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A NUMERICAL METHOD ON ESTIMATION OF stable regionS OF ROTOR SYSTEMS SUPPORTED ON LUBRICATED BEARINGS

Applied Mathematics and Mechanics(English Edition) 2002年第10期23卷 1115-1121页

作者： ZHENG Hui-ping(郑惠萍) CHEN Yu-shu(陈予恕) School of Mechanical Engineering Tianjin University Tianjin 300072 P R China School of Mechanical Engineering Tianjin University Tianjin 300072 P R China

The stability degree of periodic solution of nonlinear nonautonomous system was defined by means of the Floquet theory. A method evaluating the stability degree of periodic solution based on transient response was presented by the aid of the concept of dynamic,systems or flows. The critical value of a system was determined by the condition, i.e., its stability degree equals zero. stable regions of rotor systems with balanced and unbalanced disk supported on lubricated bearings were calculated. The study shows that stable region decreases with the increase of speed for a balanced rotor system and decreases with the increase of unbalance for an unbalanced rotor system. stable regions of periodic solutions are less than that of equilibrium points under the same systematic conditions.

关键词： nonlinear rotor system stability degree bifurcation stable region

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Real-Time nonlinear predictive controller design for drive-by-wire vehicle lateral stability with dynamic boundary conditions

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Fundamental Research 2022年第1期2卷 131-143页

作者： Xiyue Zhang Ping Wang Jiamei Lin Hong Chen Jinlong Hong Lin Zhang State Key Laboratory of Automotive Simulation and Control Jilin University Changchun 130025China The Department of Control Science and Engineering School of Communication EngineeringJilin UniversityChangchun 130025China College of Electronics and Information Engineering Tongji UniversityShanghai201804China The Postdoctoral Station of Mechanical Engineering School of Automotive StudiesTongji UniversityShanghai201804China

Due to flexible drive-by-wire technology,vehicle stability control can improve handling and lateral stability under extreme ***,this technology can also increase the probability of random transmission *** paper proposes a nonlinear model predictive control(NMPC)strategy to improve vehicle stability and compensate for the random time ***,by combining the nonlinear dynamic characteristics and driver behavior,we obtain a stable region of the yaw rate and the sideslip angle under complex driving ***,an NMPC controller is designed to track the reference values in the identified stable region to improve the handling and lateral ***,the actuator receives the optimized control sequence and compensates for the random time delay of the transmission ***/Simulink simulation and hardware-in-the-loop experiment results show that the proposed controller with dynamic boundary conditions can better track the expected value of the yaw rate and suppress the sideslip angle under low adhesion road conditions.

关键词： Nonlinear model predictive control stable region Random time delay Delay compensator Vehicle stability control

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Parameter tuning of fractional-order PDμ controllers based on bacterial foraging -particle swarm optimization algorithm

Parameter tuning of fractional-order PDμ controllers based ...

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第25届中国控制与决策会议

作者： DONG Lei SHAN Bo GAO Zhe LIAO Xiaozhong School of Automation Beijing Institute of Technology Light Industry College Liaoning University

ISBN: (纸本)9781467355339

An improved bacterial foraging-particle swarm optimization algrithm（BF-PSO） is proposed to tune parameters of fractional-order PDμ controllers for fractional-order systems with time-delays. Firstly, parameters are initialized based on the sta- ble regions determined by the analytical method, overcoming the defect of uncertainty stable region by Ziegler-Nichols method. Moreover, the convergence and divergence operator is used to replace the elimination stage of BF-PSO, enhancing the efficiency and accuracy of search. Finally, the simulation results are analyzed to verify the effectiveness of this improved BF-PSO method.

关键词： BF-PSO fractional-order systems stable region PDμ controllers

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Asymptotic Behavior of Nonlinear Parabolic Partial Functional Differential Equations

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Journal of Mathematical Research and Exposition 2003年第3期23卷 449-455页

作者：李树勇徐道义西安交通大学理学院四川大学数学系四川成都610064

This paper is devoted to the investigation of the asymptotic behavior for a class of nonlinear parabolic partial functional differential equations. The boundedness and stability of the solutions are established by the upper-lower solution method. Some conditions are obtained by using the semigroup theory, the properties of nonnegative matrices and the techniques of inequalities to determine the asymptotically stable region of the equilibrium.

