Nonsingular Fast Terminal Sliding Mode Tracking Control for a Class of Uncertain Nonlinear Systems

Chen, Siyi; Wei, Liu; Huang, Huixian

doi:10.1155/2019/8146901

Cited by 13 publications

(11 citation statements)

References 33 publications

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“…When the system states are far from the sliding manifold (jsj > 1), k 2 ð Þ s j j P 2 sign s ð Þ term plays a significant role in reaching control law. Also, when the states placed in the sliding manifold (jsj < 1), k 1 ð Þ s j j P 1 sign s ð Þ dominates [25]. Λsign(s) is used to eliminates the uncertainty and external disturbance.…”

Section: Fractional-order Nftsmmentioning

confidence: 99%

Adaptive type‐II fuzzy nonsingular fast terminal sliding mode controller using fractional‐order manifold for second‐order chaotic systems

Khaniki

Tavakoli-Kakhki

2021

Asian Journal of Control

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A novel fuzzy adaptive finite‐time controller is designed for synchronization and control of the Duffing–Holmes and the gyroscope systems in the presence of uncertainty and external disturbance. The fractional‐order fast nonsingular terminal sliding mode manifold is used to ensure the finite‐time control, speed up the convergence rate, and address the singularity problem of the conventional terminal sliding mode controller. Also, the novel control law successfully reduces the chattering phenomenon. Adaptive biased type‐II fuzzy inference system is used to determine the optimal values of the switching control term. The adaptation rules of the novel fuzzy inference system are achieved based on Lyapunov stability theorem. Finally, by using numerical simulations, the effectiveness and superiority of the proposed control scheme are verified against some other methods.

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Section: Fractional-order Nftsmmentioning

confidence: 99%

Adaptive type‐II fuzzy nonsingular fast terminal sliding mode controller using fractional‐order manifold for second‐order chaotic systems

Khaniki

Tavakoli-Kakhki

2021

Asian Journal of Control

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“…The (5) implies that the state is insensitive to changes in system parameters and external loading interferences during sliding mode action (sliding phase). Nevertheless, when the state trajectory is forced towards the sliding surface (reaching phase), the fast limited-time convergence and robustness is not always guaranteed; Gao and Hung first proposed a new concept of sliding-mode reaching law to solve this dilemma [76], and many researchers have improved classic slidingmode reaching law for various applications [77][78][79][80][81].…”

Section: Proposed Control Strategymentioning

confidence: 99%

Robust Optimal Tracking Control of a Full-Bridge DC-AC Converter

Chang

Cheng

2021

Applied Sciences

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This paper develops a full-bridge DC-AC converter, which uses a robust optimal tracking control strategy to procure a high-quality sine output waveshape even in the presence of unpredictable intermissions. The proposed strategy brings out the advantages of non-singular fast convergent terminal attractor (NFCTA) and chaos particle swarm optimization (CPSO). Compared with a typical TA, the NFCTA affords fast convergence within a limited time to the steady-state situation, and keeps away from the possibility of singularity through its sliding surface design. It is worth noting that once the NFCTA-controlled DC-AC converter encounters drastic changes in internal parameters or the influence of external non-linear loads, the trembling with low-control precision will occur and the aggravation of transient and steady-state performance yields. Although the traditional PSO algorithm has the characteristics of simple implementation and fast convergence, the search process lacks diversity and converges prematurely. So, it is impossible to deviate from the local extreme value, resulting in poor solution quality or search stagnation. Thereby, an improved version of traditional PSO called CPSO is used to discover global optimal NFCTA parameters, which can preclude precocious convergence to local solutions, mitigating the tremor as well as enhancing DC-AC converter performance. By using the proposed stable closed-loop full-bridge DC-AC converter with a hybrid strategy integrating NFCTA and CPSO, low total harmonic distortion (THD) output-voltage and fast dynamic load response are generated under nonlinear rectifier-type load situations and during sudden load changes, respectively. Simulation results are done by the Matlab/Simulink environment, and experimental results of a digital signal processor (DSP) controlled full-bridge DC-AC converter prototype confirm the usefulness of the proposed strategy.

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“…We choose such that the closed-loop poles are in the desired locations. The closed-loop settling time and overshoot specifications are used to obtain the location of dominant poles, using the relation used in [24], where, and are damping factor, natural frequency and sampling period, respectively.…”

Section: Lyapunov Stability Conditionsmentioning

confidence: 99%

“…Recently, several robust control approaches have been proposed to attenuate the undesired effects caused by the disturbances, uncertainties or the nonlinearities. Various methods applied in practical control systems, such as terminal sliding mode control [19], [20], adaptive super twisting terminal sliding mode control [21], [22], Fast terminal sliding mode control (FTSMC) [23], Nonsingular FTSMC [24], Adaptive nonsingular FTSMC [25], [26], [27], Continuous nonsingular FTSMC [28], Finite-time adaptive integral backstepping FTSMC [29]. The observer-model following design objective is to develop a control scheme which forces the plant-observer dynamics to follow the dynamics of a reference (ideal) model.…”

Section: Introductionmentioning

confidence: 99%

Robust Control Design using Discrete Sliding Mode Control for Higher Order Uncertain Systems

Patil,

Patel

2020

IJEAT

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This paper considers a tracking problem on discrete-time higher-order linear time-delay systems. The improved observer-model following sliding mode controller (OMF-SMC) is proposed. The combination uses a classical Luyenberger observer based controller to achieve predefined process output and sliding mode controller is added to assure the robustness despite of uncertainty and external disturbances. To show the effectiveness of proposed method, four error performance indices, maximum peak overshoot and settling time are considered rigorously. The simulations results on the non-oscillatory, moderate oscillatory, integrating, unstable and non-minimum phase system demonstrates that the proposed approach performs better compared with classical PID controller, continuous and discrete sliding mode controllers.

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Nonsingular Fast Terminal Sliding Mode Tracking Control for a Class of Uncertain Nonlinear Systems

Cited by 13 publications

References 33 publications

Adaptive type‐II fuzzy nonsingular fast terminal sliding mode controller using fractional‐order manifold for second‐order chaotic systems

Adaptive type‐II fuzzy nonsingular fast terminal sliding mode controller using fractional‐order manifold for second‐order chaotic systems

Robust Optimal Tracking Control of a Full-Bridge DC-AC Converter

Robust Control Design using Discrete Sliding Mode Control for Higher Order Uncertain Systems

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