Neuro-adaptive backstepping control of SISO non-affine systems with unknown gain sign

Ramezani, Zahra; Arefi, Mohammad Mehdi; Zargarzadeh, Hassan; Jahed‐Motlagh, Mohammad Reza

doi:10.1016/j.isatra.2016.08.024

Cited by 25 publications

(15 citation statements)

References 25 publications

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“…One of the main superiority of the proposed controller over the existing ones in which Nussbaum technique with UFAs are used 34,42 is the number of adaptation laws in each step. One of the main superiority of the proposed controller over the existing ones in which Nussbaum technique with UFAs are used 34,42 is the number of adaptation laws in each step.…”

Section: Controller Designmentioning

confidence: 99%

“…Remark 4. One of the main superiority of the proposed controller over the existing ones in which Nussbaum technique with UFAs are used 34,42 is the number of adaptation laws in each step. In this paper, two adaptation laws are used in each step instead of three, which can effectively reduce the computation burden of the updating parameters.…”

Section: Controller Designmentioning

confidence: 99%

“…Traditionally, in the approximation-based control schemes, tracking errors converge to a residual set, whose size depends on design parameters and upper bound of the unknown uncertainties. 11,20,28,34,35 Besides of using UFAs, Nussbaum functions, as a technique to tackle with unknown control directions, are another reason for the poor transient response in the system. 36 This condition can be worse, and the system performances are severely being affected if unknown time-varying delays and dead-zone nonlinearity as the indispensable part of practical systems and actuators are considered, along with unknown disturbances and control directions.…”

Section: Introductionmentioning

confidence: 99%

“…There are numerous systems such as biochemical process, some aircraft dynamics, chemical reactors, etc, which are considered as nonaffine systems. 14,34,35 Many approaches are introduced to transform the nonaffine systems to the affine one such as using Taylor series expansion 35 and utilizing the mean-value theorem.…”

Section: Introductionmentioning

confidence: 99%

“…This problem also exists in other works. 11,20,28,34,35 Besides of using UFAs, Nussbaum functions, as a technique to tackle with unknown control directions, are another reason for the poor transient response in the system. 43 Inspired by the preceding discussion, the main question raised with the schemes of DSC technique based on UFAs with the coupling effect of unknown gain signs, time delays and dead-zone nonlinearity in the system, is how to achieve the desired performance in which the error evolves strictly within the prescribed bounds.…”

Section: Introductionmentioning

confidence: 99%

See 4 more Smart Citations

Prescribed performance adaptive fuzzy dynamic surface control of nonaffine time‐varying delayed systems with unknown control directions and dead‐zone input

Tooranjipour

Vatankhah

Arefi

2019

Adaptive Control & Signal

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In this paper, an adaptive prescribed performance control method is presented for a class of uncertain strict feedback nonaffine nonlinear systems with the coupling effect of time-varying delays, dead-zone input, and unknown control directions. Owing to the universal approximation property, fuzzy logic systems are used to approximate the uncertain terms in the system. Since there is no systematic approach to determine the required upper bounds of errors in control systems, the prior selection of control parameters to have a satisfactory performance is somehow impossible. Therefore, the prescribed performance technique as a solution is applied in this study to bring satisfactory performance indices to the system such as overshoot and steady state performance within a predetermined bound. Dynamic surface control strategy is also introduced to the proposed control scheme to address the "explosion of complexity" behavior existing in conventional backstepping methods. To ease the control design, the mean-value theorem is utilized to transform the nonaffine system into the affine one. Moreover, with the help of this theorem, the unknown dead-zone nonlinearity is separated into the linear and nonlinear disturbance-like bounded term. The proposed method relaxes a prior knowledge of control direction by employing Nussbaum-type functions, and the effect of time-varying delays are compensated by constructing the proper Lyapunov-Krasovskii functions. The proposed controller guarantees that all the closed-loop signals are semiglobally uniformly ultimately bounded and the error evolves within the decaying prescribed bounds. In the end, in order to demonstrate the superiority of this method, simulation examples are given. KEYWORDS adaptive fuzzy control, dead-zone nonlinearity, dynamic surface control, nonaffine systems, prescribed performance, time-varying delays 1134

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Section: Controller Designmentioning

confidence: 99%

Section: Controller Designmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 3 more Smart Citations

Prescribed performance adaptive fuzzy dynamic surface control of nonaffine time‐varying delayed systems with unknown control directions and dead‐zone input

Tooranjipour

Vatankhah

Arefi

2019

Adaptive Control & Signal

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Finite‐Time Fault‐Tolerant Control for a Class of Non‐Affine Nonlinear System Using Sliding Mode Disturbance Observer

Zhang

Wang

2018

Asian Journal of Control

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This study investigates a finite-time fault-tolerant control scheme for a class of non-affine nonlinear system with actuator faults and unknown disturbances. A global approximation method is applied to non-affine nonlinear system to convert it into an affine-like expression with accuracy. An adaptive terminal sliding mode disturbance observer is proposed to estimate unknown compound disturbances in finite time, including external disturbances and system uncertainties, which enhances system robustness. Controllers based on finite-time Lyapunov theory are designed to force tracking errors to zero in finite time. Simulation results demonstrate the effectiveness of proposed method.

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An Observer-Based Robust Adaptive Fuzzy Back-Stepping Control of Ball and Beam System

Rahbar

Kalat

2019

Arab J Sci Eng

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Neuro-adaptive backstepping control of SISO non-affine systems with unknown gain sign

Cited by 25 publications

References 25 publications

Prescribed performance adaptive fuzzy dynamic surface control of nonaffine time‐varying delayed systems with unknown control directions and dead‐zone input

Prescribed performance adaptive fuzzy dynamic surface control of nonaffine time‐varying delayed systems with unknown control directions and dead‐zone input

Finite‐Time Fault‐Tolerant Control for a Class of Non‐Affine Nonlinear System Using Sliding Mode Disturbance Observer

An Observer-Based Robust Adaptive Fuzzy Back-Stepping Control of Ball and Beam System

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