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Stabilizing controllers for discrete bilinear systems
Author(s) -
Stepanenko Yury,
Yang Xueshan
Publication year - 1996
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/(sici)1099-1239(199610)6:8<855::aid-rnc197>3.0.co;2-d
Subject(s) - control theory (sociology) , bilinear interpolation , class (philosophy) , state (computer science) , mathematics , stability theory , zero (linguistics) , output feedback , function (biology) , feedback control , nonlinear system , control (management) , computer science , control engineering , engineering , algorithm , linguistics , statistics , physics , philosophy , quantum mechanics , artificial intelligence , evolutionary biology , biology
In this paper, we study stabilizing controllers for time varying bilinear systems. Here, the feedback function, f in our paper is for larger classes than those given in the current literature. We establish existence theorems for stabilizing bilinear systems by output feedback from a large class. The main theorems basically state that under broad conditions, the zero state of the systems can be made asymptotically stable by output feedback. Following these stabilizing theorems, a new design procedure for the feedback control law is presented. Application of the new theorems is illustrated by a simulation example.