Discrete time sliding mode control with minimal quasi sliding mode band

Chakrabarty, Sohom; Bandyopadhyay, B.

doi:10.1109/vss.2012.6163536

Cited by 13 publications

(25 citation statements)

References 6 publications

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“…The idea of MROF is to use (9) in the control law using state feedback to make it a control law based on output feedback. However, we see that in (9), we have the disturbance term f (k − 1) included.…”

Section: Fast Output Samplingmentioning

confidence: 99%

Minimum Ultimate Band Design of Discrete Sliding Mode Control

Chakrabarty¹,

Bandyopadhyay²

2014

Asian Journal of Control

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The paper presents a generalized understanding on the dynamics of the sliding variable for discrete time sliding mode control systems via a fresh approach involving several bands in the space of the sliding variable. Using this analysis, controller parameters can be obtained once the ultimate band is chosen. It is shown that on choosing the least ultimate band, the control becomes non-switching and Gao's reaching law becomes identical to Utkin's reaching law. On other occasions, the ultimate band obtained using this approach is clearly less than that obtained in previous works using Gao's reaching law. The analysis is presented for both state feedback and multirate output feedback cases.

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Section: Fast Output Samplingmentioning

confidence: 99%

Minimum Ultimate Band Design of Discrete Sliding Mode Control

Chakrabarty¹,

Bandyopadhyay²

2014

Asian Journal of Control

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“…If the solution set lies outside his operable range of controller parameters, then he may wish to change his band value to some larger one in order to accommodate for his controller limitations. In [7], an approach is presented by which given a desired band value, the control engineer may obtain the solution set of the controller parameters.…”

Section: Introductionmentioning

confidence: 99%

“…State feedback using Gao's reaching law [2] has been used to develop the theory in [7]. However, in practice, all the states of a plant are not always available for measurement.…”

Section: Introductionmentioning

confidence: 99%

“…They have been proved to be effective in obtaining closed loop stability, with an increase in the quasi sliding mode band (QSMB), which is a payoff due to the use of only the available output and not all the state information. In this paper, we shall use the approach as in [7] to obtain a solution set of controller parameters given the desired ultimate band value, when MROF technique is used for sliding mode control. For this purpose, we shall briefly discuss the approach used in [7], and then see how it can be extended for the case of MROF technique.…”

Section: Introductionmentioning

confidence: 99%

“…In this paper, we shall use the approach as in [7] to obtain a solution set of controller parameters given the desired ultimate band value, when MROF technique is used for sliding mode control. For this purpose, we shall briefly discuss the approach used in [7], and then see how it can be extended for the case of MROF technique.…”

Section: Introductionmentioning

confidence: 99%

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Minimal quasi sliding mode band with multirate output feedback

Chakrabarty

Bandyopadhyay

2012

2012 7th International Conference on Electrical and Computer Engineering

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A new approach is presented to analyze sliding mode control in discrete-time systems using an established reaching law, whereby the ultimate band is obtained to be lesser than any previous analysis done with the same reaching law. Multirate Output Feedback technique of fast output sampling is used to calculate the control action. The controller parameters are evaluated according to the ultimate band that is desired, giving rise to a negative switching gain, contradicting popular notion of non-negative switching gains used in sliding mode control.Index Terms-band approach, minimum ultimate band, multirate output feedback, fast output sampling, quasi-sliding mode, negative switching gain.

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