Smooth second-order sliding modes: Missile guidance application

Shtessel, Yuri B.; Shkolnikov, I.A.; Levant, Arie

doi:10.1016/j.automatica.2007.01.008

Cited by 621 publications

(406 citation statements)

References 11 publications

Supporting

Mentioning

404

Contrasting

Unclassified

Order By: Relevance

“…To estimate the arget manoeuvre and compensate it, a first-order linear bserver (FOLO) is proposed in the guidance law, which s the major contribution of this study. The advantage of ur work is that it has significantly weak requirements of levator deflection in contrast with the nonlinear observerased method in [13]. The comprehensive stability of the roposed sliding mode guidance law is also investigated hen it is combined with the FOLO.…”

Section: Preliminary Of Super-twisting Algorithm Consider the Followmentioning

confidence: 99%

“…The comprehensive stability of the roposed sliding mode guidance law is also investigated hen it is combined with the FOLO. In the numerical imulations, the effects of the proposed method and the riginal nonlinear observer-based method [13] are omparatively illustrated. The reason behind the different erformance for these two observer-based methods is horoughly investigated.…”

Section: Preliminary Of Super-twisting Algorithm Consider the Followmentioning

confidence: 99%

“…In [13,25], this objective desires 0 R  or 0 V   in the guidance. Substituting (1c) into (1b) yields 2 sin( )…”

Section: 2mentioning

confidence: 99%

“…The disturbance term f is to be cancelled by means of a special observer to be developed. Lemma 1 [12,24] Consider the system (2) without the uncertain term or 0 f  and select the control as Refer to [12,13] for the proof of Lemma 1. Note that (3) is a special nonlinear PI controller with 1  and 2  as its proportional and integral coefficients, respectively.…”

Section: Preliminary Of Super-twisting Algorithmmentioning

confidence: 99%

“…Levant first proposed the higher-order sliding mode (HOSM) control method to attenuate the chattering [9][10][11][12]. The second-order sliding mode control is the most widely used HOSM method in which the super-twisting algorithm is utilised to attenuate the differentiable disturbance and ensure the finite-time stability [13,14]. To intercept highly manoeuvrable targets, the second-order sliding mode methods were utilised in [13] and [14], based on the nonlinear observers, which are used to check the uncertainty caused by target manoeuvres.…”

mentioning

confidence: 99%

See 4 more Smart Citations

Comparative investigations of nonlinear and linear observers for a highly manoeuvrable target in sliding mode guidance

Wang¹,

Sun²,

Du³

et al. 2017

Bulletin of the Polish Academy of Sciences Technical Sciences

View full text Add to dashboard Cite

Abstract. Target manoeuvre is one of the key factors affecting guidance accuracy. To intercept highly maneuverable targets, a second-order sliding-mode guidance law, which is based on the super-twisting algorithm, is designed without depending on any information about the target motion. In the designed guidance system, the target estimator plays an essential role. Besides the existing higher-order sliding-mode observer (HOSMO), a first-order linear observer (FOLO) is also proposed to estimate the target manoeuvre, and this is the major contribution of this paper. The closed-loop guidance system can be guaranteed to be uniformly ultimately bounded (UUB) in the presence of the FOLO. The comparative simulations are carried out to investigate the overall performance resulting from these two categories of observers. The results show that the guidance law with the proposed linear observer can achieve better comprehensive criteria for the amplitude of normalised acceleration and elevator deflection requirements. The reasons for the different levels of performance of these two observer-based methods are thoroughly investigated.Key words: guidance law, second-order sliding mode, super-twisting algorithm, linear observer, target manoeuvre. matched disturbances. However, the chattering phenomenon is the major obstacle for the implementation of SMC in practice, and a number of methods have been proposed to reduce the chattering. Levant first proposed the higher-order sliding mode (HOSM) control method to attenuate the chattering [9][10][11][12]. The second-order sliding mode control is the most widely used HOSM method in which the super-twisting algorithm is utilised to attenuate the differentiable disturbance and ensure the finite-time stability [13,14]. To intercept highly manoeuvrable targets, the second-order sliding mode methods were utilised in [13] and [14], based on the nonlinear observers, which are used to check the uncertainty caused by target manoeuvres. However, in many simulations, it is readily observed that the guidance commands (acceleration) generated by the proposed guidance laws of [13] and [14] exhibit the properties of oscillation with a large amplitude. Comparing the fundamental guidance component with the observer component, the latter contributes to this phenomenon much more. Hence, an effective estimation approach is urgently needed to deal with highly manoeuvrable targets.Han proposed a novel philosophy, namely the active disturbance rejection control (ADRC) algorithm [15,16], which has attracted wide attention in the past decade. The core of ADRC is an extended state observer (ESO) that can accurately observe the total disturbance. Han originally presented the ESO in a nonlinear form [15], which is too complicated to tune, and is difficult to be implemented. In [16], a linear ESO (LESO) was proposed in terms of frequency bandwidth, which provides a useful design approach in practical applications. Although this

show abstract

Section: Preliminary Of Super-twisting Algorithm Consider the Followmentioning

confidence: 99%

Section: Preliminary Of Super-twisting Algorithm Consider the Followmentioning

confidence: 99%

“…In [13,25], this objective desires 0 R  or 0 V   in the guidance. Substituting (1c) into (1b) yields 2 sin( )…”

Section: 2mentioning

confidence: 99%