期刊
ESAIM-CONTROL OPTIMISATION AND CALCULUS OF VARIATIONS
卷 16, 期 4, 页码 887-928出版社
EDP SCIENCES S A
DOI: 10.1051/cocv/2009029
关键词
Control Lyapunov Function; stabilization; time-varying systems; nonlinear control
资金
- NSF [ECS-0093176, DMS-0504462]
- Division Of Mathematical Sciences
- Direct For Mathematical & Physical Scien [0906659] Funding Source: National Science Foundation
In this work, we propose a methodology for the expression of necessary and sufficient Lyapunov-like conditions for the existence of stabilizing feedback laws. The methodology is an extension of the well-known Control Lyapunov Function (CLF) method and can be applied to very general nonlinear time-varying systems with disturbance and control inputs, including both finite and infinite-dimensional systems. The generality of the proposed methodology is also reflected upon by the fact that partial stability with respect to output variables is addressed. In addition, it is shown that the generalized CLF method can lead to a novel tool for the explicit design of robust nonlinear controllers for a class of time-delay nonlinear systems with a triangular structure.
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