基于状态PI调节器的离散混沌系统控制

研究了基于状态PI调节器离散混沌系统的控制问题。将受控系统非线性项在不动，占、处作泰勒级数展开，当新构成的误差方程的非线性项满足一定条件时，采用极点配置技术设计PI调节器控制增益，可产生局部渐近稳定域。一旦系统轨迹进入局部稳定域，混沌轨道将被镇定到不动．占’上。而混沌运动遍历性保证了这一局部稳定域一定可达。以一雏LogiStic映射和二雏Henon映射为例，仿真结果表明理论分析的正确性。

Control of discrete chaotic system by using a state PI regulator

The problem of controlling discrete chaotic systems by using a state PI regulator is studied. Let the nonlinear terms of the controlled system expand by the Taylor series at the fixed point, and when the nonlinear terms of the new error equations satisfy certain condition, the local asymptotic region can be established via designing the PI regulator gains based on the pole location technique. Once the chaotic trajectory enters the attraction region, the chaotic systems can be stabilized to the fixed point. Due to the ergodicity of chaos, the region is certain to reach. This method is applied to one-dimension Logistic map and two-dimension Henon map, and the simulation shows the validity of the theorectical analysis.