Piecewise-quadratic Lyapunov functions for systems with deadzones or saturations
作者： Dan Dai , Tingshu Hu , Andrew R. Teel , Luca Zaccarian
DOI: 10.1016/J.SYSCONLE.2009.01.003
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摘要: A piecewise quadratic Lyapunov function is developed for the analysis of the global and regional performances for systems with saturation/deadzone in a general feedback configuration with an algebraic loop. This piecewise quadratic Lyapunov function effectively incorporates the structure of the saturation/deadzone nonlinearity. Several sector-like conditions are derived to describe the complex nonlinear algebraic loop. These conditions transform several performance analysis problems into optimization problems with linear (or …
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