High-order sliding mode observers for nonlinear autonomous switched systems with unknown inputs

A good estimate of the rotor's parameters is essential in high-performance control of induction motors. It is shown that the structural impediment that prevents applying a usual adaptive observer to estimate these parameters is that the relative degree between the measured output and the unknown parameters is not one. Then, the high-order sliding mode differentiator is used to circumvent this restriction allowing the construction of a usual adaptive observer. Simulation results are presented to illustrate the performance of the proposed observer under ideal conditions and in the presence of measurement noises.

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“…[10][11][12]). In what follows, it is shown that the structural condition of Remark 1 can also be circumvented in similar way.…”

Section: Remarkmentioning

confidence: 99%

Estimating rotor parameters in induction motors using high‐order sliding mode algorithms

Angulo

Carrillo-Serrano

2015

IET Control Theory & Applications

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“…Thus, the LPV system is transformed into a new class of system, referred to as switched LPV system [24]. Both the study of the observability properties of switched systems [25,26] and the design of observers for switched systems with unknown inputs [27,28,29,30] have been investigated with interest in recent years. However, only a few works have dealt with the problem of observer design for switched LPV system, e.g.…”

Section: Introductionmentioning

confidence: 99%

Actuator multiplicative fault estimation in discrete-time LPV systems using switched observers

Rotondo

López‐Estrada

Nejjari

et al. 2016

Journal of the Franklin Institute

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This paper proposes an observer for the joint state and fault estimation devoted to discrete-time linear parameter varying (LPV) systems subject to actuator faults. The major contribution of this work is that the observer is able to estimate multiplicative faults, contrarily to the existing approaches, that consider additive faults. The main characteristic of this observer is that it is scheduled not only by means of the endogenous varying parameters of the faulty model, but also by the input vector. Another contribution of this paper consists in adding a switching component in order to guarantee the feasibility of the conditions for designing the observer gains. It is proved that, as long as the input sequence satisfies some characteristics, the convergence of the observer error dynamics to zero is assured. A numerical example is used to demonstrate the effectiveness of the proposed strategy.Peer ReviewedPostprint (author's final draft

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“…However, due to the existence chattering phenomenon the application of sliding mode control face challenge. This year, high order sliding mode control has become the focus in the fields, it not only keeps the traditional advantages of strong robustness, but also eliminates chattering phenomenon which is the core problem of traditional [3][4][5].…”

Section: Introductionmentioning

confidence: 99%

“…References [2][3][4] proposed a method of high order sliding mode controller using the integral sliding mode for uncertain nonlinear systems ensuring robust tracking performance and finite time theory is used. Reference [5] developed a higherorder sliding mode observer based on super twisting algorithm for state and unknown input estimations.…”

Section: Introductionmentioning

confidence: 99%

High Order Sliding Mode Control for the Aircraft Antiskid Braking System

Fu¹,

Gao²,

Li³

et al. 2015

Proceedings of the 2015 International Conference on Industrial Technology and Management Science

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High-order sliding mode observers for nonlinear autonomous switched systems with unknown inputs

Cited by 52 publications

References 30 publications

Estimating rotor parameters in induction motors using high‐order sliding mode algorithms

Estimating rotor parameters in induction motors using high‐order sliding mode algorithms

Actuator multiplicative fault estimation in discrete-time LPV systems using switched observers

High Order Sliding Mode Control for the Aircraft Antiskid Braking System

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