General eigenvalue placement in linear control systems by output feedback |
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| Authors: | N. AL-NASR V. LOVASS-NAGY G. RABSON |
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| Affiliation: | 1. Department of Mathematical Sciences , University of Petroleum and Minerals , Dhahran, Saudi Arabia;2. Department of Electrical and Computer Engineering and Department of Mathematics and Computer Science , Clarkson College of Technology , Potsdam, New York, 13676, U.S.A;3. Department of Mathematics and Computer Science , Clarkson College of Technology , Potsdam, New York, 13676, U.S.A |
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| Abstract: | Consider the time-invariant system E[xdot] = Ax + Bu, y = Cx where E is a square matrix that may be singular. The problem is to find constant matrices K and L, such that the feedback law u = Ky+L[ydot] yields x = exp (λt)vi (where vi is some constant vector) for some preassigned λi (i=l, 2, [tdot], r). This problem is equivalent to that of finding K and L which makes a preassigned λ i an eigenvalue corresponding to the general eigenvalue problem {λ(E ? BLC) ? (A + BKC)}v=0. Using matrix generalized inverses, a method is developed for the construction of a linear system of equations from which the elements of K and L may be computed. |
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