Integral Higher Order Sliding Mode and singular optimal stabilization

Fridman, Leonid; Jimenez-Lizarraga, Manuel; Ibarra, Efraín

doi:10.23919/ecc.2013.6669795

Cited by 2 publications

(1 citation statement)

References 10 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…In this case, the relative degree is 3, and a third order Sliding Mode (SM) control is needed to maintain the system in the origin. Clearly the variables playing in the cost function directly relate with the order of sliding mode .…”

Section: Illustration Of the Problem The Connection Of The Cost Matrmentioning

confidence: 99%

Robust singular optimization for linear time varying systems by integral high‐order sliding mode

Jimenez-Lizarraga

Ibarra

2016

Optim Control Appl Methods

View full text Add to dashboard Cite

Summary This paper presents an approach to solve a singular quadratic optimization problem for linear time varying systems based on the so‐called integral high‐order sliding mode control. The plant which is time varying is affected for some bounded disturbances, and the criterion to minimize is degenerated, in the sense that the weighting matrix can possess any rank. It is shown the natural connection between the order of singularity of the time varying quadratic criterion, which is connected to the rank of the cost matrix and the order of the sliding mode. An integral high‐order sliding mode is proposed to control the behavior of the transit phase before arriving toward the corresponding higher order singular time varying optimal manifold in prescribed time. The transformation to the phase‐variable form for the Linear Time Variant Systems (LTVS) becomes the key step to solve the problem, and the proposed solution provides the insensitivity of trajectory w.r.t. matched bounded uncertainties. Such a design is applied to a probe landing problem to illustrate the effectiveness of the proposed approach. Copyright © 2016 John Wiley & Sons, Ltd.

show abstract

Section: Illustration Of the Problem The Connection Of The Cost Matrmentioning

confidence: 99%