Stabilization of switched systems with polytopic uncertainties via composite quadratic functions |
| |
| Affiliation: | 1. School of Electrical and Electronic Engineering, Nanyang Technological University, 50 Nanyang Avenue, 639798, Singapore;2. NVIDIA AI Tech Center, 3 International Business Park Rd, #01-20A Nordic European Center, 609927, Singapore;1. University of Valencia, Avenida Tarongers s/n, Valencia 46022, Spain;2. Department of Management Control and Information Systems, University of Chile, Av. Diagonal Paraguay 257, Santiago 8330015, Chile |
| |
| Abstract: | This paper studied the stabilization of switched linear systems with polytopic uncertainties by employing the methods of nonsmooth analysis and the composite quadratic Lyapunov functions. Above all, the minimum quadratic functions and the directional derivatives along the vertex directions of subsystems are applied to construct the new switching law. Then, some sufficient conditions for stabilization of switched linear systems are established considering the sliding modes and the directional derivatives along sliding modes. Finally, numerical examples are given to demonstrate the effectiveness of the synthesis results. |
| |
| Keywords: | Switched systems Polytopic uncertain systems Nonsmooth analysis Composite quadratic functions Bilinear matrix inequality (BMI) |
| 本文献已被 ScienceDirect 等数据库收录！ |
|
