2021
DOI: 10.1177/01423312211015114
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Robust adaptive fuzzy control for a class of uncertain nonaffine nonlinear systems with unknown control directions

Abstract: In this paper, the adaptive fuzzy backstepping control problem is considered for a class of single-input single-output (SISO) unknown uncertain nonaffine nonlinear systems in strict-feedback form. Within this approach, Nussbaum gain functions are introduced to solve the problem of unknown control directions. The unknown nonlinear functions are approximated by employing adaptive fuzzy systems. The stability analysis of the closed-loop system in the sense of Lyapunov guarantees the global boundedness property fo… Show more

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Cited by 6 publications
(4 citation statements)
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“…Since Nussbaum proposed the concept of Nussbaum gain control, this method has been widely used in control design. For different systems and control objectives, designers usually combined Nussbaum gain control with other different control technologies to design controllers to achieve control purposes [7] , [8] .…”
Section: Introductionmentioning
confidence: 99%
“…Since Nussbaum proposed the concept of Nussbaum gain control, this method has been widely used in control design. For different systems and control objectives, designers usually combined Nussbaum gain control with other different control technologies to design controllers to achieve control purposes [7] , [8] .…”
Section: Introductionmentioning
confidence: 99%
“…In the past few decades, since nonlinear terms inevitably appeared in practical engineering field, how to solve this problem has attracted extensive attention. In this case, fuzzy logic systems (FLS) (Li et al, 2014; Ling et al, 2019; Liu et al, 2016a; Ma and Ma, 2020) and neural networks (NNs) (Bai et al, 2019; Doudou and Khaber, 2021; Li et al, 2019; Zerari et al, 2018) were presented to approximate uncertain parameters or unknown functions. In practice, limited by the complexity of the system itself and some external conditions, the state variables of the system are often immeasurable or partly measurable only.…”
Section: Introductionmentioning
confidence: 99%
“…Despite existing numerous studies on non-linear control in the presence of unknown dead zone (Shahriari-Kahkeshi and Rahmani, 2019), unknown direction of control gain (Doudou and Khaber, 2021) and a combination both of them (Shojaei et al, 2018; Zhang et al, 2013), an observer-based self-organized fuzzy neural network has not been investigated practically.…”
Section: Introductionmentioning
confidence: 99%