Nonovershooting Tracking Control for Nonlinear Pure-Feedback Systems
针对非线性纯反馈系统，提出了保证无超调跟踪控制的条件，通过设计控制器使闭环系统全局渐近稳定，并推导出一阶、二阶及多阶系统的无超调条件，仿真验证了算法的有效性和优越性。
In this article, the conditions of ensuring nonovershooting tracking control (NOTC) for nonlinear pure-feedback systems (PFSs) are proposed. Presently, there are almost no results of guaranteed NOTC conditions for nonlinear PFSs. And the results in strict-feedback form are also very narrow. Based on these problems, this article obtains a more extensive conditions of NOTC for nonlinear PFSs. First, a controller is designed to make the closed-loop system (CLS) globally asymptotically stable, and a suitable CLS can be obtained through the designed controller. Then, by analyzing the CLS, the NOTC conditions of the first-order, second-order, and multiorder systems can be obtained, respectively. Finally, through the simulation results of two examples and comparing the simulation results of the existing algorithms, it is concluded that the algorithm in this article is effective and superior. In this article, for more general nonlinear PFSs, a wider range of NOTC conditions are obtained, and the obtained NOTC conditions are also suitable for strict-feedback form. Therefore, this algorithm reduces the conservatism.