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非线性状态方程的矢量算式编列法

Normalized Vector Expression for Nonlinear State Equation

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【作者】 王洪璞

【Author】 Wang Hongpu

【机构】 东北工学院自动控制系

【摘要】 线性动态网络或系统不论选用那个变量作为状态变量编列状态方程均不受限制。但非线性动态网络或系统的状态变量其选用则受限制。若只限制使用电荷和磁链作为状态变量去编列状态方程,失去了一般性。本文提出使用非线性贮能元件的四种控制量作为状态变量,推导出编列非线性状态方程的矢量算式。

【Abstract】 For a linear dynamic network or system, it is unrestricted to express a stateequation no matter which variable is taken as the state variable.But for a nonli-near dynamic network or system, such is not the case, i. e. not all the variablescan always be taken as the state variables. Following this reason,if only thecharges and magnetic linkage are assumed restrictedly the state variables toexpress a state equation, the equation will not be of generality. Therefore, amethod to drive the normalized vector expressions is presented for nonlinearstate equation in such a way that four control variables of nonlinear accumula-tor elements, including voltage and current, further, are taken as the statevariables.

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