Markov跳变系统输出反馈鲁棒预测控制  

Robust predictive control via output feedback for markov jump system

作　　者：吕娜[1] 刘晓华[1] 

机构地区：[1]鲁东大学数学与统计科学学院,山东烟台264025

出　　处：《中南大学学报（自然科学版）》2013年第S1期133-137,共5页Journal of Central South University:Science and Technology

基　　金：国家自然科学基金资助项目(61174097)

摘　　要：对准线性参数时变Markov跳变系统,当系统状态不完全可测时,研究一类基于输出反馈的鲁棒模型预测控制问题。将多包不确定性和有界噪声综合考虑,通过求解无穷时域性能指标的最小最大优化问题,得到了系统的输出反馈控制律。引入二次有界概念,在满足输入输出约束的情况下,保证闭环系统的随机稳定。数值算例验证了方法的有效性。For quasi-linear parameter varying Markov jump system,when the state can not be measured,a manner of output feedback robust model predictive control was proposed for the system with polytopic uncertainty and bounded disturbance.Through solving the min-max optimization problem with infinite horizon performance cost,the output feedback law of closed-loop system was obtained.With the circumstance of input and output,the stochastic stability of the closed-loop system was guaranteed by utilizing the quadratic boundedness.At last,a numerical example was given to illustrate the effectiveness of the controller.

关 键 词：鲁棒预测控制 MARKOV跳变系统 准线性参数时变 输出反馈 二次有界 随机稳定 

分 类 号：TP13[自动化与计算机技术—控制理论与控制工程]