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【期刊论文】Delay-dependent robust stability criteria for uncertain neutral systems with mixed delays
吴敏, Yong He a, *, Min Wu a, Jin-Hua She b, Guo-Ping Liu c, d
Systems & Control Letters 51(2004)57-65,-0001,():
-1年11月30日
This paper concerns the problem of the delay-dependent robust stability of neutral systems with mixed delays and time-varying structured uncertainties. A new method based on linear matrix inequalities is presented that makes it easy to calculate both the upper stability bounds on the delays and the free weighting matrices. Since the criteria take the sizes of the neutral-and discrete-delays into account, it is less conservative than previous methods. Numerical examples illustrate both the improvement this approach provides over previous methods and the reciprocal in; uences between the neutraland discrete-delays.
Neutral system, Delay-dependent criteria, Robust stability, Time-varying structured uncertainties, Linear matrix inequality
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【期刊论文】On Absolute Stability of Lur'e Control Systems with Multiple Nonlinearities
吴敏, Min Wu , Yong He , Guo-Ping Liu , and Jin-Hua She
European Journal of Control (2005)11: 19-28,-0001,():
-1年11月30日
This paper presents necessary and sufficient conditions for the existence of a Lyapunov function in the Lur'e form that guarantees the absolute stability of a Lur'e control system with multiple nonlinearities. It simplifies the existence problem to one of solving a set of linear matrix inequalities (LMIs). If these inequalities are feasible, the free parameters in the Lyapunov function, such as the positive definite matrix and the coefficients of the integral terms,are given by the solution of the LMIs. Otherwise, there does not exist any Lyapunov function in the Lur'e form. Necessary and sufficient conditions are also obtained for the robust absolute stability of time-varying structured uncertain systems.
Absolute Stability, Linear Matrix Inequality, Lur', e Control Systems, Lyapunov Function, Robustness
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【期刊论文】New Delay-Dependent Stability Criteria and Stabilizing Method for Neutral Systems
吴敏, Min Wu, Yong He, and Jin-Hua She
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, VOL. 49, NO.12, DECEMBER 2004,-0001,():
-1年11月30日
This note concerns delay-dependent robust stability criteria and a design method for stabilizing neutral systems with time-varying structured uncertainties. A new way of deriving such criteria is presented that combines the parameterized model transformation method with a method that takes the relationships between the terms in the Leibniz-Newton formula into account. The relationships are expressed as free weighting matrices obtained by solving linear matrix inequalities. Moreover, the stability criteria are also used to design a stabilizing state-feedbackcontr oller. Numerical examples illustrate the effectiveness of the method and the improvement over some existing methods.
Delay-dependent criterion, linear matrix inequality (, LMI), , neutral system, robust stability, state feedbackstabilizing controller, time-varying structured uncertainties.,
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【期刊论文】Expert control and fault diagnosis of the leaching process in a zinc hydrometallurgy plant☆
吴敏, Min Wu a, *, Jin-Hua She b, Michio Nakano c, Weihua Gui d
Control Engineering Practice 10(2002)433-442,-0001,():
-1年11月30日
This paper concerns a real-world application of an expert system to the automation of a zinc hydrometallurgy plant. The leaching process in zinc hydrometallurgy involves dissolving zinc-bearing material in dilute sulfuric acid to form a zinc sulfate solution. The key problems are to determine and track the optimal pHs of the overflows of the neutral and acid leaches, and to ensure the safe running of the process. This paper describes an expert control and fault diagnosis scheme that solves those problems. The expert control is based on a combination of steady-state mathematical models and rule models, and the fault diagnosis employs rule models with certainty factors and a Bayes representation. A real-world application of this scheme showed that it not only improved the control performance, but also correctly diagnosed faults.
Zinc hydrometallurgy, Leaching process, Expert control, Fault diagnosis, Mathematical models, Rule models
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【期刊论文】Delay-dependent stabilization of linear systems with time-varying state and input delays ☆
吴敏, Xian-Ming Zhang a, b, MinWu a, *, Jin-Hua She c, Yong He a
Automatica 41(2005)1405-1412,-0001,():
-1年11月30日
(t)=Ax(t)+A1x(t −h1(t))+B1u(t)+B2u(t −h2(t)). In this paper, a new integral inequality for quadratic terms is first established. Then, it is used to obtain a new state- and input-delay-dependent criterion that ensures the stability of the closed-loop system with a memoryless state feedback controller. Finally, some numerical examples are presented to demonstrate that control systems designed based onthe criterionare effective, eventhough neither (A,B1) nor (A+A1,B1) is stabilizable.
Input delays, State delays, Delay-dependent stability, Stabilization, Integral inequality, Linear matrix inequality (, LMI),
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