Robust \(H_{\infty }\) Control of Takagi–Sugeno Systems with Actuator Saturation

Journal of control, automation and electrical systems

article

Chaibi, R.¹  Haiek, B. El¹  Tissir, E. H.¹  Hmamed, A.¹  Alvarez, T.² 

[1] Department of Physics, Faculty of Sciences Dhar El Mehraz, University Sidi Mohamed Ben Abdellah;Industrial Engineering School, University of Valladolid

关键词: Takagi–Sugeno (T–S) fuzzy systems;    Static output feedback (SOF);    Actuator saturation;    Linear matrix inequalities (LMIs);   

DOI  :  10.1007/s40313-020-00601-z

学科分类：自动化工程

来源: Springer

【 摘 要 】

The robust static output feedback control for continuous-time Takagi–Sugeno systems subject to actuator saturation is solved here, including $$H_{\infty }$$ H ∞ performance guarantees. Based on a polytopic model of the saturation, sufficient conditions are proposed for designing these controllers in terms of Linear Matrix Inequalities. With the aid of some special derivations, bilinear matrix inequalities are converted into a set of linear matrix inequalities which can be solved easily without requiring iterative algorithms or equality constraints, moreover, the output matrix of the considered system does not require to be full row rank. Finally, some examples are presented to show the validity of the proposed methodology.

【 授权许可】

CC BY