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Robust Optimal h_∞ control for Uncertain 2-D Discrete State-Delayed Systems Described by the General Model

Journal of Signal and Information Processing 2016年第2期7卷 78-114页

作者： Arun Kumar Singh Amit Dhawan Department of Electronics and Communication Engineering Motilal Nehru National Institute of Technology Allahabad India

This paper investigates the problem of robust optimal h∞ control for uncertain two-dimensional (2-D) discrete state-delayed systems described by the general model (GM) with norm-bounded uncertainties. A sufficient condition for the existence of g-suboptimal robust hsub>sub>sub>sub>sub>∞sub> state feedback controllers is established, based on linear matrix inequality (LMI) approach. Moreover, a convex optimization problem is developed to design a robust optimal state feedback controller which minimizes the hsub>sub>sub>sub>sub>sub>sub>∞sub> noise attenuation level of the resulting closed-loop system. Finally, two illustrative examples are given to demonstrate the effectiveness of the proposed method.

关键词： 2-D Discrete Systems General Model h∞ control Linear Matrix Inequality State Feedback Uncertain System

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Delay-Dependent Robust h_∞ control for Uncertain 2-D Discrete State Delay Systems Described by the General Model

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Circuits and Systems 2016年第11期7卷 3645-3669页

作者： Arun Kumar Singh Akshata Tandon Amit Dhawan Department of Electronics and Communication Engineering Motilal Nehru National Institute of Technology Allahabad India

This paper considers the problem of delay-dependent robust optimal h∞ control for a class of uncertain two-dimensional (2-D) discrete state delay systems described by the general model (GM). The parameter uncertainties are assumed to be norm-bounded. A linear matrix inequality (LMI)-based sufficient condition for the existence of delay-dependent g-suboptimal state feedback robust h∞ controllers which guarantees not only the asymptotic stability of the closed-loop system, but also the hsub>∞sub> noise attenuation g over all admissible parameter uncertainties is established. Furthermore, a convex optimization problem is formulated to design a delay-dependent state feedback robust optimal h∞ controller which minimizes the hsub>∞sub> noise attenuation g of the closed-loop system. Finally, an illustrative example is provided to demonstrate the effectiveness of the proposed method.

关键词： 2-D Discrete System General Model h∞ control Linear Matrix Inequality State Delays Uncertain System

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h<sub>∞sub> control for Externally Excited Building Structures with Active Mass Damper under Actuator Saturation

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Open Journal of Applied Sciences 2023年第11期13卷 1951-1966页

作者： Shulong Wei Yuanguang Zheng School of Mathematics and Information Science Nanchang Hangkong University Nanchang China

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.

关键词： Structural Vibration Active Mass Damper h∞ control controller Saturation Linear Matrix Inequality

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