徐胜元
主要从事控制理论及应用的教研工作,在广义系统的鲁棒控制、时滞系统与随机系统的分析与综合、模糊控制、2-D系统及神经网络稳定性分析等方面的研究中取得了一系列创见性的研究成果
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- 姓名:徐胜元
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学术头衔:
博士生导师, 国家杰出青年科学基金获得者, 教育部“新世纪优秀人才支持计划”入选者,
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学科领域:
控制理论
- 研究兴趣:主要从事控制理论及应用的教研工作,在广义系统的鲁棒控制、时滞系统与随机系统的分析与综合、模糊控制、2-D系统及神经网络稳定性分析等方面的研究中取得了一系列创见性的研究成果
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13
【期刊论文】Improved Delay-Dependent Stability Criteria for Time-Delay Systems
徐胜元, Shengyuan Xu, James Lam
IEEE TRANSACTIONS ON AUTOMATIC CONTROL VOL.50 NO.3(2005)384-387,-0001,():
-1年11月30日
This note provides an improved asymptotic stability condition for time-delay systems in terms of a strict linear matrix inequality.Unlike previous methods, the mathematical development avoids bounding certain cross terms which often leads to conservatism. When time-varying norm-bounded uncertainties appear in a delay system, an improved robust delay-dependent stability condition is also given. Examples are provided to demonstrate the reduced conservatism of the proposed conditions.
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【期刊论文】Robust H∞ Filtering for Uncertain 2-D Continuous Systems
徐胜元, Shengyuan Xu, James Lam, Senior Member, IEEE, Yun Zou, Zhiping Lin, and Wojciech Paszke
IEEE TRANSACTIONS ON SIGNAL PROCESSING VOL.53 NO.5(2005)1731-1738,-0001,():
-1年11月30日
This paper considers the problem of robust H∞ filtering for uncertain two-dimensional (2-D) continuous systems described by the Roesser state-space model. The parameter uncertainties are assumed to be norm-bounded in both the state and measurement equations. The purpose is the design of a 2-D continuous filter such that for all admissible uncertainties, the error system is asymptotically stable, and the H∞ norm of the transfer function, from the noise signal to the estimation error, is below a prespecified level. A sufficient condition for the existence of such filters is obtained in terms of a set of linear matrix inequalities (LMIs). When these LMIs are feasible, an explicit expression of a desired H∞ filter is given. Finally, a simulation example is provided to demonstrate the effectiveness of the proposed method
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徐胜元, Shengyuan Xu, James Lam
IEEE TRANSACTIONS ON FUZZY SYSTEMS VOL.13 NO.1(2005)82-93,-0001,():
-1年11月30日
This paper investigates the problem of robust output feedback H∞ control for a class of uncertain discrete-time fuzzy systems with time delays. The state-space Takagi–Sugeno fuzzy model with time delays and norm-bounded parameter uncertainties is adopted. The purpose is the design of a full-order fuzzy dynamic output feedback controller which ensures the robust asymptotic stability of the closed-loop system and guarantees an H∞ norm bound constraint on disturbance attenuation for all admissible uncertainties. In terms of linear matrix inequalities (LMIs), a sufficient condition for the solvability of this problem is presented. Explicit expressions of a desired output feedback controller are proposed when the given LMIs are feasible. The effectiveness and the applicability of the proposed design approach are demonstrated by applying this to the problem of robust H∞ control for a class of uncertain nonlinear discrete delay systems.
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【期刊论文】A Delay-Dependent Approach to Robust H∞ Filtering for Uncertain Distributed Delay Systems
徐胜元, Shengyuan Xu, James Lam, Senior Member, IEEE, Tongwen Chen, and Yun Zou
IEEE TRANSACTIONS ON SIGNAL PROCESSING,VOL.53 NO.10(2005)3764-3772,-0001,():
-1年11月30日
This paper is concerned with the problem of robust H∞ filtering for linear systems with both discrete and distributed delays, which are subject to norm-bounded time-varying parameter uncertainties. Both the state and measurement equations are assumed to have discrete and distributed delays. A delay-dependent condition for the existence of H∞ filters is proposed, which is less conservative than existing ones in the literature. Via solutions to certain linear matrix inequalities, general full-order filters are designed that ensure asymptotic stability and a prescribed H∞ performance level, irrespective of the parameter uncertainties. An illustrative example is provided to demonstrate the effectiveness and the reduced conservatism of the proposed method.
