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在无限时区跟踪型风险灵敏度(risk-sensitive)指标下,研究了一类严格反馈随机非线性系统的满意输出反馈控制问题,所用指标函数为实际中常见的二次型函数,而非为回避控制器设计及闭环系统性能分析的本质困难而采用的四次型函数,对任意给定的风险灵敏度参数和期望指标值,利用积分反推(integrator backstepping)方法构造性地给出了一个输出反馈控制器,使得闭环系统在概率意义下有界,并且风险灵敏度指标不大于所给的期望值。
Under the condition of infinite-time tracking risk-sensitive index, the output feedback control problem for a class of stochastic nonlinear systems with strict feedback is studied. The index function used is a quadratic function commonly used in practice, rather than an avoidance control Design and closed-loop system performance analysis of the nature of the difficulty of the quadratic function used for any given risk sensitivity parameters and expected value of indicators, the use of integral backstepping method constructively gives an output feedback control So that the closed-loop system is bounded in the sense of probability and the risk sensitivity index is not greater than the expected value.