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The sliding phase may be associated with lodging.
Global sliding phase is proved as well as the closed-loop system stability.
The robustness of the sliding mode control lies in sliding phase and reaching phase is sensitive to noise.
In winter the critical water pressure level was never crossed, and icequakes occurred throughout the cycle (even during the sliding phase), but were most frequent during glacier reconnection with the bed.
A sliding surface which guarantees stable sliding mode motion during the sliding phase is synthesized in an optimal manner.
The proposed control law, avoids the singularity possibility, and offers the faster convergence speed in the reaching phase and in the sliding phase.
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We treat the sliding mode control problem by formulating it as a two phase problem consisting of reaching and sliding phases.
However, due to unclear inducing mechanism, it is difficult to divide its sliding phases and potential sliding areas.
Moreover, some parameters-dependent sufficient conditions are derived such that the input output finite-time stability (IO-FTS) during both reaching phase and sliding motion phase are attained.
The proposed control scheme contains three elements, a TDE element adopted to suitably cancel out the unknown lumped dynamics with purposely time-delayed signals of the closed-loop control system, a newly proposed FONTSM manifold adopted to realize finite-time convergence in the sliding mode phase and a fast-TSM-type reaching law adopted to ensure finite-time convergence in the reaching phase.
Fig. 3 Sketch of slide phase.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com