不确定性高阶关联大系统的分散变结构调节器设计

Decentralized VariableStructure Control for Uncertain LargeScale System with HigherOrder Interconnections

提出一种适用于不确定性高阶关联大系统的分散变结构调节器设计方法。所考虑的系统不确定性因素包括系统内部参数摄动、高阶关联变化和外部干扰。该设计方法的主要优点是在分散控制律中引入了对系统不确定性高阶关联及扰动上界的自适应估算方法，因而在控制系统设计时不需要预先确定系统不确定性变化的上界，进一步增强了控制系统对不可预知系统扰动的鲁棒性。仿真结果表明了该方法的有效性。

A decentralized variablestructure control for a class of uncertain largescale systems with higherorder interconnections is proposed. The uncertainties under consideration include bounded system parameter variations, uncertain higherorder interconnections and external disturbances. Because simple decentralized adaptation laws for the upper bounds of system uncertainties are introduced in the proposed control approach, the bounds of higherorder uncertainties and interconnections do not need to be determined a priori while designing controller. Thus the control approach is very applicable to uncertain largescale systems, which have very complex structures of system uncertainties and interconnections. Moreover, by introduction of the adaptation laws the system robustness to unpredicted uncertainties is improved. The control approach can guarantee the largesacle systems to be globally stable and the adaptation laws to be convergent under the effects of bounded unknown higherorder uncertainties. The designed control law is easy to implement. Simulation results are given to illustrate its effectiveness.