Fixed-time Output Feedback Stabilization and Settling Time Analysis for High-Order Integrator Systems

Guo, Chaoqun; Hu, Jiangping; Ghosh, Bijoy K.

doi:10.23919/ccc55666.2022.9901861

Cited by 4 publications

(4 citation statements)

References 41 publications

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“…where K i is the state feedback gain, derived from (56), and δ i > 0 is the scalar variable. Tis ensures that the m poles of each rule consequence subsystem with PDC controller are precisely situated at λ [48][49][50].…”

Section: Multichannel-h 2 State-feedback Gain Designmentioning

confidence: 99%

Adaptive Optimal Terminal Sliding Mode Control for T-S Fuzzy-Based Nonlinear Systems

Soltanian,

Valadbeigi,

Tavoosi

et al. 2024

Complexity

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This study utilizes the Takagi–Sugeno fuzzy model to represent a subset of nonlinear systems and presents an innovative adaptive approach for optimal dynamic terminal sliding mode control (TSMC). The systems under consideration encompass bounded uncertainties in parameters and actuators, as well as susceptibility to external disturbances. Performance evaluation entails the design of an adaptive terminal sliding surface through a two-step process. Initially, a state feedback gain and controller are developed using Linear Matrix Inequality (LMI) techniques, grounded on H2-performance and partial eigenstructure assignment. Dynamic sliding gain is subsequently attained via convex optimization, leveraging the derived state feedback gain and the designed terminal sliding mode (TSM) controller. This approach diverges from conventional methods by incorporating control effort and estimating actuator uncertainty bounds, while also addressing sliding surface and TSM controller design intricacies. The TSM controller is redefined into a strict feedback form, rendering it suitable for addressing output-tracking challenges in nonlinear systems. Comparative simulations validate the effectiveness of the proposed TSM controller, emphasizing its practical applicability.

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Section: Multichannel-h 2 State-feedback Gain Designmentioning

confidence: 99%

Adaptive Optimal Terminal Sliding Mode Control for T-S Fuzzy-Based Nonlinear Systems

Soltanian,

Valadbeigi,

Tavoosi

et al. 2024

Complexity

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“…Conclusions from ( 3) and ( 6) indicate that the system dynamics are influenced by the signal β in a non-affine manner, posing significant challenges in designing the appropriate controller [34]. To circumvent this issue, the filtered regulation error technology is employed to convert the control signal into an affine form.…”

Section: Control Objectivesmentioning

confidence: 99%

Anti-windup Pitch Angle Control for Wind Turbines Based on Bounded UDE

Jiao,

Wang,

Wang

et al. 2024

Preprint

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In the full load operating range, wind turbines typically use pitch control to maintain rotor speed and output power at their rated values to guarantee the whole system’s safety. Blade pitch actuators are subject to physical limitations and safety requirements, which imposes strict constraints on pitch angle’s amplitude and rate of change. These constraints will bring windup problem to the integral part of the pitch controller. It leads to deterioration of the pitch control system’s performance or even the instability problem, especially for large-scale turbines operating in extreme uncertain wind conditions or suffering from cyber attacks. This paper designs an anti-windup robust pitch angle control strategy to deal with pitch rate constraint issue to enhance the security of control system. First, to facilitate controller design, a filtered tracking error technique is employed to transform the nonaffine form into an affine one. Subsequently, a feedback robust controller based on UDE is developed to handle the model’s uncertainty and external disturbances. To address the issue of integral saturation in the pitch system and guarantee its safety, an elliptical bounded constraint is integrated into the designed UDE strategy. This bounded UDE controller can improve the stability of power generation quality, reduces the mechanical loads on components and enhance the whole system’s safety. Finally, the effectiveness of the proposed scheme is verified on the Wind Turbine Blockset platform in Matlab/Simulink. It can achieve better performance than the traditional method.

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“…To overcome this problem, [25] introduced a special modification of the so-called nested (terminal) second order sliding mode control algorithm that provided fixed-time stability of the origin and allowed to adjust the global settling time of the closed-loop system. An indirect method based on a comparison principle was developed in [13] to compute the upper bound of the settling time of uncertain integrator systems.…”

Section: Introductionmentioning

confidence: 99%

Fixed-time safe tracking control of uncertain high-order nonlinear pure-feedback systems via unified transformation functions

Guo¹,

Hu²,

Jiang³

et al. 2023

Kybernetika

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In this paper, a fixed-time safe control problem is investigated for an uncertain high-order nonlinear pure-feedback system with state constraints. A new nonlinear transformation function is firstly proposed to handle both the constrained and unconstrained cases in a unified way. Further, a radial basis function neural network is constructed to approximate the unknown dynamics in the system and a fixed-time dynamic surface control (FDSC) technique is developed to facilitate the fixed-time control design for the uncertain high-order pure-feedback system. Combined with the proposed unified transformation function and the FDSC technique, an adaptive fixed-time control strategy is proposed to guarantee the fixed-time tracking. The novel original results of the paper allow to design the independent unified flexible fixed-time control strategy taking into account the actual possible constraints, either present or missing. Numerical examples are presented to demonstrate the proposed fixed-time tracking control strategy.

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Fixed-time Output Feedback Stabilization and Settling Time Analysis for High-Order Integrator Systems

Cited by 4 publications

References 41 publications

Adaptive Optimal Terminal Sliding Mode Control for T-S Fuzzy-Based Nonlinear Systems

Adaptive Optimal Terminal Sliding Mode Control for T-S Fuzzy-Based Nonlinear Systems

Anti-windup Pitch Angle Control for Wind Turbines Based on Bounded UDE

Fixed-time safe tracking control of uncertain high-order nonlinear pure-feedback systems via unified transformation functions

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