An improved LMI-based approach for stability of piecewise affine time-delay systems with uncertainty

作者：Duan Shiming^*; Ni Jun; Ulsoy A Galip

来源：International Journal of Control, 2012, 85(9): 1218-1234.

DOI：10.1080/00207179.2012.680915

• piecewise affine systems
• time-delay systems
• stability analysis
• Lyapunov-Krasovskii functional

The stability problem for uncertain piecewise affine (PWA) time-delay systems is investigated in this article. It is assumed that there exists a known constant time delay in the system and the uncertainly is norm-bounded. Sufficient conditions for the stability of nominal systems and the stability of systems subject to uncertainty are derived using the Lyapunov-Krasovskii functional with a triple integration term. This approach handles switching based on the delayed states (in addition to the states) for a PWA time-delay system, considers structured as well as unstructured uncertainty and reduces the conservativeness of previous approaches. The effectiveness of the proposed approach is demonstrated by comparing with the existing methods through numerical examples.

• 出版日期2012