Sliding mode state observation for non-linear systems

Koshkouei, Ali J.; Zinober, A.S.I.

doi:10.1080/00207170310001643249

Cited by 100 publications

(81 citation statements)

References 14 publications

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“…The gain should be designed such that it meets the two conditions (21) and (34) and the Lyapunov condition (17). If there are no disturbances in the system, the gain design of the subsystem (8) will be similar to the result of Thau's observer [26].…”

Section: Design Of Gain L Wmentioning

confidence: 99%

Multiple sliding mode observers and unknown input estimations for Lipschitz nonlinear systems

Veluvolu

Soh

2011

Intl J Robust & Nonlinear

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SUMMARYMultiple sliding mode observers for state and unknown input estimations of a class of MIMO nonlinear systems are systematically developed in this paper. A new nonlinear transformation is formulated to divide the original system into two interconnected subsystems. The unknown inputs are assumed to be bounded and not necessarily Lipschitz, and do not require any matching condition. Under structural assumptions for the unknown input distribution matrix, the sliding mode terms of the nonlinear observer are designed to track their respective unknown inputs. Also, the unknown inputs can be reconstructed from the multiple sliding mode structurally. The conditions for asymptotic stability of estimation error dynamics are derived. Finally, simulation results are given to demonstrate the effectiveness of the proposed method.

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Section: Design Of Gain L Wmentioning

confidence: 99%

Multiple sliding mode observers and unknown input estimations for Lipschitz nonlinear systems

Veluvolu

Soh

2011

Intl J Robust & Nonlinear

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“…The method is based on a state transformation matrix. From the structure of the sliding feedback injection gains (8) we can conclude that the hyperplane in the error space is S = {e(t) ∈ R n : FCe = 0}. The matrix F ∈ R m×p is scaling design parameter and therefore by choice can be chosen to be full row rank.…”

Section: Synthesis Of the Error System In The Sliding Modementioning

confidence: 99%

“…The gain matrices of the sliding mode observer are characterized using the solution of the LMI existence condition which does not suffer from complexity. Sliding mode observer design for a class of nonlinear systems in which the nonlinear part satisfies the Lipschitz condition, whilst the uncertain part is bounded, was addressed by [8].…”

Section: Introductionmentioning

confidence: 99%

Sliding mode adaptive state observation for time-delay uncertain nonlinear systems

Raoufi

Zinober

2008

2008 American Control Conference

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Abstract-In this paper a method to design robust adaptive sliding mode observers (ASMO) for a class of nonlinear timedelay systems with uncertainties, is proposed. The objective is to achieve insensitivity and robustness of the proposed sliding mode observer to matched disturbances. A novel systematic design method is synthesized to solve matching conditions and compute observer stabilizing gains. The Lyapunov-Krasovskii theorem is employed to prove the ultimate stability with arbitrary boundedness radius of the estimation error of the proposed filter. Finally, the ability of ASMO for fault reconstruction is studied.

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“…The SMO has a unique feature of generating sliding mode on the error between the measured plant output and the observed output. The effectiveness of the methodology for the observer design for nonlinear systems was considered in [23]- [26]. Most recently, Spurgeon describes an overview of linear and nonlinear SMOs in her survey paper [27].…”

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confidence: 99%

Sliding Mode Observer Based Sliding Mode Controller for Slosh-Free Motion Through PID Scheme

Bandyopadhyay

Gandhi

Kurode

2009

IEEE Trans. Ind. Electron.

107

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Abstract-This paper presents a new approach to design a sliding mode controller for a class of mismatched uncertain systems. A method is proposed for the design of a switching surface in the presence of mismatched uncertainties. A design method for a sliding mode observer based on high gain is also proposed in this paper to reconstruct the states of the system for the implementation of sliding mode control. The design technique is simple and computationally efficient. A control problem for the slosh-free motion of a container is considered as the representative of a typical class of systems. A simple pendulum model is considered to represent the lateral slosh. The validity of the proposed scheme is demonstrated by simulation along with the experimental results.Index Terms-Sliding mode control (SMC), sliding mode observer (SMO), slosh.

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Sliding mode state observation for non-linear systems

Cited by 100 publications

References 14 publications

Multiple sliding mode observers and unknown input estimations for Lipschitz nonlinear systems

Multiple sliding mode observers and unknown input estimations for Lipschitz nonlinear systems

Sliding mode adaptive state observation for time-delay uncertain nonlinear systems

Sliding Mode Observer Based Sliding Mode Controller for Slosh-Free Motion Through PID Scheme

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