Method for designing multi-balance point nonlinear system for dynamic stability control
A nonlinear system and multi-balance point technology, applied in the design field of multi-balance point nonlinear systems, can solve problems such as the design method of the dynamic stability controller that has not been proposed
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[0071] The specific implementation manners of the present invention will be further described in detail below in conjunction with the accompanying drawings.
[0072] The main idea of the present invention is to first judge whether the system is stable, if not, control it by designing a controller to ensure the stability of the system.
[0073] The present invention first uses the KYP lemma to transform the gradient-like frequency domain condition. The KYP lemma is a basic conclusion widely used in the field of dynamic system analysis and feedback control. By converting the frequency-domain inequality into an equivalent time-domain linear matrix inequality (LMI), the KYP lemma provides a numerical system analysis and synthesis Analytical method. Based on the obtained time-domain linear matrix inequality conditions, the present invention further designs a controller for the closed-loop system to ensure its gradient-like property, and provides a corresponding solution method f...
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