Sliding mode control for singularly perturbed systems

Ahmed, Ali

doi:10.22215/etd/2005-06150

Cited by 1 publication

(1 citation statement)

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“…Ahmed . [17] presented SMC for singular perturbation system using Lyapunov based approach for only slow subsystem. They have considered fast subsystem as unmodeled high frequency dynamics.…”

Section: Introductionmentioning

confidence: 99%

Sliding mode control for three time scale system with matched disturbances

Munje¹,

Musmade²,

Parkhe³

et al. 2012

2012 Annual IEEE India Conference (INDICON)

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When dealing with large scale systems, the dimension and ill-conditioning of the state matrix motivates the use of singular perturbation theory. This paper presents the design of sliding mode control for three-time-scale system reduced in their slow, fast and very fast sub-models using singular perturbation approach in presence of external disturbances. Sliding mode control (SMC), a powerful tool dealing with uncertainty and disturbances, has been utilized for decades. Firstly, the decomposition of the system is carried out into three subsystems namely 'slow', 'fast 1' and 'fast 2'. Secondly, individual SMC laws are designed satisfying asymptotic stability condition. Finally the composite SMC law is proposed for full order system. Numerical examples are given to demonstrate the robustness of the proposed control scheme. Through the simulations it is observed that the performance of designed composite control law is better compared to three-time-scale approach.

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Section: Introductionmentioning

confidence: 99%