Quasi-polynomial System Representation for the Analysis and Control of Nonlinear Systems
نویسندگان
چکیده
The application of quasi-polynomial system representation for the analysis and control of a wide class of smooth nonlinear systems is proposed in this paper. The analysis part includes the global stability analysis of the open loop system and that of the zero dynamics. It is shown that the stabilizing controller design with monomial feedback structure leads to the feasibility of bilinear matrix inequalities. The methods are illustrated on simple examples. Copyright c ©2005 IFAC
منابع مشابه
Coupled systems of equations with entire and polynomial functions
We consider the coupled system$F(x,y)=G(x,y)=0$,where$$F(x, y)=bs 0 {m_1} A_k(y)x^{m_1-k}mbox{ and } G(x, y)=bs 0 {m_2} B_k(y)x^{m_2-k}$$with entire functions $A_k(y), B_k(y)$.We derive a priory estimates for the sums of the rootsof the considered system andfor the counting function of roots.
متن کاملA Numerical Approach for Fractional Optimal Control Problems by Using Ritz Approximation
In this article, Ritz approximation have been employed to obtain the numerical solutions of a class of the fractional optimal control problems based on the Caputo fractional derivative. Using polynomial basis functions, we obtain a system of nonlinear algebraic equations. This nonlinear system of equation is solved and the coefficients of basis polynomial are derived. The convergence of the num...
متن کاملNonlinear Analysis of Interaction with SVC in Stressed Power Systems: Effect of SVC Controller Parameters
In this paper, the effect of Static VAr Compensator (SVC) parameters on the nonlinear interaction of steam power plant turbine-generator set is studied using the Modal Series (MS) method. A second order representation of a power system equipped with SVC is developed and then by MS method the nonlinear interaction of torsional modes is assessed under various conditions and the most influencing f...
متن کاملQuasi-polynomial and Lotka-Volterra representation in nonlinear systems and control theory
Nonlinear input-affine systems in quasi-polynomial (QP) and Lotka-Volterra (LV) forms are investigated in this paper. It is shown that both the global stability analysis with an entropy-like Lyapunov function candidate and the local quadratic stability region determination can be performed by solving linear matrix inequalities (LMIs). The invariance transformations preserving the form of the de...
متن کاملConservative chaotic flow generated via a pseudo-linear system
Analysis of nonlinear autonomous systems has been a popular field of study in recent decades. As an interesting nonlinear behavior, chaotic dynamics has been intensively investigated since Lorenz discovered the first physical evidence of chaos in his famous equations. Although many chaotic systems have been ever reported in the literature, a systematic and qualitative approach for chaos generat...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
عنوان ژورنال:
دوره شماره
صفحات -
تاریخ انتشار 2005