Direct Adaptive Preassigned Finite-Time Control With Time-Delay and Quantized Input Using Neural Network

Liu, Yang; Li, Xiaoping; Jing, Yuanwei; Chen, Xiangyong; Qiu, Jianlong

doi:10.1109/tnnls.2019.2919577

Cited by 104 publications

(46 citation statements)

References 44 publications

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“…Moreover, ρ (0) = ρ 0 + ρ T f is the initial value of ρ (t), and lim t→T f ρ (t) = ρ T f . Besides, the proof of the smoothness of ρ (t) can be found in [32] and [33].…”

Section: Problem Statement and Preliminariesmentioning

confidence: 99%

Semi-Globally Practical Finite-Time ${H}_{\infty}$ Control of TCSC Model of Power Systems Based on Dynamic Surface Control

et al. 2020

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A less-complex semi-globally practical finite-time stability (SGPFS) result is presented for thyristor-controlled series compensation (TCSC) model of the power system by using dynamic surface control (DSC), H ∞ control and prescribed performance control (PPC) in this paper. Meanwhile, a set of preassigned finite-time functions (PFTF) are chosen. The designed controller makes the rotor angle converge to a predefined arbitrary small area within a finite-time interval and other states of the closed-loop system are bounded. In addition, the proposed design method is simpler and the presented result is also easier to be achieved. Finally, simulation results are given to verify the effectiveness and superiority of the theoretical finding. INDEX TERMS Power systems, TCSC, semi-globally practical finite-time control, dynamic surface control, H ∞ theory.

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“…Moreover, ρ (0) = ρ 0 + ρ T f is the initial value of ρ (t), and lim t→T f ρ (t) = ρ T f . Besides, the proof of the smoothness of ρ (t) can be found in [32] and [33].…”

Section: Problem Statement and Preliminariesmentioning

confidence: 99%

Semi-Globally Practical Finite-Time ${H}_{\infty}$ Control of TCSC Model of Power Systems Based on Dynamic Surface Control

et al. 2020

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“…On the other hand, the finite-time stability problem has been attracted more attention of researchers to achieve fast transient performance [36][37][38][39][40]. Based on the technology of adding a power integrator, in [41], the authors concentrated on a global finite-time stabilization problem for a class of switched nonlinear systems.…”

Section: Introductionmentioning

confidence: 99%

Adaptive event-triggered control for a class of nonlinear systems with periodic disturbances

et al. 2020

Sci. China Inf. Sci.

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This paper investigates the adaptive event-triggered control problem for a class of nonlinear systems subject to periodic disturbances. To reduce the communication burden, a reliable relative threshold strategy is proposed. Fourier series expansion and radial basis function neural network are combined into a function approximator to model suitable time-varying disturbed function of known periods in strict-feedback systems. By combining the Lyapunov stability theory and the backstepping technique, the proposed adaptive control approach ensures that all the signals in the closed-loop system are bounded, and the tracking error can be regulated to a compact set around zero in finite time. Finally, simulation results are presented to verify the effectiveness of the theoretical results.

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“…Based on the developed FTPF, many adaptive finite-time controllers were constructed. [23][24][25] Recently, another novel FTPF was introduced and an adaptive finite-time control strategy was studied. 26 In summary, both of the above PFs and FTPFs converge at a fixed rate, independent of the tracking error.…”

Section: Introductionmentioning

confidence: 99%

“…So it is not only more applicable but also converges faster than the PFs. [15][16][17][19][20][21][22][23][24][25][26] Besides, the proposed function has the property of finite-time convergence, which is an improvement on the PFs. 27,28 2.…”

Section: Introductionmentioning

confidence: 99%

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Event‐triggered adaptive finite‐time prescribed performance tracking control for uncertain nonlinear systems

Liu

Wang

et al. 2020

Intl J Robust & Nonlinear

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This article addresses the problem of adaptive finite-time tracking control for unknown nonlinear systems based on event-triggered and prescribed performance control. For the first time, a new adjustable finite-time performance function is developed, whose parameters are adjusted online with the change of tracking errors so that it converges faster. Besides, a novel event-triggered control method is introduced to switch smoothly between the fixed and relative threshold strategies. Finally, an adaptive finite-time tracking controller is constructed, which ensures the boundness of all the signals in the closed-loop system and elimination of the Zeno behavior. Simultaneously, the output tracking error falls in a fixed region at pre-defined finite time.

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Direct Adaptive Preassigned Finite-Time Control With Time-Delay and Quantized Input Using Neural Network

Cited by 104 publications

References 44 publications

Semi-Globally Practical Finite-Time ${H}_{\infty}$ Control of TCSC Model of Power Systems Based on Dynamic Surface Control

Semi-Globally Practical Finite-Time ${H}_{\infty}$ Control of TCSC Model of Power Systems Based on Dynamic Surface Control

Adaptive event-triggered control for a class of nonlinear systems with periodic disturbances

Event‐triggered adaptive finite‐time prescribed performance tracking control for uncertain nonlinear systems

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