2 3 4 , , , U U U U are transformed to the three-phase stator-winding-fixed frame (a, b, c) by using (15). They have the same form in this frame, but move with the stator-flux velocity (Fig.…”

Section: Design Of the Sliding Mode Control For 3l-vsimentioning

confidence: 99%

“…In this case the system (14) is the singularly perturbed systems, and for the design of the sliding motion on the manifold (6), (13) can be used a technique based on the system decomposition on the slow and fast subsystems [15]. Because of the discontinuous nature of the slow controller, the time-scale separation argument does not hold during switching.…”

Section: B Sliding Mode Design By Using Two-phase Controlmentioning

confidence: 99%

“…There are two ways. The first way is to use the inverse transformation (15). However, the needed three-phase voltage would be sine wave.…”

Section: Design Of the Sliding Mode Control For 3l-vsimentioning

confidence: 99%

See 2 more Smart Citations

Sliding-mode approach to control design for induction motor drive fed by a three-level voltage-source inverter

Ryvkin

Schmidt-Obermoeller

Steimel

2008

2008 13th International Power Electronics and Motion Control Conference

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A novel sliding mode control for the induction motor (IM) fed by three-level voltage-source inverter (3L-VSI) is proposed in this paper. The "classical" results of sliding-mode theory were extended on the actual variable structure system with more then 2 m variable structures (m is the control space order) by using an original two-step design procedure that allows separately to use the nonlinearity of the IM and the switching character of the 3LVSI. The based on this design procedure original control algorithm that includes a choice condition for 3L-VSI input dc link voltage and a switch table for the 3L-VSI semiconductor switches is designed. The main advantages of such approach are given as follows: the control design is simpler and more graphical; the control system has such advantageous characteristics of the control plant with sliding mode control as high dynamic, low sensitivity to disturbance of both the load and the to plant parameter variations; the requirements to the quality of the input dc-link voltage and as a result to the dc-line filter capacitor are reduced; the measurement precision of the stator flux position is within ( 6) . Simulation results are presented to validate the theoretical analysis and demonstrate the performance of the proposed control.

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Section: Design Of the Sliding Mode Control For 3l-vsimentioning

confidence: 99%

Section: B Sliding Mode Design By Using Two-phase Controlmentioning

confidence: 99%

See 1 more Smart Citation

Sliding-mode approach to control design for induction motor drive fed by a three-level voltage-source inverter

Ryvkin

Schmidt-Obermoeller

Steimel

2008

2008 13th International Power Electronics and Motion Control Conference

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“…It is obvious (see for example Heck 1991), that u eq …'…0; ¼; x; · u u eq …¼; x † †; ¼; x †ˆ· u u eq …¼; x † For the description of periodic solution in the reduced system consider two auxiliary systems. The system…”

Section: Problem Statementmentioning

confidence: 99%

“…Some control algorithms for SPRS was suggested by Heck (1991), Su (1999) and Innocenti et al (2000).…”

Section: Introductionmentioning

confidence: 99%

Slow periodic motions with internal sliding modes in variable structure systems

Fridman

2002

International Journal of Control

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Singularly perturbed relay systems (SPRS) in which the reduced systems have the stable periodic motions with internal sliding modes are studied. The slow motion integral manifold of such systems consists of the parts which correspond to the di erent values of relay control and the solutions may contain the jumps from one part of the slow manifold to another. For such systems a theorem about existence and stability of the periodic solutions is proved. An algorithm of asymptotic representation for this periodic solutions using boundary layer method is presented. It is proved that in the neighbourhood of the break away point the asymptotic representation starts with the ®rst order boundary layer function.

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Sliding Mode Control for Systems with Fast Actuators: Singularly Perturbed Approach

Fridman

Variable Structure Systems: Towards the 21st Century

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Sliding-mode control for singularly perturbed systems

Cited by 66 publications

References 4 publications

Sliding-mode approach to control design for induction motor drive fed by a three-level voltage-source inverter

Sliding-mode approach to control design for induction motor drive fed by a three-level voltage-source inverter

Slow periodic motions with internal sliding modes in variable structure systems

Sliding Mode Control for Systems with Fast Actuators: Singularly Perturbed Approach

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