Simultaneous Stabilization of Polynomial Nonlinear Systems via Density Functions
سال انتشار: 1397
نوع سند: مقاله کنفرانسی
زبان: انگلیسی
مشاهده: 588
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شناسه ملی سند علمی:
ELEMECHCONF05_032
تاریخ نمایه سازی: 21 خرداد 1398
چکیده مقاله:
This paper is concerned with simultaneous stabilization of a class of polynomial nonlinear systems with almost stability theory. The proposed almost stability criterion has remarkable advantages over Lyapunov-based simultaneous stabilization. These advantages rely in convexity property of density functions. This property results in controller synthesis problems which are affine with respect to unknown polynomials variables. The results of almost stability are also extended to simultaneous asymptotic stability at the expense of adding some extra affine polynomial inequalities. Numerical method for verification of positivity of multivariate polynomials based on sum of square decomposition is used. Numerical examples and a fault tolerant design scheme are used to show the effectiveness of the proposed methods.
کلیدواژه ها:
نویسندگان
Navid Behmanesh-Fard
Department of Electrical Engineering, Technical and Vocational University, Fars, Iran
Alireza Khayatian
School of Electrical & Computer Engineering of Shiraz University, Shiraz, Iran
Peyman Kohansedgh
School of Electrical & Computer Engineering of Shiraz University, Shiraz, Iran