运用饱和状态反馈,给出了估计扩大控制饱和不确定连续,离散系统吸引域的方法,对这两种情况建立了适用于控制器设计的线性矩阵不等式条件,解相应的受限优化问题,得到系统的最大吸引域和状态反馈增益,并用算例说明了方法的有效性。
Presents a method for enlarging the domain of attraction of the origin for continuous-time/discretetime systems with actuator saturation and uncertainties via a saturated linear feedback. Linear matrix inequalities(LMIS) based conditions are established for both case, which can easily be used for controller synthesis. The problem of designing linear state feedback laws such that the domain of attraction is enlarged is formulated and solved as an optimization problem with LMI constraints. The effectiveness of the developed method is illustrated with example.