参数不确定混沌系统的动态面输出调节方法

Dynamic surface output regulation method for chaotic systems with adaptive internal model

针对一类严参数反馈形式混沌系统,研究含有未知参数向量的线性中性稳定外系统驱动下的输出调节问题.根据非线性系统输出调节问题可解的必要条件,将严参数反馈混沌系统的输出调节问题转化为镇定问题.在前n-1步递推中,通过采用动态面控制设计虚拟控制律,简化了控制律设计的复杂性;第n步应用内模原理,结合自适应技术,设计输出调节控制器.应用Lyapunov稳定性理论,证明跟踪误差全局一致终结有界.仿真结果验证了控制方案的有效性.

For a class of strict-feedback chaotic systems driven by a linear and neutrally stable exosystem with unknown parameters,the output regulation problem is considered.Based on the necessary condition to solve the output regulation problems of nonlinear systems,the problem of strict-feedback chaotic systems can be transformed into a stabilization problem.The virtual controllers are designed by adapting dynamic surface technology at the former n-1 steps,which can largely decrease the complexities of the design progress.The output regulation controller is designed by using the internal model theory,coupling with bonding adaptive theory at the nth step.By applying the Lyapunov stability theorem,it is proved that all the signals in the closed-loop error system are uniformly and ultimately bounded.The simulation results turn out that the control strategy is effective for the problems involved.