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A New Discrete-time Adaptive ILC for Nonlinear Systems with Time-varying Parametric Uncertainties
非线性时变参数不确定系统的自适应迭代学习控制

Keywords: Iterative learning control (ILC),adaptive control,time-varying parameters,non-identical initial condition,nonidentical trajectory
Iterative
,learning,control,(ILC),adaptive,control,time-varying,parameters,non-identical,initial,condition,non-identical,trajectory,线性时变参数,不确定系统,自适应,迭代,学习控制,Parametric,Uncertainties,Nonlinear,Systems,convergence,finite,time,interval,initial,states,random,reference,trajectory,gain,tuned,incorporate,projection,algorithm,adaptive,control

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Abstract:

Using the analogy between the discrete time axis and the iterative learning axis,a new discrete-time adaptive iter- ative learning control (AILC) approach is developed to address a class of nonlinear systems with time-varying parametric un- certainties.Analogous to adaptive control,the new AILC can incorporate a projection algorithm,thus the learning gain can be tuned iteratively along the learning axis.When the initial states are random and the reference trajectory is iteration-varying,the new AILC can achieve the pointwise convergence over a finite time interval asymptotically along the iterative learning axis.

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