基于有限维YOULA参数化的多目标H_2/H_∞最优控制

LMI based multi-objective H2/H∞-optimal control via finite dimensional Q-parameterization

讨论了多目标H2／H∞最优控制器的设计问题。针对文献[1]中Scherer提出的基于观测器结构的Youla参数化算法,给出了其解存在的必要条件。并基于此算法,将多目标H2／H∞最优控制器的设计问题转化为可解的线性矩阵不等式(LMI)的凸优化问题。通过对每个综合目标使用独立的Lyapunov函数,降低了系统的保守性。并应用于Benchmark控制器的设计,证明了该方法的有效性。

The problem of multi-objective H2/H∞ optimal controller design is reviewed. A necessary condition is given to consummate the algorithm based on that proposed by scherer. Considering the observer-based controller involving Youla parameter, the problem can be transformed into the tractable and practical LMI formulation of the multi-objective control problem. In order to reduce the conservatism of the system, independent Lyapunov functions are used for each synthesis objective. Illustrative application to Benchmark problem is given to demonstrate the usefulness and practicality of the approach.