The stochastic parameter system optimum control research involves to many disciplines categories, is a rich challenge and comprehensive topic. This article in view of the system which has the stochastic parameter to carry on its optimum control, has established the single degree of freedom stochastic parameter viscous-damping system dynamics model, using the algebra synthesis legitimate , rectangular method and the Monte-Carlo law extracts the inspiring damping ratio the average value and the variance separately, and draws system curve and so on time domain response, frequency range response, root-locus. Has established two degrees of freedom stochastic parameters system model, embarked from the energy and the stable angle has established the objective function. Has compiled the MATLAB procedure, when asks the appropriate system parameter separately for the true quota and the random variable, continual linear two systems optimum control functions, transfer function, most superior performance index and its average value and variance. Drew separately has worked as when system parameter for true quota and random variable, linear two Guass system simulation graph. Discussed the linear two Gauss system weighting coefficient to the system the influence. Calculates the example take the automobile driving suspension fork as the concrete project, considered the system parameter random influence, has carried on the optimum control analysis, and draws up the simulation graph.
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