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Xiaomin Tian,Shumin Fei,Lin Chai 보안공학연구지원센터 2014 International Journal of Hybrid Information Techno Vol.7 No.6
This paper proposes a novel sliding mode control (SMC) scheme to stabilize a class of fractional-order chaotic systems. Through constructing two sliding mode variables, the control problem of n-dimensional system can be transformed to the equivalent stabilizing problem of a reduced-order system. Subsequently, on the basis of second-order sliding mode (SOSM) technique, a robust control law is designed, which strongly attenuates the chattering phenomenon inherent in traditional sliding mode controller, and guarantees the existence of sliding motion in a finite time. The stability of two sliding mode variables to the origin is proved by conventional and fractional Lyapunov theories, respectively. Finally, two numerical examples are provided to illustrate the effectiveness of the proposed approach.
Xiaomin Tian,Shumin Fei,Lin Chai 보안공학연구지원센터 2015 International Journal of Multimedia and Ubiquitous Vol.10 No.4
A modified second-order sliding mode (SOSM) control scheme is developed to synchronize two different fractional order hyperchaotic systems. On the basis of chattering free SOSM control scheme, a special fractional sliding mode surface is firstly proposed. Subsequently, a robust control law is designed to ensure the occurrence of sliding mode in a given time. This control scheme is rigorously proved by Lyapunov stability theory. Finally, a numerical example is given to illustrate the effectiveness of the proposed synchronization approach.
RBF Neural Networks-Based Robust Adaptive Tracking Control for Switched Uncertain Nonlinear Systems
Lei Yu,Shumin Fei,Xun Li 제어·로봇·시스템학회 2012 International Journal of Control, Automation, and Vol.10 No.2
In this paper, a robust adaptive H∞ control scheme is presented for a class of switched uncertain nonlinear systems. Radical basis function neural networks (RBF NNs) are employed to approximate unknown nonlinear functions and uncertain terms. A robust H∞ controller is designed to enhance robustness due to the existence of the compound disturbance which consists of approximation errors of the neural networks and external disturbance. Adaptive neural updated laws and switching signals are deducted from multiple Lyapunov function approach. It is proved that with the proposed control scheme, the resulting closed-loop switched system is robustly stable and uniformly ultimately bounded (UUB) such that good capabilities of tracking performance is attained and H∞ tracking error performance index is achieved. A practical example shows the effectiveness of the proposed control scheme.
Impulsive Controller Design for Singular Networked Control Systems with Packet Dropouts
Xianlin Zhao,Shumin Fei,Changyin Sun 제어·로봇·시스템학회 2009 International Journal of Control, Automation, and Vol.7 No.6
This paper considers the problem of impulsive time-delay control for singular networked impulsive control systems(SNICSs) and uncertain SNICSs both with network-induced delay and packet dropouts. The parameter uncertainty is assumed to be norm bounded. The problem to be addressed is the design of robust impulsive time-delay feedback controllers such that the exponential stability of the resulting closed-loop system is guaranteed for admissible uncertainties. By applying Lyapunov function theory and Halanay Lemma, impulsive time-delay controller is derived through solving LMIs. Numerical examples are provided to demonstrate the application of the proposed method.
Yunpeng Zhan,Ruihua Wang,Shumin Fei 제어·로봇·시스템학회 2024 International Journal of Control, Automation, and Vol.22 No.2
The work proposes a multiple convex Lyapunov function and an inverse weighted switching scheme to investigate the finite-time stability and finite-time boundedness for a class of discrete-time switched linear systems with partial finite-time unstable modes. A multiple convex Lyapunov function is put forth by constructing a convex combination of positive definite matrices, which can relax the restricted conditions of the Lyapunov function and make it carry more decision variables than traditional Lyapunov function methods. Besides, the inverse weighted switching scheme is devised by summing the reciprocal of each dwell time with weighting coefficients, by which tighter dwell time bounds are ensured. On the basis of the new Lyapunov function and switching scheme, the finitetime control for a class of switched linear systems with partial finite-time unstable modes is addressed. Different from other researches that require all subsystems to be controllable, we only require the existence of one controllable subsystem. In the end, two numerical examples and a tunnel diode circuit example are provided to verify the effectiveness of the developed results.
