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State-Feedback Control for a Class of Nonlinear Systems with iISS Unmodeled Dynamics

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State-Feedback Control for a Class of Nonlinear Systems with...

2010 Chinese Control and Decision Conference

作者： xue-jun xie~1,Xin Yu~2,na duan~1 1.school of electrical engineering & automation,xuzhou normal university,xuzhou,jiangsu province,221116,china 2.school of automation,Southeast university,nanjing,jiangsu province,210096,china

＜正＞This paper investigates the problem of state-feedback regulation for a class of nonlinear systems with iISS unmodeled *** the backstepping technique and the properties of iISS,we give the design procedure of a state-feedback controller,by appropriately choosing the designed functions and update laws of *** designed controller guarantees that all the signals of the closed-loop system are bounded,and the states can be regulated asymptotically to zero.A simulation example demonstrates the effectiveness of the control scheme.

关键词： Nonlinear systems State-feedback Integral input-to-state stability(iISS) Backstepping

Output-Feedback Control of Stochastic Nonlinear System with Stochastic Inverse Dynamics

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Output-Feedback Control of Stochastic Nonlinear System with ...

2010 Chinese Control and Decision Conference

作者： na duan~1,Xin Yu~2,xue-jun xie~1 1.school of electrical engineering & automation,xuzhou normal university,xuzhou,jiangsu province,221116,china 2.school of automation,Southeast university,nanjing,jiangsu province,210096,china

＜正＞This paper considers a concrete stochastic nonlinear systems with stochastic unmeasurable inverse *** by the concept of integral input-to-state stability（ilSS） in deterministic systems and stochastic input-to-state stability （SISS） in stochastic systems,a concept of stochastic integral input-to-state stability（SiISS） using Lyapunov function is introduced. A constructive strategy is proposed to design a dynamic output-feedback control law,which drives the state to the origin almost surely while keeping all other closed-loop signals almost surely *** last,a simulation is given to verify the effectiveness of the control law.

关键词： Output-feedback SISS SiISS stochastic inverse dynamic stochastic nonlinear systems

Output-Feedback Stabilization for More General Stochastic High-Order Nonlinear Systems

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Output-Feedback Stabilization for More General Stochastic Hi...

2010 Chinese Control and Decision Conference

作者： xue-jun xie~1,Liang Liu~2 1.school of electrical engineering & automation,xuzhou normal university,xuzhou,jiangsu province,221116,china 2.Institute of automation,Qufu normal university,Qufu 273165,china

This paper investigates the problem of output-feedback control for a class of more general stochastic high-order nonlinear systems,which power is a ratio of odd *** extending the adding a power integrator technique,introducing a new rescaling transformation,and choosing an appropriate Lyapunov function,an output-feedback controller is constructed to render the closed-loop system globally asymptotically stable in probability and the output can be regulated to the origin almost surely.A simulation example is provided to show the effectiveness of the design.

关键词： Stochastic high-order nonlinear systems a ratio of odd integers power output-feedback control

Control Effort Reduction in Output-Feedback Stabilization for A Class of Stochastic Nonlinear Systems

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Control Effort Reduction in Output-Feedback Stabilization fo...

第二十七届中国控制会议

作者： duan na1,xie xuejun1,2 1.school of electrical engineering&automation,xuzhou normal university,xuzhou 221116,P.R.china 2.Institute of automation,Qufu normal university,Qufu Shandong 273165,P.R.china

This paper considers a class of stochastic nonlinear systems with linearly bounded unmeasurable states from the viewpoint of reducing the control *** main work consists of the following aspects:（1） By choosing an output-feedback controller with an improved algorithm of choosing critical value for gain parameter,we show that the critical value for gain parameter of observer is smaller than that obtained by the existing work without imposing any additional ***,less control effort and rate of change of the controller are required.（2） The designed output-feedback controller maintains that the closed-loop system is bounded in probability,the equilibrium at the origin is globally asymptotically stable（GAS） in probability.（3） The problem of inverse optimal stabilization in probability is also *** example demonstrates the effectiveness of the control scheme.

关键词： Stochastic nonlinear systems Output-Feedback stabilization Control effort Critical value

Decentralized Output-Feedback for Stochastic Interconnected Systems with Unmodeled Dynamic Interactions

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Decentralized Output-Feedback for Stochastic Interconnected ...

