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一类Boussinesq方程Cauchy问题的整体解 被引量:5
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作者 王颖 胡青龙 赖绍永 《四川师范大学学报(自然科学版)》 CAS CSCD 2003年第1期20-22,共3页
研究如下带阻尼Boussinesq方程初值问题utt-2butxx=-αuxxxx+uxx+β(f(u))xx,u(x,0)=εφ(x),ut(x,0)=εψ(x)的整体解的存在性.其中x∈(-∞,+∞),α、β是正常数,β是实数,ε是小参数,f∈C∞.当α>b2时,得到了文献(DifferentialandI... 研究如下带阻尼Boussinesq方程初值问题utt-2butxx=-αuxxxx+uxx+β(f(u))xx,u(x,0)=εφ(x),ut(x,0)=εψ(x)的整体解的存在性.其中x∈(-∞,+∞),α、β是正常数,β是实数,ε是小参数,f∈C∞.当α>b2时,得到了文献(DifferentialandIntegralEquations,1996,9(3):619~634.)的适定性理论. 展开更多
关键词 CAUCHY问题 BOUSSINESQ方程 初值问题 整体解 存在性 适定性理论
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Adaptive fuzzy integral sliding mode pressure control for cutter feeding system of trench cutter
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作者 田启岩 魏建华 +1 位作者 方锦辉 国凯 《Journal of Central South University》 SCIE EI CAS CSCD 2016年第12期3302-3311,共10页
A nonlinear pressure controller was presented to track desired feeding pressure for the cutter feeding system(CFS) of trench cutter(TC) in the presence of unknown external disturbances.The feeding pressure control of ... A nonlinear pressure controller was presented to track desired feeding pressure for the cutter feeding system(CFS) of trench cutter(TC) in the presence of unknown external disturbances.The feeding pressure control of CFS is subjected to unknown load characteristics of rock or soil; in addition,the geological condition is time-varying.Due to the complex load characteristics of rock or soil,the feeding velocity of TC is related to geological conditions.What is worse,its dynamic model is subjected to uncertainties and its function is unknown.To deal with the particular characteristics of CFS,a novel adaptive fuzzy integral sliding mode control(AFISMC) was designed for feeding pressure control of CFS,which combines the robust characteristics of an integral sliding mode controller and the adaptive adjusting characteristics of an adaptive fuzzy controller.The AFISMC feeding pressure controller is synthesized using the backstepping technique.The stability of the overall closed-loop system consisting of the adaptive fuzzy inference system,integral sliding mode controller and the cutter feeding system is proved using Lyapunov theory.Experiments are conducted on a TC test bench with the AFISMC under different operating conditions.The experimental results demonstrate that the proposed AFISMC feeding pressure controller for CFS gives a superior and robust pressure tracking performance with maximum pressure tracking error within ?0.3 MPa. 展开更多
关键词 electro-hydraulic system cutter feeding system feeding pressure control adaptive fuzzy integral sliding mode control
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Robust adaptive cross-coupling position control of biaxial motion system 被引量:14
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作者 CHEN Wei WANG DianDian +1 位作者 GENG Qiang XIA ChangLiang 《Science China(Technological Sciences)》 SCIE EI CAS CSCD 2016年第4期680-688,1-3,共9页
The stability and synchronous performance are usually hard to be improved simultaneously in the biaxial cross-coupling position motion control system.Based on analyzing the characteristics of the cross-coupling contro... The stability and synchronous performance are usually hard to be improved simultaneously in the biaxial cross-coupling position motion control system.Based on analyzing the characteristics of the cross-coupling control system,a robust adaptive cross-coupling control strategy is proposed.To restrict influences of destabilizing factors and improve both of stability and synchronous performance,the strategy forces dual axes to track the same reference model using Narendra adaptive control theory.And then,a robust parameters adaptive law is proposed.The stability analysis of the proposed strategy is conducted by applying Lyapunov stability theory.Related simulations and experiments indicate that the proposed strategy can improve synchronous performance and stability simultaneously. 展开更多
关键词 biaxial motion motor control system position tracking robust adaptive control CROSS-COUPLING synchronous error
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Lag Synchronization Between Two Coupled Networks via Open-Plus-Closed-Loop and Adaptive Controls
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作者 胡桐春 吴永庆 李时兴 《Communications in Theoretical Physics》 SCIE CAS CSCD 2016年第1期33-38,共6页
In this paper,we study lag synchronization between two coupled networks and apply two types of control schemes,including the open-plus-closed-loop(OPCL) and adaptive controls.We then design the corresponding control a... In this paper,we study lag synchronization between two coupled networks and apply two types of control schemes,including the open-plus-closed-loop(OPCL) and adaptive controls.We then design the corresponding control algorithms according to the OPCL and adaptive feedback schemes.With the designed controllers,we obtain two theorems on the lag synchronization based on Lyapunov stability theory and Barbalat's lemma.Finally we provide numerical examples to show the effectiveness of the obtained controllers and see that the adaptive control is stronger than the OPCL control when realizing the lag synchronization between two coupled networks with different coupling structures. 展开更多
关键词 lag synchronization open-plus--closed-loop control adaptive control
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