In this article, a finite time prescribed performance controller is designed for a class of constrained nonlinear systems with external disturbances. A homeomorphic mapping is used for error conversion to establish the equivalent error model of the system. A robust stability controller is designed when the initial state is in the initial stability region. A finite time optimization controller is designed to make the state reach the initial stability region when the initial state is outside the initial stability region. Based on Lyapunov stability theory, it is proved that the system can realize state tracking in a limited time and meet the prescribed performance conditions. The effectiveness of the proposed method is testified by two simulation examples.

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A model‐free predictive control (MFPC) method is proposed for a kind of discrete nonlinear asymmetric systems (NASs) whose models are undefined. According to the dynamic characteristics of the asymmetric system, the compact format dynamic linearization (CFDL) technology and the improved projection algorithm are adopted to set up models for the controlled NAS. Then, based on the estimation models, the explicit analytical solution of the controller is obtained by solving the quadratic function of finite‐time domain rolling optimization. Finally, a switching law is designed to make the system switch reasonably between the positive and negative models, thus ensuring the stability of the whole system. The effectiveness of the proposed method is testified by a simulation example.