第三十届中国控制会议

作者： YU Xin~1,xie xue-jun~(2,3),WU Yu-Qiang~3 1.school of automation,Southeast university,nanjing 210096,jiangsu province,P.R.china 2.school of electrical engineering and automation,xuzhou normal university,xuzhou 221116,P.R.china 3.Institute of automation,Qufu normal university,Qufu 273165,Shandong province,P.R.china

＜正＞In this paper,we consider the problem of decentralized adaptive output-feedback for stochastic nonlinear interconnected systems with unknown virtual control coefficients and stochastic unmodeled dynamic interactions.A decentralized adaptive output-feedback controller is designed to drive the outputs and states to the origin almost surely.

关键词： Stochastic Interconnected Systems SiISS Unmodeled Dynamics Virtual Control Coefficients

Output-feedback Stabilization for Stochastic High-order Nonlinear Systems with a Ratio of Odd Integers Power

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自动化学报 2010年第6期36卷 858-864页

作者： LIU Liang duan na xie xue-jun school of electrical engineering and automation Xuzhou Normal University Xuzhou 221116 P.R. China Institute of automation Qufu Normal University Qufu 273165 P. R. China

This paper investigates the problem of output-feedback control for a class of stochastic high-order nonlinear systems with a ratio of odd integers power. By extending the adding a power integrator technique, introducing a new rescaling transformation, and choosing an appropriate Lyapunov function,an output-feedback controller is constructed to render the closed-loop system globally asymptotically stable in probability and the output can be regulated to the origin almost surely. Furthermore,we address the problem of inverse optimal stabilization in probability. A simulation example is provided to show the effectiveness of the design

关键词：反馈系统稳定性自动化研究

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An Improved Control Algorithm of High-order Nonlinear Systems

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自动化学报 2008年第10期34卷 1262-1267页

作者： duan na xie xue-jun LIU Hai-Kuan school of electrical engineering and automation Xuzhou Nor-mal University Xuzhou 221116 P.R. China Institute of Au-tomation Qufu Normal University Qufu 273165 P.R. China

这份报纸从在为一个具体例子维持需要的控制性能的前提减少控制努力的观点设计一个改进产量反馈控制器。产量反馈控制器保证全球性由介绍新重新可伸缩的转变，收养一个有效还原剂顺序观察员，并且选机灵的 Lyapunov 功能和适当设计为参... 详细信息

这份报纸从在为一个具体例子维持需要的控制性能的前提减少控制努力的观点设计一个改进产量反馈控制器。产量反馈控制器保证全球性由介绍新重新可伸缩的转变，收养一个有效还原剂顺序观察员，并且选机灵的 Lyapunov 功能和适当设计为参数的靠近环的系统的 asymptotical 稳定性。从理论分析和一个具体例子，同时，为获得参数和重新可伸缩的转变参数的更小的批评价值被获得有效地比相关报纸的设计减少控制努力和控制器的变化的率。

关键词：控制方法计算方法非线性系统自动化系统

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Further results on state feedback stabilization of stochastic high-order nonlinear systems

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Science china(Information Sciences) 2014年第7期57卷 221-234页

作者： xie xuejun ZHAO CongRan duan na Institute of automation Qufu Normal University school of electrical engineering & automation Jiangsu Normal University

In this paper,a combined homogeneous domination and sign function design approach is presented to state feedback control for a class of stochastic high-order nonlinear systems with time-varying *** use of the combined approach relaxes the restriction on nonlinear functions and makes the closed-loop system globally asymptotically stable in probability.

关键词： stochastic high-order nonlinear systems time-varying delay state feedback homogeneous domination method sign function

Robustness Analysis of Discrete-time Indirect Model Reference Adaptive Control with normalized Adaptive Laws

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International Journal of automation and computing 2010年第3期7卷 381-388页

作者： Qing-Zheng Gao xue-jun xie Department of Physics and Information engineering Jining University Qufu 273155 PRC school of electrical engineering and automation Xuzhou Normal University Xuzhou 221116 PRC

For a class of discrete-time systems with unmodeled dynamics and bounded disturbance, the design and analysis of robust indirect model reference adaptive control （MRAC） with normalized adaptive law are investigated. The main work includes three parts. Firstly, it is shown that the constructed parameter estimation algorithm not only possesses the same properties as those of traditional estimation algorithms, but also avoids the possibility of division by zero. Secondly, by establishing a relationship between the plant parameter estimate and the controller parameter estimate, some similar properties of the latter are also established. Thirdly, by using the relationship between the normalizing signal and all the signals of the closed-loop system, and some important mathematical tools on discrete-time systems, as in the continuous-time case, a systematic stability and robustness analysis approach to the discrete indirect robust MRAC scheme is developed rigorously.

关键词： Discrete-time systems model reference adaptive control (MRAC) swapping lemmas stability robustness

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