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Multi-input Controllable Canonical Form 1.0

  Date Added: April 11, 2013  |  Visits: 236

Multi-input Controllable Canonical Form

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This function computes the frobenius transformation T for a multi-input state representation (A,B) such that the transformed system (T*A*inv(T),T*B) is in the multi-input controllable canonical form.Refer : D. G. Luenberger, "Canonical forms for linear multivariable systems", IEEE Trans. Auto. Contr., Vol. 12, pp. 290-292, 1967.The format of the function is[T,Ad,Bd,ni]=MI_CTRB(A,B)The function takes the following inputsA - The state matrixB - The input matrixand gives outputT - The generalized frobenius transformation matrix.Ad,Bd - The state and input matrices of the transformed system.ni - A vector describing the extent of controllability of the system with each input (also termed as controllability index).Note : mu=max(ni) would give the controllability index of the system with all inputs. i.e., the system is never controllable with ni(j)

Requirements: No special requirements
Platforms: Matlab
Keyword: Describing Dmaxni Extent Generalized Index Input Inputs Inputsa Matrices Matrixadbd Matrixand Matrixb Nijltmu Outputt Systemni Vector
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License: Freeware Size: 10 KB
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