This paper proposes a new design method for a sliding mode control system using μ synthesis theory. This concept is based on a frequency-shaped approach. A general hyperplane consists of a reference model without dynamics. Therefore, a conventional sliding mode control system often becomes unstable due to spillover phenomena of high frequency caused by high-speed switching. The proposed design method suppresses such spillover phenomena because of frequency shaping. Also, it has good robustness on the hyperplane to realize a minimum value of H∞ norm and the structured singular value from some noise to state variables. We have just applied this new method to the flexible structure of a test rig with four stories such as a high-rise building. We have obtained good performance from simulations and experiments.
|Number of pages||8|
|Journal||Nippon Kikai Gakkai Ronbunshu, C Hen/Transactions of the Japan Society of Mechanical Engineers, Part C|
|Publication status||Published - 1996 Jan 1|
ASJC Scopus subject areas
- Mechanics of Materials
- Mechanical Engineering
- Industrial and Manufacturing Engineering