Dynamic Observer-Based Fast Fixed-Time Filtered Backstepping Controller Design for a Constrained Uncertain Nonlinear System

Wang, Fang; Zhou, Chao; Chen, Hua

doi:10.1109/tsmc.2022.3230429

Cited by 8 publications

(1 citation statement)

References 58 publications

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“…Since the sign function exists,

{e}_i

used in this study is discontinuous, which may render the derivatives unavailable. This design differs from traditional backstepping approaches by incorporating an FFTF into the control procedure, as inspired by Wang et al 55 The use of the FFTF helps to avoid taking higher‐order derivatives of

{\dot{p}}_i

. Thus

{\ddot{p}}_i

is not directly utilized in the virtual control controller design.…”

Section: Distributed Optimization Strategy Designmentioning

confidence: 99%

Fixed‐time distributed adaptive optimization for third‐order nonlinear fully heterogeneous vehicular platoon systems

Lei,

2024

Adaptive Control & Signal

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SummaryIn this article, the problem of fixed‐time distributed optimization is researched for third‐order fully heterogeneous nonlinear connected and autonomous vehicles. To address this problem, a fixed‐time distributed optimization algorithm is proposed via a two‐step strategy. First, an optimization algorithm is proposed to generate a virtual reference signal that can converge to the optimal solution. Then, we further construct an adaptive tracking controller to track the virtual signal based on the first step. In the design process of the controller, the virtual control variables and the actual control input are obtained by using the backstepping technique. Furthermore, a fast fixed‐time filter is introduced to avoid the issue of discontinuous gradient functions. Fuzzy logic systems are employed to address the unknown part of the nonlinear function. By using tools from the fixed‐time stability criterion, convex optimization theory, and Lyapunov stability theory, it can be demonstrated that the provided strategy drives all optimization variables to the optimal solution within a fixed time and guarantees the closed‐loop system signals are bounded. Finally, the effectiveness of control strategy is verified via a numerical simulation.

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“…Since the sign function exists,