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第25届中国控制与决策会议

作者： Hui Wang Xiuhong Wang Zhenguang Yang Wuquan Li School of Mathematics and Information Ludong University

ISBN: (纸本)9781467355339

For a class of large-scale high-order stochastic nonlinear systems which are neither necessarily feedback linearizable nor affine in the control input, this paper investigates the decentralized stabilization for the first time. Under some moderate assumptions, a smooth decentralized state-feedback controller is designed, which ensures that the equilibrium at the origin of the closed-loop system is globally asymptotically stable （GAS） in probability, and the states can be regulated to the origin almost surely. The efficiency of the control scheme is demonstrated by a simulation example.

关键词： High-order stochastic nonlinear systems state-feedback Stabilization

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state-feedback Stabilization Control Design for a Class of Time-Delay High-Order Nonlinear Systems

State-Feedback Stabilization Control Design for a Class of T...

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第三十届中国控制会议

作者： SUN Zongyao~1,LIU Yungang~2 1.Institute of Automation,Qufu Normal University,Qufu 273165,P.R.China 2.School of Control Science and Engineering,Shandong University,Jinan 250061,P.R.China

＜正＞The stabilization problem is investigated for a class of time-delay high-order nonlinear *** the flexible way of adding a power integrator,the recursive design procedure of a continuous state-feedback controller is derived,and globally asymptotic stability of the resulting closed-loop system is proven with the aid of the delicate construction of an appropriate Lyapunov-Krasovskii ***,a simulation example is given to illustrate the correctness of the theoretical result.

关键词： Time-Delay High-Order Nonlinear Systems Adding a Power Integrator Lyapunov-Krasovskii Functional state-feedback

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state-feedback Based Fuzzy Control Design for Discrete-Time Interval Type-2 Fuzzy Bilinear Delay Systems

State-Feedback Based Fuzzy Control Design for Discrete-Time ...

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第三十九届中国控制会议

作者： Lin Li Jiangrong Li Chenfei Mao College of Mathematics and Computer Science Yanan University

In this paper, we consider the fuzzy bilinear state-feedback control problem of discrete-time interval type-2 fuzzy bilinear systems with constant delay. First, considering the uncertainties in the membership functions, the nonlinear system are modeled into the interval type-2 fuzzy bilinear systems. Second, based on the Lyapunov stability theory,an interval type-2 fuzzy state-feedback control criterion is proposed to guarantee the interval type-2 fuzzy closed-loop bilinear system to be stable. The fuzzy controller can be obtained by using sequential linear programming matrix ***, one example is introduced to demonstrate the effectiveness of the results.

关键词： Interval type-2 fuzzy systems bilinear systems state-feedback

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state-feedback Control for a Class of Nonlinear Systems with iISS Unmodeled Dynamics

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

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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

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Generalized electro-biothermo-fluidic and dynamicalmodeling of cancer growth: state-feedback controlled cesium therapy approach

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Journal of Biomedical Science and Engineering 2011年第9期4卷 569-582页

作者： Murad Al-Shibli College Requirement Unit Abu Dhabi Polytechnic Institute of Applied Technology

This paper develops a generalized dynamical model to describe the interactive dynamics between normal cells, tumor cells, immune cells, drug therapy, electromagnetic field of the human cells, extracellular heat and fluid transfer, and intercellular fractional mass of Oxygen, cell acidity and Pancreatin enzyme. The overall dynamics stability, controllability and observability have been investigated. Moreover, Cesium therapy is considered as a control input to the 11-dimensional dynamics using state-feedback controlled system and pole placement technique. This approach is found to be effective in driving the desired rate of tumor cell kill and converging the system to healthy equilibrium state. Furthermore, the ranges of the system dynamics parameters which lead to instability and growth of tumor cells have been identified. Finally, simulation results are demonstrated to verify the effectiveness of the applied approach which can be implemented successfully to cancer patients.

关键词： Cancer Tumor Growth Tumor Dynamics and Modeling Immune System Cesium Therapy state-feedback Control Pole Placement

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Chaotifying a stable linear controllable system by single input state feedback

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Chinese Physics B 2007年第5期16卷 1258-1262页

作者：吴峥茂卢俊国谢剑英 Department of Automation Shanghai Jiaotong University Shanghai 200030 China

In this paper, an approach for chaotifying a stable controllable linear system via single input state-feedback is presented. The overflow function of the system states is designed as the feedback controller, which can make the fixed point of the closed-loop system to be a snap-back repeller, thereby yields chaotic dynamics. Based on the Marotto theorem, it proves theoretically that the closed-loop system is chaotic in the sense of Li and Yorke. Finally, the simulation results are used to illustrate the effectiveness of the proposed method.

关键词： chaotification overflow function Marotto theorem state-feedback

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Finite-time Sliding Mode Control Design for a Class of Uncertain Conic Nonlinear Systems

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IEEE/CAA Journal of Automatica Sinica 2017年第4期4卷 809-816页

作者： Shuping He Jun Song School of Electrical Engineering and Automation Anhui UniversityHefei 230601China

This paper studies the sliding mode controller design problems for a class of nonlinear system. The nonlinear function is considered to satisfy conic-type constraint condition. A novel finite-time boundedness(FTB) based sliding mode controller design theory is proposed. And then a sufficient condition is obtained in terms of linear matrix inequalities(LMIs), which guarantees the resulted sliding mode dynamics to be FTB wrt some predefined scalars. Thereafter, a FTB-based sliding mode control(SMC) law is synthesized to ensure the state of the controlled system is driven into a novel desired switching surface s(t) = c(c is a constant) in a finite time. Simulation results illustrate the validity of the proposed FTB-based SMC design theory.

关键词： Conic nonlinear system finite-time boundedness(FTB) sliding mode control(SMC) state-feedback

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Event-triggered Guaranteed Cost Control for Uncertain Switched Linear Systems

Event-triggered Guaranteed Cost Control for Uncertain Switch...

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第36届中国控制会议

作者： Yiwen Qi Yanhui Liu Pengyu Zeng School of Automation Shenyang Aerospace University

ISBN: (纸本)9781538629185

This paper studies the guaranteed cost state-feedback control for uncertain switched linear systems with an eventtriggering strategy. With the proposed event-triggering strategy, the system state can be sampled and updated only when a defined error exceeds a given threshold, which is very different from the traditional periodic sampling. More specifically, first,sufficient conditions for the stability and guaranteed cost performance of the resulting event-triggered switched closed-loop system are derived by utilizing the average dwell time method and linear matrix inequalities（LMIs） technique. A certain upper bound of the guaranteed cost against the system uncertainties is obtained. Subsequently, another set of sufficient conditions are presented for solving the event-triggered guaranteed cost state-feedback controllers. Furthermore, the Zeno behavior is discussed by presenting a positive lower bound estimation on the inter-execution intervals. Finally, numerical simulations are provided to demonstrate the effectiveness of the proposed approach.

关键词： Uncertain switched linear systems event-triggering strategy guaranteed cost state-feedback average dwell time

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