具有iISS未建模动态的非线性系统的状态反馈调节

针对一类具有积分输入到状态稳定(Integral input-to-state stability, iISS)未建模动态的非线性系统, 本文研究了状态反馈调节问题. 利用反推技术和iISS的性质, 通过恰当地选取设计函数和参数修正律, 给出了一个状态反馈控制器的设计过程. 所设计的控制器保证了闭环系统所有信号的有界性, 并且状态可以渐近调节到零. 仿真例子验证了该控制方案的有效性.

State-feedback Regulation of Nonlinear Systems with iISS Unmodeled Dynamics

For a class of nonlinear systems with iISS unmodeled dynamics, this paper investigates the problem of state-feedback regulation. Using the backstepping technique and the properties of iISS, by appropriately choosing the designed functions and update laws of parameters, we give the design procedure of a state-feedback controller. The designed controller guarantees that all the signals of the closed-loop system are bounded, and that the states can be regulated asymptotically to zero. A simulation example demonstrates the effectiveness of the control scheme.