Gain-scheduled PI tracking control on stochastic nonlinear systems with partially known transition probabilities

Gain-scheduled PI tracking control on stochastic nonlinear systems with partially known transition probabilities
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具有部分已知转移概率的随机非线性系统的增益调度 PI 跟踪控制

DOI:
10.1016/j.jfranklin.2011.01.011
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发表时间:
2011-05
影响因子:
7.4
通讯作者:
Liu, Fei
Liu, Fei
中科院分区:
地球科学2区
文献类型:
--
作者:
Shi, Peng;Yin, Yanyan;Liu, Fei

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This paper studies the problem of continuous gain-scheduled PI tracking control on a class of stochastic nonlinear systems subject to partially known jump probabilities and time-varying delays. First, gradient linearization procedure is used to construct model-based linear stochastic systems in the vicinity of selected operating states. Next, based on stochastic Lyapunov stabilization analysis, sufficient conditions for the existence of a PI tracking control are established for each linear model in terms of linear matrix inequalities. Finally, continuous gain-scheduled approach is employed to design continuous nonlinear PI tracking controllers on the entire nonlinear jump system. Simulation example is given to illustrate the effectiveness of the developed design techniques.
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