Given a pan-space ?and a nonnegative measurable function f on measurable space (X, A), the pan-integral of f with respect to monotone measure μ and pan-operation ?determines a new monotone measure ?on?(X, A). Such th...Given a pan-space ?and a nonnegative measurable function f on measurable space (X, A), the pan-integral of f with respect to monotone measure μ and pan-operation ?determines a new monotone measure ?on?(X, A). Such the new monotone measure ?is absolutely continuous with respect to the monotone measure μ. We show that the new monotone measure preserves some important structural characteristics of the original monotone measures, such as continuity from below, subadditivity, null-additivity, weak null-additivity and (S) property. Since the pan-integral based on a pair of pan-operations ?covers the Sugeno integral (based on ) and the Shilkret integral (based on ), therefore, the previous related results for the Sugeno integral are covered by the results presented here, in the meantime, some special results related the Shilkret integral are also obtained.展开更多
In this paper,the attitude stabilization of flexible spacecraft with umeasurable states and disturhances is adressed by an observer baced fuzay integal sliding modle control scheme.First,a Takagi-Sugeno fuxy modlel of...In this paper,the attitude stabilization of flexible spacecraft with umeasurable states and disturhances is adressed by an observer baced fuzay integal sliding modle control scheme.First,a Takagi-Sugeno fuxy modlel of flexible spacecraft is establisbed and an obeerver is propoeed based on this modeL The covengence conditions of the estimation errors are given by Lyapunow function and the gains of the observer are thus determinedl.Acoording to the obtained estimates,a novel fuxy slidling mode control strategy is designed to compensate the infuence of disturbance.F nally,an example of flexible spacecnaft is employed to venify the effectivenes of the propoeed obeerver and control law.展开更多
多模态控制主要采用快速切换控制方式实现,此方法在切换瞬间易引起控制器输出和系统响应出现抖动现象。为平滑过渡过程,提出了一种基于Sugeno模糊推理的控制模态切换方法,将不同控制器的控制输出作为输入引入到Sugeno系统的输出隶属函数...多模态控制主要采用快速切换控制方式实现,此方法在切换瞬间易引起控制器输出和系统响应出现抖动现象。为平滑过渡过程,提出了一种基于Sugeno模糊推理的控制模态切换方法,将不同控制器的控制输出作为输入引入到Sugeno系统的输出隶属函数,并将输出隶属函数的概念扩展以实现模态的平滑过渡。通过仿真分析基于非线性度变换比例积分微分(proportional integral differential,PID)控制和常规PID控制2种方式在静止无功补偿器上的控制效果,验证了该方法可以平滑抖动现象,实现模态切换的平稳过渡。展开更多
文摘Given a pan-space ?and a nonnegative measurable function f on measurable space (X, A), the pan-integral of f with respect to monotone measure μ and pan-operation ?determines a new monotone measure ?on?(X, A). Such the new monotone measure ?is absolutely continuous with respect to the monotone measure μ. We show that the new monotone measure preserves some important structural characteristics of the original monotone measures, such as continuity from below, subadditivity, null-additivity, weak null-additivity and (S) property. Since the pan-integral based on a pair of pan-operations ?covers the Sugeno integral (based on ) and the Shilkret integral (based on ), therefore, the previous related results for the Sugeno integral are covered by the results presented here, in the meantime, some special results related the Shilkret integral are also obtained.
基金supported in part by Shenzhen Science and Technology Program under Grant No.RCJC20210609104400005by the National Natural Science Foundation of China for Excellent Young Scholars under Grant 61822305.
文摘In this paper,the attitude stabilization of flexible spacecraft with umeasurable states and disturhances is adressed by an observer baced fuzay integal sliding modle control scheme.First,a Takagi-Sugeno fuxy modlel of flexible spacecraft is establisbed and an obeerver is propoeed based on this modeL The covengence conditions of the estimation errors are given by Lyapunow function and the gains of the observer are thus determinedl.Acoording to the obtained estimates,a novel fuxy slidling mode control strategy is designed to compensate the infuence of disturbance.F nally,an example of flexible spacecnaft is employed to venify the effectivenes of the propoeed obeerver and control law.
文摘多模态控制主要采用快速切换控制方式实现,此方法在切换瞬间易引起控制器输出和系统响应出现抖动现象。为平滑过渡过程,提出了一种基于Sugeno模糊推理的控制模态切换方法,将不同控制器的控制输出作为输入引入到Sugeno系统的输出隶属函数,并将输出隶属函数的概念扩展以实现模态的平滑过渡。通过仿真分析基于非线性度变换比例积分微分(proportional integral differential,PID)控制和常规PID控制2种方式在静止无功补偿器上的控制效果,验证了该方法可以平滑抖动现象,实现模态切换的平稳过渡。
