Discrete-time sliding mode observer design for a class of uncertain nonlinear systems

Veluvolu, Kalyana C.; Soh, Yeng Chai; Cao, Wen-Jun; Liu, Z.Y.

doi:10.1109/acc.2006.1656615

Cited by 5 publications

(8 citation statements)

References 16 publications

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“…Our main idea in this paper to achieve DSM is by avoiding switching on the sliding manifold. The trajectory is made to reach the boundary layer but is not allowed to cross the other side of boundary layer [5]. This is achieved with the following saturation function.…”

Section: Existence Of Discrete-time Sliding Mode With Boundary Layermentioning

confidence: 99%

“…The boundary layer is generally used to avoid chattering in standard sliding mode phenomenon. But in this paper, we show that the selection of proper boundary layer forms the basis for the existence of DSM similar to [5] of SISO nonlinear systems. The relation between the sliding mode gain and boundary layer thickness is explored and the chattering is completely eliminated.…”

Section: Introductionmentioning

confidence: 95%

“…In So far most of the analysis of DSM has been done outside the boundary layer. In [5], the design of DSM observer for SISO nonlinear systems was presented and the existence of DSM was also established. The boundary layer is generally used to avoid chattering in standard sliding mode phenomenon.…”

Section: Introductionmentioning

confidence: 99%

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Discrete-time Observers with Multiple Sliding Modes for a Class of Nonlinear Uncertain Systems

Veluvolu

Soh

Cao

et al. 2006

2006 1ST IEEE Conference on Industrial Electronics and Applications

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This paper designs discrete-time sliding mode (DSM) observer design for a class of nonlinear uncertain systems. The Taylor series expansion and nonlinear transformation are used to convert the nonlinear continuous time system into the discrete-time model. Multiple sliding modes were introduced to compensate for multiple disturbance terms in the subsystems by appending them to a constant gain observer. A strategy is developed to guarantee the convergence of the estimation error to a bound within a specified boundary layer. Existence of discrete-time sliding mode is guaranteed and the relation between the boundary layer thickness and the sliding mode gain design are obtained.

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Section: Existence Of Discrete-time Sliding Mode With Boundary Layermentioning

confidence: 99%

Section: Introductionmentioning

confidence: 95%

See 1 more Smart Citation

Discrete-time Observers with Multiple Sliding Modes for a Class of Nonlinear Uncertain Systems

Veluvolu

Soh

Cao

et al. 2006

2006 1ST IEEE Conference on Industrial Electronics and Applications

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“…After that various state observation method have been proposed in the literature to design asymptotic observer for nonlinear systems, including continuous-times nonlinear systems [2][3][4][5][6][7][8][9][10], and discrete-time systems [11][12][13][14][15][16][17][18][19][20]. For more specialized work, which consist of results on observers for sampled-data nonlinear systems [10], discrete-time sliding mode observers [12], discrete-time nonlinear systems [13], observers for Lipschitz nonlinear systems [8,13,14,16], and Lipschitz nonlinear discrete-time systems with time-delay [15]. Observer design for nonlinear systems with unknown inputs [17][18][19][20], switching nonlinear systems [21], one-sided Lipschitz nonlinear systems [22,23], and so on.…”

Section: Introductionmentioning

confidence: 99%

A note on observers design for one-sided Lipschitz nonlinear systems

Pan

Meng

Feng

2015

2015 34th Chinese Control Conference (CCC)

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“…The estimation performance is significantly improved with the incorporation of the sliding mode term.So far, most of the analyses of DSM have been done outside the boundary layer. In [24], the design of DSM observer for SISO nonlinear systems was presented and the existence of DSM was also established. The boundary layer is generally used to avoid chattering in standard sliding mode design.…”

mentioning

confidence: 99%

Robust discrete‐time nonlinear sliding mode state estimation of uncertain nonlinear systems

Veluvolu

Soh

Cao

2006

Intl J Robust & Nonlinear

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SUMMARYIn this paper, we propose a discrete-time nonlinear sliding mode observer for state and unknown input estimations of a class of single-input/single-output nonlinear uncertain systems. The uncertainties are characterized by a state-dependent vector and a scalar disturbance/unknown input. The discrete-time model is derived through Taylor series expansion together with nonlinear state transformation. A design methodology that combines the discrete-time sliding mode (DSM) and a nonlinear observer design is adopted, and a strategy is developed to guarantee the convergence of the estimation error to a bound within the specified boundary layer. A relation between sliding mode gain and boundary layer is established for the existence of DSM, and the estimation is made robust to external disturbances and uncertainties. The unknown input or disturbance can also be estimated through the sliding mode. The conditions for the asymptotical stability of the estimation error are analysed. Application to a bioreactor is given and the simulation results demonstrate the effectiveness of the proposed scheme.

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Discrete-time sliding mode observer design for a class of uncertain nonlinear systems

Cited by 5 publications

References 16 publications

Discrete-time Observers with Multiple Sliding Modes for a Class of Nonlinear Uncertain Systems

Discrete-time Observers with Multiple Sliding Modes for a Class of Nonlinear Uncertain Systems

A note on observers design for one-sided Lipschitz nonlinear systems

Robust discrete‐time nonlinear sliding mode state estimation of uncertain nonlinear systems

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