Adaptive quantised  observer‐based output feedback control for non‐linear systems with input and output quantisation

Guo, Xiang-Gui; Wang, Jianliang; Liao, Fang

doi:10.1049/iet-cta.2016.0988

Cited by 18 publications

(4 citation statements)

References 39 publications

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“…In actual high-rise building structural systems, the controller's output is often constrained. If the controller's output surpasses the acceptable range of the system, controller saturation may occur, resulting in system instability and potential damage [23] [24]. Therefore, it is crucial to consider structural vibration control in the presence of controller saturation.…”

Section: Introductionmentioning

confidence: 99%

H&#8734; Control for Externally Excited Building Structures with Active Mass Damper under Actuator Saturation

Wei,

Zheng

2023

OJAppS

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This paper investigates the application of active mass dampers to mitigate the vibrations of building structures subjected to unknown external excitations under controller saturation conditions. By utilizing an H ∞ control strategy, the optimal state feedback controller is derived by solving the linear matrix inequality problem for controller saturation. Case studies show that the proposed controller is capable of stabilizing the closed-loop system with good control performance and effectively suppressing vibrations in building structures under unknown external excitation. When compared to controllers that do not consider saturation, the proposed controller requires lower gain and results in reduced energy consumption. The research findings provide valuable insights for addressing real-world building structure control problems, contributing to both theoretical significance and practical applications.

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Section: Introductionmentioning

confidence: 99%

H&#8734; Control for Externally Excited Building Structures with Active Mass Damper under Actuator Saturation

Wei,

Zheng

2023

OJAppS

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“…In this case, it is necessary to design a state observer or filter used to reconstruct the states of a dynamic system. Over the past years, various approaches of the observer design for different control systems have been proposed [40][41][42][43][44][45][46]. For example, a continuous-time nonlinear system with input and output quantization is discussed in [42], the stability and H∞ performance index are guaranteed by constructing an observer-based output feedback controller.…”

Section: Introductionmentioning

confidence: 99%

“…For example, a continuous-time nonlinear system with input and output quantization is discussed in [42], the stability and H∞ performance index are guaranteed by constructing an observer-based output feedback controller. A proper observer-based feedback controller is also designed in [43], and a criterion is revealed to guarantee that the Lur'e singularly perturbed system is absolutely stable. However, it is noticed that there are few works on the observer design for DTSPSs.…”

Section: Introductionmentioning

confidence: 99%

H∞ Control Observer-Based for Discrete-Time Singularly Perturbed Systems With Nonlinear Disturbances

2022

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This paper focuses on the H∞ observer-based control problem for discrete-time singularly perturbed systems (DTSPSs) with nonlinear disturbances. The main contributions of this paper include three aspects: First, a proper observer is constructed. A sufficient condition in terms of linear matrix inequality (LMI) and Lyapunov function is proposed such that the resulting observer error system is asymptotically stable with a prescribed H ∞ norm bound for sufficiently small values of the perturbation parameter. Second, based on the input-to-state stability (ISS) property, an observer-based feedback controller is designed such that the resulting closed-loop system is ISS with respect to the observer error. Meanwhile, the H∞ performance index is also satisfied. Then, a workable way for solving the exact upper bound is also given. Finally, two numerical examples are given to demonstrate the validity of the developed method.INDEX TERMS Discrete-time singularly perturbed system, observer, state feedback, H∞ control, linear matrix inequality (LMI).

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“…Output feedback control problems have received much attention and a number of research results for nonlinear systems have been reported, eg, in other works . In the work of Choi and Lim, authors proposed an adaptive output feedback control scheme, which can deal with both triangular or feedforward nonlinear systems with unknown linear growth rate in a unified framework for global stabilization.…”

Section: Introductionmentioning

confidence: 99%

Robust observer‐based output feedback controller for nonlinear systems with uncertain triangular and nontriangular nonlinearities and diagonal terms

Choi

2018

Intl J Robust & Nonlinear

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In this paper, we provide a robust observer-based output feedback control scheme for a class of nonlinear systems where there are uncertain triangular and nontriangular nonlinearities, nontrivial diagonal terms, and external disturbance. The presence of diagonal terms is the main generalized feature over the existing results. In order to handle the diagonal terms, there is a gain-scaling factor in the proposed controller. Through the analysis, we show that all states and observer errors of the controlled system remain bounded. Moreover, the ultimate bounds of some states and observer errors can be made (arbitrarily) small by adjusting the gain-scaling factor reflecting on the structure of nonlinearities and external disturbance. The validity of our control scheme is experimentally verified via the ball position control of an electromagnetic levitation system. KEYWORDSdiagonal terms, gain-scaling factor, observer-based output feedback control, triangular and nontriangular nonlinearities, ultimate bounds 1182

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Adaptive quantised observer‐based output feedback control for non‐linear systems with input and output quantisation

Cited by 18 publications

References 39 publications

<i>H</i><sub>&#8734;</sub> Control for Externally Excited Building Structures with Active Mass Damper under Actuator Saturation

<i>H</i><sub>&#8734;</sub> Control for Externally Excited Building Structures with Active Mass Damper under Actuator Saturation

H∞ Control Observer-Based for Discrete-Time Singularly Perturbed Systems With Nonlinear Disturbances

Robust observer‐based output feedback controller for nonlinear systems with uncertain triangular and nontriangular nonlinearities and diagonal terms

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Adaptive quantised observer‐based output feedback control for non‐linear systems with input and output quantisation

Cited by 18 publications

References 39 publications

&lt;i&gt;H&lt;/i&gt;&lt;sub&gt;&amp;#8734;&lt;/sub&gt; Control for Externally Excited Building Structures with Active Mass Damper under Actuator Saturation

&lt;i&gt;H&lt;/i&gt;&lt;sub&gt;&amp;#8734;&lt;/sub&gt; Control for Externally Excited Building Structures with Active Mass Damper under Actuator Saturation

H∞ Control Observer-Based for Discrete-Time Singularly Perturbed Systems With Nonlinear Disturbances

Robust observer‐based output feedback controller for nonlinear systems with uncertain triangular and nontriangular nonlinearities and diagonal terms

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<i>H</i><sub>∞</sub> Control for Externally Excited Building Structures with Active Mass Damper under Actuator Saturation

<i>H</i><sub>∞</sub> Control for Externally Excited Building Structures with Active Mass Damper under Actuator Saturation