Global adaptive output feedback control for a class of nonlinear time-delay systems

Zhai, Junyong; Zha, Wenting

doi:10.1016/j.isatra.2013.08.001

Cited by 55 publications

(36 citation statements)

References 20 publications

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“…As stated in Remark 1 of [28], system (1) satisfying Assumption 3.1 is referred to as feedforward nonlinear system. In the case when the growth rate was an unknown constant, instead of cðuÞð1 þ jyj p Þ, the problem of global state regulation was solved by output feedback in [23,27]. Moreover, when the growth rate was c(u), such problem was addressed in [28].…”

Section: Resultsmentioning

confidence: 99%

“…On the other hand, the problem of global output feedback control has been investigated for a class of feedforward nonlinear systems in [21][22][23][24][25][26][27][28]. Specifically, when triangular type restriction was not satisfied, a linear output feedback control scheme was proposed to achieve global exponential stabilization in [22].…”

Section: Introductionmentioning

confidence: 99%

“…Further, in [26], such problem was solved for a class of nonlinear systems with uncertain output function. In the presence of time delays, the global state regulation was achieved via linear output feedback in [27,28], where the growth rate depended on unknown constant or nonlinearities of system input.…”

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Global state regulation by output feedback for feedforward systems with input and output dependent incremental rate

Jia

Jiao

et al. 2015

Journal of the Franklin Institute

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Section: Resultsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Global state regulation by output feedback for feedforward systems with input and output dependent incremental rate

Jia

Jiao

et al. 2015

Journal of the Franklin Institute

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“…In the last decades, predictive control has been implemented successfully in many industrial control, and shows good performance (e.g., see [16][17][18][19][20][21][22][23][24][25][26][27][28][29][30][31][32][33]). In [16,17], the NN predictive control problems for nonlinear systems were investigated.…”

Section: Introductionmentioning

confidence: 99%

“…In [22], the predictor-based compensation for electromechanical delay was investigated. In [23,24], the global output feedback control problems for a class of nonlinear systems with time-delay were investigated. However, the considered systems in literatures [16][17][18][19][20][21][22][23][24] are all continuous.…”

Section: Introductionmentioning

confidence: 99%

NN-adaptive predictive control for a class of discrete-time nonlinear systems with input-delay

Zhao

2016

Neurocomputing

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Mapping filtered forwarding‐based robust adaptive control for uncertain nonlinear systems with input constraint

Zhang

Huang

et al. 2017

Adaptive Control & Signal

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This work develops a robust adaptive control algorithm for uncertain nonlinear systems with parametric uncertainties and external disturbances satisfying an extended matching condition. This control method is implemented in the framework of a mapping filtered forwarding-based technique. As an attractive alternative of the adaptive backstepping method, this bottom-up strategy forms a virtual controller and a parameter updated law at each step of the design, where Lyapunov functions and the prior knowledge of system parameters are not required. The boundedness of all signals is guaranteed by using Barbalat's lemma. According to immersion relationship, a compliant behavior of systems behaves accordingly to the lower-order target dynamics. Furthermore, input constraints are handled by estimating a saturated scaling. A spring, mass, and damper system is used to demonstrate the controller performances via simulation results. KEYWORDS adaptive control, filters, input saturation, mapping filtered forwarding control, uncertain nonlinear systems 248 ;32:248-264. ZHANG ET AL. 249error as z =θ − θ + β(x), where β(x) is a continuous term, and utilizing the uncertainty equivalence principle to design parameter update laws for lower triangular systems. Although researchers used this method to design parameter update laws in some practical systems, the achievements strictly depend on an assumption satisfying the partial differential inequality to obtain β(x). 20,21 In essence, the solvability of this inequality strongly relies on the structure of the regressor, and as system order increases, the implementation will be limited. Therefore, it could not be feasible to achieve I&I adaptive stabilization for high-order nonlinear systems with extended matching uncertainties. 22,23 Furthermore, control input saturation severely limits system performance in many physical systems, giving rise to undesirable properties or leading instability. 24,25 The hyperbolic tangent function is used to approximate the saturated nonlinearity, 12 where the approximated error is considered as an augmented external disturbance. Although this algorithm is easy to be carried out, the problem of the definition domain of artanh(·) is encountered while tuning controller gains. It can be shown that the bound of the nonlinear function we derive must be restricted to (−1, 1). 26 The problem of the controller design for the nonlinear systems with input saturation and parametric uncertainties has not been addressed adequately under a mapping filtered forwarding-based framework.In this paper, we will study the robust adaptive control design for nonlinear systems subject to input saturation and uncertainties under the mapping filtered forwarding-based framework. A new bottom-up control scheme from a manifold's perspective, namely, mapping filtered adaptive forwarding, which consists of virtual control laws and parameter updated laws, will be presented. With the proposed controller architecture, manifolds are guaranteed to be insensitive to uncertainties, and the iss...

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Global adaptive output feedback control for a class of nonlinear time-delay systems

Cited by 55 publications

References 20 publications

Global state regulation by output feedback for feedforward systems with input and output dependent incremental rate

Global state regulation by output feedback for feedforward systems with input and output dependent incremental rate

NN-adaptive predictive control for a class of discrete-time nonlinear systems with input-delay

Mapping filtered forwarding‐based robust adaptive control for uncertain nonlinear systems with input constraint

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