Predefined-Time Stabilization of T–S Fuzzy Systems: A Novel Integral Sliding Mode-Based Approach

Liang, Chang‐Duo; Ge, Ming‐Feng; Liu, Zhiwei; Zhan, Xisheng; Park, Ju H.

doi:10.1109/tfuzz.2022.3152834

Cited by 32 publications

(10 citation statements)

References 45 publications

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“…where F dist ij and F obs ij represent the environmental characteristics of the input feature, A k and B k represent the degree of membership of each characteristic, and Output result represents the output, which is the position evaluation level. The initial rule base for this design, based on the characteristics of the sliding mode [46], [47], [48], [49], [50], is shown in Table 4.…”

Section: ) Decision Making Logicmentioning

confidence: 99%

Adaptive Fuzzy Inference Decision Strategy for Service Robots Tidying Up Objects

Liu

et al. 2023

IEEE Access

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Tidying up objects poses a complex challenge for service robots, particularly when it involves scheduling operations that require real-time action for achieving optimal results. This paper presents a decision system aimed at selecting priority locations to address the problem of robots searching for miscellaneous items in indoor environments. Initially, three datasets with varying complexities are generated using real environmental data, and the environmental information is integrated into feature matrices. Subsequently, the rule base of the fuzzy inference system is trained and optimized using an equilibrium optimizer, and its performance is compared with other commonly used algorithms. The feature matrices and the optimized rule base are then incorporated into the fuzzy inference system, leveraging the traveling salesman problem to determine the optimal sequence for visiting locations. The accuracy and efficiency of the proposed method are validated through physical implementation tests using analog data. Finally, the system is applied and evaluated in real-world scenarios to validate its effectiveness. The video of experiment is available at https://youtu.be/rjMDgopM-9M.INDEX TERMS Autonomous mobile robot, equilibrium optimizer, fuzzy inference system, tidying up object problem, travelling salesman problem.

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Section: ) Decision Making Logicmentioning

confidence: 99%

Adaptive Fuzzy Inference Decision Strategy for Service Robots Tidying Up Objects

Liu

et al. 2023

IEEE Access

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“…Recently, for overcoming the shortcomings of fixed-time convergence, the problems of predefined-time stabilization (PtS) and synchronization of nonlinear system [44,45], like the chaotic Lorenz system [46], have been addressed so as to acquire an explicit UbCT. And the classical sliding mode technique has been utilized for achieving PtS in the first-order [47], second-order [48], fuzzy [49], and Euler-Lagrange systems [50]. But the discontinuous functions are usually contained in the sliding mode control [44][45][46][47][48][49][50], which will lead to undesired tremors.…”

Section: Introductionmentioning

confidence: 99%

“…And the classical sliding mode technique has been utilized for achieving PtS in the first-order [47], second-order [48], fuzzy [49], and Euler-Lagrange systems [50]. But the discontinuous functions are usually contained in the sliding mode control [44][45][46][47][48][49][50], which will lead to undesired tremors. In order to resolve the issue, the predefined-time smooth control scheme has been developed for a class of nonlinear systems [51].…”

Section: Introductionmentioning

confidence: 99%

Predefined-time stabilization of Lorenz system with applications for stabilizing and synchronizing chaotic finance systems

Wu,

Gu,

et al. 2024

Phys. Scr.

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This article investigates the predefined-time stabilization (PtS) of the canonical Lorenz system at first, and then applies the derived results into the chaotic finance systems (CFSs) so as to realize the stabilization and synchronization, respectively. Compared with the traditional finite-/fixed-time stability analysis, the upper-bound of convergence time (UbCT) in this investigation can be set beforehand in need, which is an explicit constant regardless of initial values, system dimension, and controlling parameters. Moreover, the designed control schemes are non-chattering, which do not contain the conventional discontinuous signum and absolute value functions anymore. Via adopting the second Lyapunov method, the sufficient conditions are obtained successively for guaranteeing the realization of PtS for Lorenz system, CFS, as well as the predefined-time synchronization between two CFSs. The numerical experiments are finally arranged to manifest the correctness and effectiveness of the theoretical fruits, in which some comparison and perturbation analysis are made.

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“…Then, Ni et al divided the PTS into strong PTS and weak PTS [30]. Credit to the strengths of the PTS, the predefined-time observer/controller has received much attention [31,32,33,34]. In some literatures, the designed predefined-time controller introduced the time-varying gain technique [35,36,37], the SMC [32,38,39,40,41] and backstepping [30,34] method for robotic, spacecraft, USVs, multi-agent and other nonlinear systems.…”

Section: Introductionmentioning

confidence: 99%

Observer-based practical predefined-time control for unmanned surface vehicles with guaranteed performance: A novel integral sliding mode approach

Cai,

Zhao,

Feng

et al. 2024

Preprint

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This paper investigates practical predefined-time trajectory tracking control problem with guaranteed performance for unmanned surface vehicles (USVs) suffering from dynamic uncertainties and unknown disturbances. A observer-based practical predefined-time integral sliding mode control scheme is proposed. Salient features are as follows. First, by devising a practical predefined-time extended state observer, lumped disturbances arising from uncertainties and external disturbances can be exactly identified within the expected predefined-time, in conjunction with the fuzzy logic systems, and thereby improving the disturbance rejection property of USVs. Then, a nonsingular predefined-time integral sliding mode (NPTISM) surface is proposed using a class of time-dependent scaling function, and the NPTISM surface has only the sliding phase, while the reaching phase is eliminated. Besides, a novel-type prescribed performance function is introduced into the controller to characterize transient and steady-state performances, simultaneously. A rigorous stability analysis guarantees that practical predefined-time stability of the system, and the upper bound of settling time can be precisely set by only a single parameter in advance. Finally, the simulation results and comparisons are carried out to validate the proposal.

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Predefined-Time Stabilization of T–S Fuzzy Systems: A Novel Integral Sliding Mode-Based Approach

Cited by 32 publications

References 45 publications

Adaptive Fuzzy Inference Decision Strategy for Service Robots Tidying Up Objects

Adaptive Fuzzy Inference Decision Strategy for Service Robots Tidying Up Objects

Predefined-time stabilization of Lorenz system with applications for stabilizing and synchronizing chaotic finance systems

Observer-based practical predefined-time control for unmanned surface vehicles with guaranteed performance: A novel integral sliding mode approach

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