关键词： stable region boundedness upper-lower solution.

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region Stability Analysis for Switched Nonlinear Systems with Multiple Equilibria

Region Stability Analysis for Switched Nonlinear Systems wit...

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第三十届中国控制会议

作者： GUO Rongwei~(1,2),WANG Yuzhen~1 1.School of Control Science and Engineering,Shandong University,Jinan 250061,P.R.China 2.School of Science,Shandong Polytechnic University,Jinan 250353,P.R.China

＜正＞This paper investigates the region stability for switched nonlinear systems whose subsystems have different equilibria, which are referred to multi-equilibrium switched nonlinear systems,and proposes a number of new results on the region stability *** investigating the dynamical behavior of the multi-equilibrium switched system,a Common Lyapunov-like （CL-like） function method and a Multiple Lyapunov-like（ML-like） function method are established for the region stability,based on which several new approaches to the region stability analysis are then *** is shown that the main results obtained in this paper not only guarantee the region stability of the multi-equilibrium switched nonlinear system under arbitrary switching, but also provide several new methods to determine the corresponding stable ***,several illustrative examples with numerical simulations are studied by using the results obtained in this *** of examples shows that our analysis methods work very well in analyzing the region stability of some classes of multi-equilibrium switched linear systems.

关键词： Multi-equilibrium switched system region stability stable region Common Lyapunov-like function Multi Lyapunov-like function

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region Stability Analysis for Switched Linear Systems with Multiple Equilibria

Region Stability Analysis for Switched Linear Systems with M...

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第二十九届中国控制会议

作者： GUO Rongwei1,2,WANG Yuzhen1 1.School of Control Science and Engineering,Shandong University,Jinan 250061,P.R.China 2.School of Mathematics and Physics,Shandong Institute of Light Industry,Jinan 250353,P.R.China

This paper investigates the region stability for switched linear systems whose subsystems have different equilibria,which are referred to multi-equilibrium switched linear systems,and proposes a number of new results on the region stability *** investigating the dynamical behavior of the multi-equilibrium switched system,a Common Lyapunov-like（CL-like）function method is established for the region stability,based on which several new approaches to the region stability analysis are then *** is shown that the main results obtained in this paper not only guarantee the region stability of the multi-equilibrium switched linear system under arbitrary switching,but also provide several new methods to determine the corresponding stable ***,several illustrative examples with numerical simulations are studied by using the results obtained in this *** of examples shows that our analysis methods work very well in analyzing the region stability of some classes of multi-equilibrium switched linear systems.

关键词： Multi-equilibrium Switched System region Stability stable region Common Lyapunov-like Function

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Improved Event-Triggered Stabilization for Discrete-Time Systems with Unsymmetrical Saturated Control

Improved Event-Triggered Stabilization for Discrete-Time Sys...

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第32届中国控制与决策会议

作者： Yuan Zhou Dedong Yang Hongchao Li Jiao Liu School of Artificial Intelligence Hebei University of Technology Control Engineering Technology Research Center of Hebei Province

In this paper,a controller design for discrete-time systems with unsymmetrical actuator saturation is presented with the utilizing of an improved event-triggered *** a complex nonlinearity,unsymmetrical actuator saturation exists in a large amount of systems,which is more general in *** stability of the closed-loop system may be destroyed by the constraint of ***-triggered control has been proposed to reduce the communication *** event-triggered condition is designed by the involvement of the positive and negative saturation levels,which has higher degrees of freedom than general relative triggering *** contractive invariant set for the underlying system is estimated as the stable region,which is determined by solving an optimization *** the final section of the paper,a simulation example is given to illustrate the results.

关键词： Event-triggered control Unsymmetrical actuator saturation stable region Optimization problem

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