摘要
针对一类具有时不变的、模有界参数不确定性的广义连续系统,为了解决系统的状态反馈鲁棒H∞控制的难点问题,利用线性矩阵不等式(LMI)的方法,得到了问题可解的条件,并给出了相应的状态反馈控制律。得出的定理不仅深化了鲁棒H∞控制理论,并简化了以往的方法。在一定条件下,所采用的状态反馈鲁棒H∞控制律不仅对广义连续系统对所有容许的不确定性参数,也能够保证闭环系统正则、具有因果关系并且控制稳定,同时对传递函数矩阵能够满足给定的H∞性能指标。经过实际工程算例仿真验证了定理的正确性。
For a class of uncertain generalized continuous linear systems with time-invariant norm-bounded parameter uncertainties,the state feedback robust H-infinity control hard problem was resolved.A sufficient condition for the solvability of the problem and the state feedback robust H-infinity feedback controller were obtained in terms of liner matrix inequalities.The result deepened the content of robust H∞ control theory,and it simplified some past methods.The designed controller not only guaranteed that the closed-loop systems was regular,causal,stable but also satisfied a prescribed H-infinity norm bounded constraint for all admissible uncertain parameters under some conditions.A real project simulation example was given to demonstrate the effectiveness of the proposed method.
出处
《计算机仿真》
CSCD
北大核心
2011年第5期213-215,306,共4页
Computer Simulation
关键词
广义连续系统
鲁棒控制
仿真
Generalized continuous systems
Robust control
Simulation
