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This paper considers the problem of global decentralized stabilization for a class of large-scale feedforward nonlinear systems. First, by using generalized homogeneous systems theory, a local linear decentralized control law is recursively constructed. Second, a series of nested saturation functions are integrated with the proposed local linear control law to render the whole closed-loop large-scale...
In this paper, by integrating the generalized homogeneity with monotone degrees (HWMD) with the top-bottom/bottom-top design strategy, we develop a new design procedure which enables us to explicitly construct global stabilizers for a class of feedforward systems. The proposed new control design strategy has several new features. First, a series of positive constant gains instead of positive function...
This paper considers the problem of using a sampled-data controller to globally stabilize a class of feedforward nonlinear systems. Based on the continuous-time controller proposed in [3], a nested saturation sampled-data control law is first designed to drive states of the feedforward system into a small region around the origin in a finite time. Inside this small region, the nested saturation sampled-data...
This paper considers the problem of global stabilization for a class of generalized feedforward systems whose nonlinearities are allowed to be lower-order growing, instead of higher-order or linear growing as required by most of the existing results. To solve the problem, a domination approach is developed based on the adding a power integrator technique and nested saturation method. The use of a...
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