LMI-Based Sliding Surface Design for Integral Sliding Mode Control of Mismatched Uncertain Systems

Choi, Han Ho

doi:10.1109/tac.2007.894543

Cited by 266 publications

(120 citation statements)

References 17 publications

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“…그러나 슬라이딩 모드 제어기법은 전통적인 문제점인 Chattering 문제를 가지고 있을 뿐만 아니라, 외란과 입력이 같은 채널에 있는, 즉 정 합조건(matched condition)을 만족하는 시스템의 경우에만 적용이 가능하다는 단점이 있다 [3]. 실제 시스템에서는 외란 과 내부 불확실성이 항상 정합조건으로 주어지지 않는 것을 종종 볼 수 있다 [4][5][6].…”

Section: 서 론unclassified

Fuzzy Disturbance Observer based Multiple Sliding Surface Control of Nonlinear Systems with Mismatched Disturbance

Lee¹,

Seo²,

Hyun³

et al. 2014

Journal of Korean Institute of Intelligent Systems

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This paper proposes fuzzy disturbance observer based multiple sliding surface control scheme for nonlinear systems with mismatched disturbance. In order to stabilize nonlinear systems with mismatched disturbance, a controller based on multiple sliding surface control scheme is designed. In addition, a fuzzy disturbance observer is used to estimate the disturbance. Using the fuzzy disturbance observer, "explosion of terms" problem and chattering problem were solved. The stability of the proposed control scheme is analyzed by Lyapunov stability theory. For the verification, we apply the proposed method to numerical examples and compare its result with that of the applied nonlinear disturbance observer based sliding mode control.

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Section: 서 론unclassified

Fuzzy Disturbance Observer based Multiple Sliding Surface Control of Nonlinear Systems with Mismatched Disturbance

Lee¹,

Seo²,

Hyun³

et al. 2014

Journal of Korean Institute of Intelligent Systems

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show abstract

“…, where Θ 1 and Θ 2 are given as in (9) and (10). By Schur's complement, it can be shown that Ω < 0 is ensured by LMI (11).…”

Section: T)p P Pb B B Wi W W W(t) − 2s T (T)[i I I + δ (T)]b B B T I mentioning

confidence: 99%

“…Remark 3: In fact, the design strategy of the sliding-mode controller (6) accords with the so-called parallel distributed compensation (PDC) scheme [3,5,6,10,12]. This idea is that the overall controller is a fuzzy blending of each individual controller for each local linear model.…”

Section: -S Fuzzy Design For Uncertain Nonlinear Systems With State Dmentioning

confidence: 99%

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H∞ Robust T-S Fuzzy Design for Uncertain Nonlinear Systems with State Delays Based on Sliding Mode Control

Zhang

Wang

Yuan

2010

INT J COMPUT COMMUN

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This paper presents the fuzzy design of sliding mode control (SMC) for nonlinear systems with state delay, which can be represented by a Takagi-Sugeno (T-S) model with uncertainties. There exist the parameter uncertainties in both the state and input matrices, as well as the unmatched external disturbance. The key feature of this work is the integration of SMC method with H ∞ technique such that the robust asymptotically stability with a prescribed disturbance attenuation level γ can be achieved. A sufficient condition for the existence of the desired SMC is obtained by solving a set of linear matrix inequalities (LMIs). The reachability of the specified switching surface is proven. Simulation results show the validity of the proposed method.

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“…The sliding mode control (SMC) has various attractive features such as fast response, good transient response and order-reduction (Roh & Oh, 1999;Choi, 2007). It is also insensitive to variations in system parameters and external disturbances.…”

Section: Introduction *mentioning

confidence: 99%

Robust Control of Uncertain Switched Delay Systems: a Sliding Mode Control Design

Lian

Dimirovski

Zhao

2008

IFAC Proceedings Volumes

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This paper investigates the robust sliding mode control problem for a class of uncertain switched delay systems. A single sliding surface is constructed such that the reduced-order equivalent sliding motion restricted to the sliding surface is completely invariant to all admissible uncertainties. For the cases of known delay and unknown delay, the existence conditions of the sliding surface are proposed, respectively. The corresponding hysteresis switching laws are designed to asymptotically stabilize the sliding motion. Furthermore, variable structure controllers are developed to drive the state of the switched system to reach the single sliding surface in finite time and remain on it thereafter. Finally, a numerical example is given to illustrate the effectiveness of the proposed method.

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LMI-Based Sliding Surface Design for Integral Sliding Mode Control of Mismatched Uncertain Systems

Cited by 266 publications

References 17 publications

Fuzzy Disturbance Observer based Multiple Sliding Surface Control of Nonlinear Systems with Mismatched Disturbance

Fuzzy Disturbance Observer based Multiple Sliding Surface Control of Nonlinear Systems with Mismatched Disturbance

H∞ Robust T-S Fuzzy Design for Uncertain Nonlinear Systems with State Delays Based on Sliding Mode Control

Robust Control of Uncertain Switched Delay Systems: a Sliding Mode Control Design

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