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【期刊论文】H∞ output feedback control for uncertain stochastic systems with time-varying delays✩
徐胜元, Shengyuan Xu a, Tongwen Chen b, ∗
Automatica 40(2004)2091-2098,-0001,():
-1年11月30日
This paper deals with the problem of H∞ output feedback control for uncertain stochastic systems with time-varying delays. The parameter uncertainties are assumed to be time-varying norm-bounded. The aim is the design of a full-order dynamic output feedback controller ensuring robust exponential mean-square stability and a prescribed H∞ performance level for the resulting closed-loop system, irrespective of the uncertainties. A sufficient condition for the existence of such an output feedback controller is obtained and the expression of desired controllers is given
Exponentially mean square stable, Output feedback, Robust H∞ control, Stochastic systems, Uncertain time-delay systems
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徐胜元, Shengyuan Xu, James Lam
IEEE TRANSACTIONS ON AUTOMATIC CONTROL VOL.49 NO.4(2004)568-574,-0001,():
-1年11月30日
This note deals with the problems of robust stability and stabilization for uncertain discrete-time singular systems. The parameter uncertainties are assumed to be time-invariant and norm-bounded appearing in both the state and input matrices. A new necessary and sufficient condition for a discrete-time singular system to be regular, causal and stable is proposed in terms of a strict linear matrix inequality (LMI). Based on this, the concepts of generalized quadratic stability and generalized quadratic stabilization for uncertain discrete-time singular systems are introduced. Necessary and sufficient conditions for generalized quadratic stability and generalized quadratic stabilization are obtained in terms of a strict LMI and a set of matrix inequalities, respectively.With these conditions, the problems of robust stability and robust stabilization are solved. An explicit expression of a desired state feedback controller is also given, which involves no matrix decomposition. Finally, an illustrative example is provided to demonstrate the applicability of the proposed approach.
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【期刊论文】Global robust exponential stability analysis for interval recurrent neural networks✩
徐胜元, Shengyuan Xu a, James Lam b, ∗, Daniel W.C. Ho c, Yun Zou a
Physics Letters A 325(2004)124-133,-0001,():
-1年11月30日
This Letter investigates the problem of robust global exponential stability analysis for interval recurrent neural networks (RNNs) via the linear matrix inequality (LMI) approach. The values of the time-invariant uncertain parameters are assumed to be bounded within given compact sets. An improved condition for the existence of a unique equilibrium point and its global exponential stability of RNNs with known parameters is proposed. Based on this, a sufficient condition for the global robust exponential stability for interval RNNs is obtained. Both of the conditions are expressed in terms of LMIs, which can be checked easily by various recently developed convex optimization algorithms. Examples are provided to demonstrate the reduced conservatism of the proposed exponential stability condition.
Recurrent neural networks, Global exponential stability, Interval systems, Linear matrix inequality
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徐胜元, Shengyuan Xu, James Lam, Senior Member, IEEE
IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS—I: REGULAR PAPERS VOL.51 NO.9(2004)1897-1905,-0001,():
-1年11月30日
This paper deals with the problems of positive real (PR) analysis and PR control for uncertain discrete-time descriptor systems. The parameter uncertainties are assumed to be time-invariant norm bounded and appear in both the state and input matrices. A new necessary and sufficient condition for a discrete-time descriptor system to be regular, causal, stable and extended strictly PR (ESPR) is proposed in terms of a strict linear matrix inequality. Based on this, the concepts of strong robust admissibility with ESPR and strong robust admissibilizability with ESPR were introduced. Without any additional assumptions on the system matrices, necessary and sufficient conditions for strong robust admissibility with ESPR and strong robust admissibilizability with ESPR are obtained. Through these results, the problems of PR analysis and PR control are solved. Furthermore, an explicit expression of a desired state feedback controller is also given, which involves no decomposition of the system matrices.
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【期刊论文】Robust H∞ Filtering for Uncertain Markovian Jump Systems With Mode-Dependent Time Delays
徐胜元, Shengyuan Xu, Tongwen Chen, James Lam
IEEE TRANSACTIONS ON AUTOMATIC CONTROL VOL.48 NO.5(2003)900-907,-0001,():
-1年11月30日
This note considers the problem of robust H∞ filtering for uncertain Markovian jump linear systems with time-delays which are timevarying and depend on the system mode. The parameter uncertainties are time-varying norm-bounded. The aim of this problem is to design a Markovian jump linear filter that ensures robust exponential mean-square stability of the filtering error system and a prescribed L2-induced gain from the noise signals to the estimation error, for all admissible uncertainties. A sufficient condition for the solvability of this problem is obtained. The desired filter can be constructed by solving a set of linear matrix inequalities. An illustrative numerical example is provided to demonstrate the effectiveness of the proposed approach.
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【期刊论文】 H∞ Filtering for Singular Systems
徐胜元, Shengyuan Xu, James Lam, Yun Zou
IEEE TRANSACTIONS ON AUTOMATIC CONTROL VOL.48 NO.12(2003)2217-2222,-0001,():
-1年11月30日
This note considers the H∞ filtering problem for linear continuous singular systems. The purpose is the design of a linear filter such that the resulting error system is regular, impulse-free and stable while the closed-loop transfer function from the disturbance to the filtering error output satisfies a prescribed H∞-norm bound constraint.Without decomposing the original system matrices, a necessary and sufficient condition for the solvability of this problem is obtained in terms of a set of linear matrix inequalities (LMIs). When these LMIs are feasible, an explicit expression of a desired filter is given. Finally, an illustrative example is presented to demonstrate the applicability of the proposed approach.
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