Block control of linear time invariant systems with delay

Loukianov, A.G.; Hernández, J.

doi:10.1109/cdc.2000.912808

Cited by 6 publications

(3 citation statements)

References 2 publications

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“…The case with A 0 21 ¤ 0 have been considered in [51], where a control law was designed (without using of a predictor) assuming that the internal dynamics are stable.…”

Section: Appendix A: Regular Form Representationmentioning

confidence: 99%

Robust control for uncertain linear delay systems via sliding mode control

Loukianov

Caballero-Barragán

Osuna-Ibarra

et al. 2017

Intl J Robust & Nonlinear

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Summary In this paper, a novel discontinuous control strategy for robust stabilization of a class of uncertain multivariable linear time‐delay systems with delays in both the state and control variables is proposed. Two predictors are first designed to compensate the delay effect in the control input, and then an integral sliding mode control technique is applied to compensate partially the effect of the perturbation term. Finally, a nominal delay‐free component of the full control input is designed to stabilize the sliding mode dynamics. Conditions for the stability of the closed‐loop perturbed system are then derived. The proposed framework is then extended to the class of systems modeled in regular form. Some examples illustrate the feasibility of the proposed scheme. Copyright © 2017 John Wiley & Sons, Ltd.

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“…The case with A 0 21 ¤ 0 have been considered in [51], where a control law was designed (without using of a predictor) assuming that the internal dynamics are stable.…”

Section: Appendix A: Regular Form Representationmentioning

confidence: 99%

Robust control for uncertain linear delay systems via sliding mode control

Loukianov

Caballero-Barragán

Osuna-Ibarra

et al. 2017

Intl J Robust & Nonlinear

View full text Add to dashboard Cite

show abstract

“…The design procedure of the sliding mode controller that achieves the tracking goal will be divided in two steps. First, exploiting the block control technique (Drakunov 1990, Loukianov 2000, the system (8) will be transformed into a desired form Linear systems with delays and sliding modes 943 and a sliding surface will be constructed. Then, a discontinuous control law will be designed to make this surface attractive.…”

Section: Delay and Disturbances Block Compensation: Case S1mentioning

confidence: 99%

“…In order to solve this problem the block control principle (Drakunov et al 1990) is applied. To achieve this, a special state representation, referred as the block controllable form with delay (or BCD-form), consisting of a set of blocks, will be used (Loukianov and Escoto-Hernandez 2000). Using the block control technique, a sliding manifold is designed such that the sliding mode dynamics are invariant with respect to delay and perturbations.…”

Section: Introductionmentioning

confidence: 99%