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Huiling Xu,Yun Zou,Shengyuan Xu,Lei Guo 대한전기학회 2008 International Journal of Control, Automation, and Vol.6 No.5
This paper considers the problem of robust H∞ control for uncertain 2-D discrete systems in the General Model via output feedback controllers. The parameter uncertainty is assumed to be norm-bounded. The purpose is the design of output feedback controllers such that the closed-loop system is stable while satisfying a prescribed H∞ performance level. In terms of a linear matrix inequality, a sufficient condition for the solvability of the problem is obtained, and an explicit expression of desired output feedback controllers is given. An example is provided to demonstrate the application of the proposed method.
Delay-Dependent Guaranteed Cost Control for Uncertain Neutral Systems with Distributed Delays
Yongmin Li,Shengyuan Xu,Baoyong Zhang,Yuming Chu 대한전기학회 2008 International Journal of Control, Automation, and Vol.6 No.1
This paper considers the problem of delay-dependent guaranteed cost controller design for uncertain neutral systems with distributed delays. The system under consideration is subject to norm-bounded time-varying parametric uncertainty appearing in all the matrices of the state-space model. By constructing appropriate Lyapunov functionals and using matrix inequality techniques, a state feedback controller is designed such that the resulting closed-loop system is not only robustly stable but also guarantees an adequate level of performance for all admissible uncertainties. Furthermore, a convex optimization problem is introduced to minimize a specified cost bound. By matrix transformation techniques, the corresponding optimal guaranteed controller can be obtained by solving a linear matrix inequality. Finally, a simulation example is presented to demonstrate the effectiveness of the proposed approach.
An LMI Approach to Consensus in Second-Order Multi-Agent Systems
Huanyu Zhao,Shengyuan Xu,Deming Yuan 제어·로봇·시스템학회 2011 International Journal of Control, Automation, and Vol.9 No.6
This paper deals with the consensus problem of the second-order multi-agent systems based on linear system theory. By a system transformation, the consensus problem is converted to the stability problem of a linear system. The second-order systems considered include the systems with both the fixed topology and the Markov switching topology. Necessary and sufficient conditions of consensus or mean square consensus are obtained. The results are extended to the cases of the uncertain transition probability rates and time-delay, respectively. Finally, a simulation example is given to show the effectiveness of the presented results.
Actuator Fault Detection for Discrete-time Switched Linear Systems with Output Disturbance
Dongsheng Du,Shengyuan Xu 제어·로봇·시스템학회 2017 International Journal of Control, Automation, and Vol.15 No.6
In this paper, the problem of actuator fault detection for discrete-time switched systems with outputdisturbance is investigated. By using the descriptor observer method, an H∞ fault detection filter is designed toguarantee that the augmented system is admissible and satisfies a prescribed H∞ performance index. By utilizingswitched Lyapunov function approach, a sufficient condition for the admissible of the augmented system is obtained. Based on the obtained results, a desired fault detection filter can be designed. All the results are formulated in theform of linear matrix inequalities. Finally, an example is proposed to illustrate the effectiveness of the developedmethod.
Delay-Dependent H_∞ Control for Jumping Delayed Systems with Two Markov Processes
Hao Shen,Yuming Chu,Shengyuan Xu,Zhengqiang Zhang 제어·로봇·시스템학회 2011 International Journal of Control, Automation, and Vol.9 No.3
This paper addresses the H_∞ control problem for jumping delayed systems with two separable Markov processes. The objective is to design a controller such that the resulting closed-loop system is exponentially mean-square stable with a given decay rate and satisfies a prescribed H_∞ performance level. A decay-rate-dependent condition is obtained for the existence of admissible controllers in term of linear matrix inequalities. Two numerical examples are presented to demonstrate the effectiveness of the proposed method.
Zhongyang Li,Pibin Bing,Shengyuan Xu,Degang Xu,Jianquan Yao 한국광학회 2015 Current Optics and Photonics Vol.19 No.3
Terahertz (THz) wave generation from bulk and periodically poled LiTaO3 (PPLT) with a Cherenkovphase matching scheme is numerically investigated. It is shown that by using the crystal birefringenceof bulk LiTaO3 and a grating vector of PPLT, THz waves can be efficiently generated by differencefrequency generation (DFG) with a Cherenkov phase matching scheme. The frequency tuning characteristicsof the THz wave via varying wavelength of difference frequency waves, phase matching angle, polingperiod of PPLT and working temperature are theoretically analyzed. The parametric gain coefficient inthe low-loss limit and the absorption coefficient of the THz wave during the DFG process in the vicinityof polariton resonances are numerically analyzed. A THz wave can be efficiently generated by utilizingthe giant second order nonlinearities of LiTaO3 in the vicinity of polariton resonances
Delay-Dependent Robust H∞ Control for Uncertain Fuzzy Markovian Jump Systems
Yashun Zhang,Jihui Zhang,Shengyuan Xu 제어·로봇·시스템학회 2009 International Journal of Control, Automation, and Vol.7 No.4
This paper is concerned with the problem of delay-dependent robust H∞ control for uncertain fuzzy Markovian jump systems with time delays. The purpose is to design a mode-dependent state-feedback fuzzy controller such that the closed-loop system is robustly stochastically stable and satisfies an H∞ performance level. By introducing slack matrix variables, a delay-dependent sufficient condition for the solvability of the problem is proposed in terms of linear matrix inequalities. An illustrative example is finally given to show the applicability and effectiveness of the proposed method.
Observer Design for A Class of Uncertain State-Delayed Nonlinear Systems
Junwei Lu,Chunmei Feng,Shengyuan Xu,Yuming Chu 대한전기학회 2006 International Journal of Control, Automation, and Vol.4 No.4
This paper deals with the observer design problem for a class of state-delayed nonlinear systems with or without time-varying norm-bounded parameter uncertainty. The nonlinearities under consideration are assumed to satisfy the global Lipschitz conditions and appear in both the state and measured output equations. The problem we address is the design of a nonlinear observer such that the resulting error system is globally asymptotically stable. For the case when there is no parameter uncertainty, a sufficient condition for the solvability of this problem is derived in terms of linear matrix inequalities and the explicit formula of a desired observer is given. Based on this, the robust observer design problem for the case when parameter uncertainties appear is considered and the solvability condition is also given. Both of the solvability conditions obtained in this paper are delay-dependent. A numerical example is provided to demonstrate the applicability of the proposed approach.