LMI-based controller design for dynamic variable structure systems

Hiroshi Ohtake; Kazuo Tanaka

doi:10.1117/12.648937

6 December 2005 LMI-based controller design for dynamic variable structure systems

Hiroshi Ohtake, Kazuo Tanaka

Proceedings Volume 6052, Optomechatronic Systems Control; 60520L (2005) https://doi.org/10.1117/12.648937
Event: Optomechatronic Technologies 2005, 2005, Sapporo, Japan

Abstract

This paper presents controller design conditions for dynamic variable structure systems in terms of linear matrix inequalities (LMIs). In our previous paper, we proposed the dynamic variable structure system and derived its controller design conditions using switching fuzzy model-based control approach. However, the controller design conditions were given in terms of bilinear matrix inequalities (BMIs). In this paper, by introducing the augmented system which consists of the switching fuzzy model and a stable linear system, we derive new controller design conditions in terms of linear matrix inequalities (LMIs) for the dynamic variable structure systems. A simulation result shows the utility of this control approach.

Citation Download Citation

Hiroshi Ohtake and Kazuo Tanaka "LMI-based controller design for dynamic variable structure systems", Proc. SPIE 6052, Optomechatronic Systems Control, 60520L (6 December 2005); https://doi.org/10.1117/12.648937

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