Parameter Space Approach for Performance Mapping using Lyapunov Stability

Calculating the complete controller parameter space, which guarantees specified closed loop performance requirements of a given linear system, is non-trivial. In this paper, a new approach to solve this problem is presented using Lyapunov stability formulations. This method has several advantages in comparison to the existing parameter space approach methods: Currently, the parameter space calculation methods are only applicable for a very restricted system class. They rely on frequency sweeping and the stabilizing parameter space may only be calculated through means of discretization. The proposed method avoids this while reducing the computational complexity and increasing the practicality of the method at the same time. An extensive analysis of the presented method is shown on a practical application example: the longitudinal vehicle guidance (ACC).