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Robust ℋ 2 and ℋ ∞ switched feedforward control of uncertain LFT systems
Author(s) -
Yuan Chengzhi,
Wu Fen
Publication year - 2016
Publication title -
international journal of robust and nonlinear control
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.361
H-Index - 106
eISSN - 1099-1239
pISSN - 1049-8923
DOI - 10.1002/rnc.3380
Subject(s) - feed forward , control theory (sociology) , lyapunov function , robust control , piecewise , mathematics , quadratic equation , computer science , mathematical optimization , control (management) , control system , nonlinear system , control engineering , engineering , mathematical analysis , physics , geometry , electrical engineering , artificial intelligence , quantum mechanics
Summary This paper presents a new robust switched feedforward control scheme for a class of uncertain systems described in a standard linear fractional transformation form. First, the analysis conditions for switching stability are derived by using a piecewise Lyapunov function incorporated with the min‐switching control technique. Based on the analysis results, the synthesis conditions are then formulated as a special type of bilinear matrix inequalities, which can be solved by means of linear matrix inequalities and line search. Both robustℋ 2andℋ ∞feedforward control problems are considered. The proposed robust switched control scheme outperforms existing robust feedforward control approaches for uncertain systems based on single quadratic Lyapunov function, and leads to less conservative control design. Numerical examples will be used to illustrate the effectiveness and advantages of the proposed results. Copyright © 2015 John Wiley & Sons, Ltd.