Optimal pole shifting for continuous multivariable linear systems. (English) Zbl 0561.93026

A method for shifting the real parts of the open-loop poles to any desired positions while preserving the imaginary parts is presented. The method is based on the mirror-image property which has been reported by B. P. Molinari [Automatica 13, 347-357 (1977; Zbl 0359.49001)]. In other words, Molinari’s results are extended and then a recursive approach is developed. In each step of this approach, it is required to solve a first-order or a second-order linear matrix Lyapunov equation for shifting one real pole or two complex conjugate poles respectively. The presented method yields a solutions which is optimal with respect to a quadratic performance index. The attractive feature of this method is that it enables solutions to complex problems to be easily found without solving any non-linear algebraic Riccati equation.


93B55 Pole and zero placement problems
93C05 Linear systems in control theory
93C35 Multivariable systems, multidimensional control systems
93C99 Model systems in control theory


Zbl 0359.49001
Full Text: DOI


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