Global Prescribed Performance Control for Strict Feedback Systems Pursuing Uncertain Target

Shao, Zhuwu; Wang, Yujuan; Chen, Xiang

doi:10.1109/tnnls.2022.3189951

Cited by 4 publications

(4 citation statements)

References 44 publications

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“…Remark 1: Compared with [15]- [17], [24], [26], [31], [34], [40], [42], system (1) is more common and can describe many practical control plants including robot manipulators, mass-spring-damper systems, parallel active suspension systems, ship maneuvering systems and switched RLC circuits. Therefore, it is of great significance to study the tracking control problem of system (1), specifically, with prescribed-time prescribed performance for more desired system response.…”

Section: A System Descriptionsmentioning

confidence: 99%

“…Assumptions 2 and 3 are used in most existing results [25], [28], [31], [45], [46]. Assumption 4 can be seen as a generalized Lipschitz condition which is less restrictive as compared with that in [41], [42].…”

Section: Assumptions and Lemmasmentioning

confidence: 99%

“…Using a skillful rate function and a self-tuning Nussbaum-type function, the problem is preliminarily solved for a second-order Euler-Lagrange system with full-state constraints and nonparametric uncertainties [40]. Then, this methodology is extended to uncertain strict-feedback nonlinear systems [41], [42] and high-order multi-agent systems [43] via traditional backstepping control techniques. However, the self-tuning Nussbaumtype function multiplies the dynamic order of the closedloop systems, which, together with the differential explosion problem, leads to higher computational complexity.…”

Section: Introductionmentioning

confidence: 99%

“…However, the self-tuning Nussbaumtype function multiplies the dynamic order of the closedloop systems, which, together with the differential explosion problem, leads to higher computational complexity. Besides, the time-varying performance function introduced in [42] is singular at the initial time, which further limits its practical applicability. In conclusion, how to obtain globally prescribedtime prescribed performance without high computational complexity for uncertain strick-feedback nonlinear systems is still an open problem and deserves further investigation.…”

Section: Introductionmentioning

confidence: 99%

See 3 more Smart Citations

Adaptive Fuzzy Tracking Control with Global Prescribed-Time Prescribed Performance for Uncertain Strict-Feedback Nonlinear Systems

Mao¹,

Wu²,

Liu³

et al. 2022

Preprint

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Adaptive fuzzy control strategies are established to achieve global prescribed performance for uncertain strictfeedback nonlinear systems with prescribed time. Firstly, a class of prescribed-time prescribed performance function is designed to quantify the transient and steady performance constraints of the tracking error. Secondly, based on dynamic surface control methods, controllers with or without approximating structures are established to guarantee that the tracking error satisfies prescribed transient performance and converges into a prescribed bounded set within prescribed time. In particular, the settling time and initial value of the prescribed performance function are completely independent of initial conditions of the tracking error and system parameters, which improves existing results. Moreover, with a novel Lyapunov-like energy function, not only the differential explosion problem frequently occurring in backstepping techniques is solved, but the drawback of the semiglobal boundedness of tracking error induced by dynamic surface control can be overcome. The validity and effectiveness of the main results are verified by numerical simulations on practical examples.

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