Optimal Timing Control of Discrete-Time Linear Switched Stochastic Systems
Xiaomei Liu,Kanjian Zhang,Shumin Fei,Haikun Wei,Shengtao Li 제어·로봇·시스템학회 2014 International Journal of Control, Automation, and Vol.12 No.4
Optimal switch-time control is the study that investigates how best to switch between different modes. In this paper, we investigate the optimal switch-time control problem for discrete-time linear switched stochastic systems. In particular, under the assumption that the sequence of active subsystems is pre-specified, we focus on the problem where the objective is to minimize a cost functional defined on the states and the switching times are the only control variables. For systems with one switching time, using calculus of variations, we firstly derive the difference formulae of the cost functional with respect to the switching time, which can be directly used to find the optimal switching instant. Then, a method is presented to deal with the problem with multiple switching times case. Finally, the viability of the proposed method is illustrated through two numerical examples.
Wenting Zha,Junyong Zhai,Shumin Fei 제어·로봇·시스템학회 2017 International Journal of Control, Automation, and Vol.15 No.3
This paper addresses the global adaptive control problem for a class of uncertain stochastic nonlinearsystems in the output-feedback form. Due to the unknown output gain, we construct a full-order homogeneousobserver instead of using the system output. Then, by adding a power integrator technique, an output-feedbackcontroller is designed, as well as an adaptive law to deal with the unknown nonlinear growth rates. Based on thegeneralized stochastic Lyapunov stability theorem, it can be proved that all the signals of the closed-loop systemare bounded in probability, and the system states converge to the origin almost surely.
Exponential Synchronization for Arrays of Coupled Neural Networks with Time-delay Couplings
Tao Li,Ting Wang,Ai-guo Song,Shumin Fei 제어·로봇·시스템학회 2011 International Journal of Control, Automation, and Vol.9 No.1
This paper deals with global exponential synchronization in arrays of coupled delayed neural networks with both delayed coupling and one single delayed one. Through employing Kronecker product and convex combination technique, two novel synchronization criteria are presented in terms of linear ma-trix inequalities (LMIs), and these conditions are dependent on the bounds of both time-delay and its derivative. Through employing Matlab LMI Toolbox and adjusting some matrix parameters in the derived results, we can realize the design and applications of the addressed systems, which shows that our methods improve and extend those reported methods. The efficiency and applicability of the proposed results can be demonstrated by three numerical examples with simulations.
Resilient Tracking Control for Unmanned Helicopter Under Variable Disturbance and Input Perturbation
Linbo Chen,Tao Li,Zehui Mao,Shumin Fei 제어·로봇·시스템학회 2022 International Journal of Control, Automation, and Vol.20 No.1
In this work, by utilizing a disturbance observer-based control (DOBC) method, the resilient tracking control is studied for the unmanned aerial helicopter (UAH) with paramteter uncertainty, multiple disturbances, and input perturbation. Firstly, a state observer and two disturbance observers are respectively constructed to estimate the unmeasurable flapping motion states and outside disturbances, which are further utilized to design the feedforward controller. Secondly, by considering stochastic perturbation, a resilient feedback controller is proposed and an overall closed-loop error system is established. Thirdly, based on stochastic control theory and robust control method, a sufficient condition is obtained to guarantee the asymptotical stability and H∞ performance index for the closed-loop error system. Furthermore, the observer gains and controller one can be jointly checked by solving the derived linear matrix inequality (LMI). Finally, some simulations are presented to verify the effectiveness of the derived control method.
Improved Stability Conditions for Systems with Interval Time-Varying Delay
Wei Qian,Shen Cong,Tao Li,Shumin Fei 제어·로봇·시스템학회 2012 International Journal of Control, Automation, and Vol.10 No.6
The paper is concerned with the stability of linear systems with interval time-varying delay. Through constructing a new augmented Lyapunov-Krasovskii functional (LKF) which contains some quadruple-integral terms and estimating the time derivative of the LKF less conservatively, new stabil-ity criteria are derived without introducing any free matrices. Moreover, by proving the positive defi-niteness of the LKF with some integral inequalities, the constraints on some functional parameters are relaxed and the conservatism of the obtained results are further reduced. Numerical examples are also given to demonstrate the effectiveness and reduced conservatism of the obtained results.