An approach to perturbation compensation for variable structure systems

Chan, Siu Lai

doi:10.1016/0005-1098(95)00161-1

Cited by 30 publications

(10 citation statements)

References 13 publications

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“…The control component denoted u comp ðtÞ is designed to overcome the structured parameter uncertainties ÁA i ðtÞ, i ¼ 0; 1; 2; irrespective of the external disturbance Áf ðtÞ (Chan 1996). In other words, u comp ðtÞ is designed to force T ðx; tÞ _ ðx; tÞ 0 when Áf ðtÞ ¼ 0.…”

Section: Control Design and Stability Analysis To Sliding Manifoldmentioning

confidence: 99%

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Robust sliding mode control of uncertain time delay systems

DeCarlo

2003

International Journal of Control

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A robust sliding mode control design methodology is presented in this paper for a class of uncertain time delay systems. The systems are assumed to have structured, unmatched and time-varying parameter uncertainties as well as matched and bounded external disturbances. Delay-independent sufficient conditions for the design of a stable sliding manifold are given first in terms of an ARE and then via the Schur complement as linear matrix inequalities (LMIs). A controller guaranteeing convergence of the state trajectory to the sliding manifold is then developed and then generalized to account for uncertainties in the delay. A technique for the adaptation of controller gains is also presented. A Lyapunov method underlies both sliding manifold and controller design. A numerical example with simulation results illustrates the effectiveness of the methodology.

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Section: Control Design and Stability Analysis To Sliding Manifoldmentioning

confidence: 99%

“…Generally SMC utilizes a discontinuous control to force system state trajectories to some pre-defined sliding manifold on which the system has desired properties such as stability, disturbance rejection capability, tracking, etc. (DeCarlo et al 1988, 1996, Utkin 1992.…”

Section: Introductionmentioning

confidence: 98%

Robust sliding mode control of uncertain time delay systems

DeCarlo

2003

International Journal of Control

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“…One way is using the disturbance observer (DOB) technique, as suggested in [8] and [9]. However, the DOB based SMC algorithms usually assume that the model uncertainty is generated by a linear exogenous system [10], which is hard to satisfy due to the complexity and unpredictability of the uncertainty.…”

Section: Introductionmentioning

confidence: 99%

Adaptive sliding mode control for spacecraft attitude maneuvers with reduced or eliminated reaching phase

Cong

Liu

Chen

2012

Proceedings of 2012 UKACC International Conference on Control

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This paper aims to present an improved adaptive sliding mode control (ASMC) design for rigid spacecraft attitude maneuvers. An adaptive scheme is proposed for the switching gain calculation when the upper bound of the system uncertainty is unknown in advance. Unlike existing ASMC design, which may result in an over-adaptation of the upper bound when the initial system trajectory is located far from the sliding surface, this paper presents a novel ASMC strategy by introducing a decay term in the sliding function to reduce or eliminate the unrelated factor in the adaptation scheme. Consequently, a lower-chattering control signal is achieved. Simulation results are presented to illustrate the effectiveness of the proposed strategy.

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“…Fuzzy logic based controllers have been widely used for dealing with such uncertain systems [6] [7] [8] [3]. However, sliding mode control method has gained wide acceptance [9] [4] [10] [11] because of its robustness and disturbance compensation capability. The sliding mode controller is traditionally used for controlling uncertain systems as it ensures immunity to disturbance as well as high accuracy tracking.…”

Section: Introductionmentioning

confidence: 99%