Linearization condition through state feedback

Non-regular feedback linearization of nonlinear systems via a normal form algorithm

“…When k =1 the linearization is called the single-input linearization. Devanathan, 2001;Krener & Kang, 1990). We ÿrst review some concepts (Guckenheimer & Holmes, 1983): Let H k n be the set of kth degree homogeneous polynomial vector ÿelds in R n .…”

“…The following normal form representation (Arnold, 1983) and its application to linearization (Devanathan, 2001) are the starting point of our approach.…”

“…Proposition 1.5 (Devanathan, 2001). Let = ( 1 ; : : : ; n ) be the eigenvalues of a given Hurwitz matrix A.…”

Linearization of Permanent Magnet Synchronous Motor Using MATLAB and Simulink

“…Starting with the quadratic model of PMSM, we apply quadratic linearization technique based on coordinate and state feedback. The linearization technique used is the control input analog of Poincare's work ( Arnold 1983) as proposed by Kang and Krener (Kang & Krener 1992) and further developed by Devanathan (Devanathan 2001(Devanathan ,2004 .The quadratic linearization technique proposed is on the lines of approximate linearization of Krener (Krener 1984) and does not introduce any singularities in the system compared to the exact linearization methods reported in (Chiasson & Bodson 1998). MATLAB simulation is used to verify the effectiveness of the linearization technique proposed.…”

Application of Input–State of the System Transformation for Linearization of Selected Electrical Circuits

“…The methods of differential geometry allowed the development of efficient techniques for the analysis and synthesis of such systems. The series of publications [8][9][10][11][12], which considered the problem of nonlinear transformation of a linear system by changing the coordinates (local diffeomorphism) and using feedback [10][11][12][13][14][15][16][17][18][19] considerably contributed to the development of the techniques mentioned.…”