In this paper, a novel prescribed performance control method is proposed. The proposed controller features with standard second-order transient performance. By using a standard second-order response performance function and a new error transformation method, the prescribed performance of the system is achieved in a preset range of the performance function. The error transformation method is universal, therefore, it can also be applied to other performance functions. The proposed controller is designed by the backstepping technique based on Lyapunov stability. By using the proposed controller, the asymptotic stability can be achieved. The proposed controller is firstly tested on a simple second-order system, which can be directly controlled by the proposed control method. Then, the proposed controller is tested on a complex quaternion based aircraft attitude stabilisation system. The proposed method cannot be directly applied to the attitude control system, so some advanced derivations are conducted. The simulation results are given for each of the closed-loop systems and some analysis is conducted. Expected results with prescribed performance are illustrated and some comparisons are made.

在本文中，提出了一种新的规定性能控制方法。建议的控制器具有标准的二阶瞬态性能。通过使用标准的二阶响应性能函数和新的误差变换方法，在预设的性能函数范围内达到系统规定的性能。误差变换方法是通用的，因此，它也可以应用于其他性能函数。所提出的控制器是通过基于李雅普诺夫稳定性的反推技术设计的。通过使用所提出的控制器，可以实现渐近稳定性。所提出的控制器首先在一个简单的二阶系统上进行测试，该系统可以由所提出的控制方法直接控制。然后，建议的控制器在基于复杂四元数的飞机姿态稳定系统上进行了测试。所提出的方法不能直接应用于姿态控制系统，因此进行了一些高级推导。给出了每个闭环系统的仿真结果并进行了一些分析。说明了具有规定性能的预期结果，并进行了一些比较。