Stable adaptive output feedback controller for a class of uncertain non‐linear systems

Esfandiari, Kasra; Abdollahi, Farzaneh; Talebi, Heidar Ali

doi:10.1049/iet-cta.2014.0822

Cited by 17 publications

(14 citation statements)

References 37 publications

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“…Theorem 2 is presented to guarantee uniformly boundedness of the observation errors without any knowledge about the upper bound of Δ eq . Theorem 2: For the dynamical system (16), consider the observer (17), which yields the error dynamics (18). The observation error variables approach to a small neighbourhood around zero as t tends to the finite time T if the observer gains…”

Section: Ft-eso Designmentioning

confidence: 99%

“…Indeed, based on Remark 3, it is assumed that the generalised disturbance Δ eq is uniformly bounded with an unknown upper bound, and also Lipschitz continuous with a known Lipschitz constant Δ eq ≤ σ [7]. Subsequently, to design the global FT-OFC, in (7) substituting ξ i (i = 2, …, ρ) by its estimated values ξ^i from (17) leads to…”

Section: Finite-time Output Feedback Synthesismentioning

confidence: 99%

“…Although ESO-based finite-time controllers have been extensively studied by many authors, ESO-based finite-time controllers with a simple structure are relatively scarce [13][14][15][16][17][18][19]. The terminal sliding mode (TSM) method, as one of the most powerful techniques in finite-time control problems, has been studied in [13,14].…”

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Chattering‐free robust finite‐time output feedback control scheme for a class of uncertain non‐linear systems

Razmjooei

Shafiei

Palli

et al. 2020

IET Control Theory & Appl

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In this study, an innovative technique to design an observer-based finite-time output feedback controller (FT-OFC) is proposed for a class of non-linear systems. This controller aims to make the state variables converge to a small bound around the origin in a finite time. The main innovation of this study is to transform the non-linear system into a new time-varying form to achieve the finite-time boundedness criteria using the asymptotic stability methods. Moreover, without any prior knowledge of the upper bounds of the system uncertainties and/or disturbances, and only based on the output measurements, a novel timevarying extended state observer is designed to estimate the states of the non-linear system as well as the uncertainties and disturbances in a finite time. In this way, the time-varying gains of the extended state observer are designed to converge the observation error to a neighbourhood of zero while remaining uniformly bounded in finite time. Subsequently, an observer-based time-varying control law is designed to make the system globally uniformly bounded in finite time. Finally, the efficiency of the proposed FT-OFC for a disturbed double integrator system with unknown measurement noise is illustrated by numerical simulations.

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Section: Ft-eso Designmentioning

confidence: 99%

Section: Finite-time Output Feedback Synthesismentioning

confidence: 99%

See 1 more Smart Citation

Chattering‐free robust finite‐time output feedback control scheme for a class of uncertain non‐linear systems

Razmjooei

Shafiei

Palli

et al. 2020

IET Control Theory & Appl

View full text Add to dashboard Cite

show abstract

“…On the other hand, several control strategies are developed for dynamical systems in the past decades. However, most of them suffer from having oscillatory transient responses [21–23]. In order to mitigate this issue and overcome the fundamental limitations of linear controllers, the idea of reset control theory, in which a reset mechanism on the states of the controller is introduced, can be utilised.…”

Section: Introductionmentioning

confidence: 99%

LMI‐based reset unknown input observer for state estimation of linear uncertain systems

Hosseini

Khayatian

Karimaghaee

et al. 2019

IET Control Theory & Applications

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This paper proposes a novel kind of Unknown Input Observer (UIO) called Reset Unknown Input Observer (R-UIO) for state estimation of linear systems in the presence of disturbance using Linear Matrix Inequality (LMI) techniques. In R-UIO, the states of the observer are reset to the after-reset value based on an appropriate reset law in order to decrease the L 2 norm and settling time of estimation error. It is shown that the application of the reset theory to the UIOs in the LTI framework can significantly improve the transient response of the observer. Moreover, the devised approach can be applied to both SISO and MIMO systems. Furthermore, the stability and convergence analysis of the devised R-UIO is addressed. Finally, the efficiency of the proposed method is demonstrated by simulation results.

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“…Recently, the implicit function theorem is used to demonstrate the existence of an ideal controller that can achieve control objective, and then a NN or fuzzy system is used to construct this unknown ideal implicit controller for non-affine nonlinear systems [20][21][22][23]. In [24][25][26][27][28][29], by combining the implicit function theorem with mean value theorem, adaptive NN controllers are proposed for non-affine nonlinear systems. However, it is worth noting that the common assumption of the aforementioned approaches is that non-affine function must be differentiable with respect to the control input.…”

Section: Introductionmentioning

confidence: 99%

Robust adaptive neural control for a class of non-affine nonlinear systems

et al. 2017

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This paper addresses the adaptive neural tracking control problem for a class of uncertain non-affine nonlinear system with non-affine function being semi-bounded and possibly non-differentiable. Compared with traditional control schemes, the proposed scheme can be applied to a more general class of non-affine nonlinear system, and relaxes constraint conditions as follows: firstly, the assumption that non-affine function must be differentiable is canceled, and only a continuous condition for non-affine function is required to guarantee the controllability of the considered system, secondly, the assumption that non-affine function is completely bounded is relaxed, and the non-affine function is constrained by a semi-bounded condition with the bounds being unknown functions. Then, an adaptive neural tracking controller is designed based on an invariant set. In the control design process, minimal learning parameter (MLP) technique is used to reduce the number of adaptive parameters, and a smooth robust compensator is employed to circumvent the influences of approximation error and external disturbance. Furthermore, it is proven that all the closed-loop signals are semi-globally uniformly ultimately bounded. Finally, simulation examples are provided to demonstrate the effectiveness of the designed method.

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Stable adaptive output feedback controller for a class of uncertain non‐linear systems

Cited by 17 publications

References 37 publications

Chattering‐free robust finite‐time output feedback control scheme for a class of uncertain non‐linear systems

Chattering‐free robust finite‐time output feedback control scheme for a class of uncertain non‐linear systems

LMI‐based reset unknown input observer for state estimation of linear uncertain systems

Robust adaptive neural control for a class of non-affine nonlinear systems

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