一类非线性级联系统的鲁棒不变切换控制

Robust Invariance Switching Control for a Class of Nonlinear Cascade Systems

研究了一类具有结构不确定性的单输入非线性级联系统的鲁棒不变切换控制问题。通过基于鲁棒严格无源技术和线性子系统状态反馈的切换控制来镇定线性子系统,同时保证了指定区域的正不变性,从而得到了该类系统鲁棒不变切换控制的充分条件。在适当的假设下,得到了系统的半全局渐近稳定。设计中无需ISS假设或非线性项的线性增长条件假设。在MATLAB环境下的仿真结果表明了设计的有效性。

Robust invariance switching control problem for a class of single-input nonlinear cascade systems with structural uncertainties was studied. By using methods of passivity and switching control of states of the linear subsystem, both stabilization of the linear subsystem and invariance of the specified region in state space can be guaranteed simultaneously. Hence, a sufficient condition for the robust invariance switching control of this class of systems was derived. Under some additional assumptions, the whole system is semi-global asymptotically stable （Semi-GAS）. ISS stability assumptions or linear growth conditions on nonlinearities are not required. Simulation results under the MATLAB environment demonstrate the validation of the proposed design.