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The general problem of pole assignment‡
International Journal of Control, 1978Abstract Let G be a strictly proper, rational m × l matrix, with controllability indices λ1≥λ2≥…≥λ l and observability indices μ1≥μ2≥…≥μm. Also let ϕ1 ϕ2…, ϕ l be monic polynomials, where ϕi divides ϕi−1, i = 2, 3,…,l. Does there exist a proper rational feedback matrix K which makes the invariant polynomials of the resulting closed-loop system equal to
H. H. ROSENBROCK, G. E. HAYTON
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A Schur method for pole assignment
IEEE Transactions on Automatic Control, 1981In this paper a new numerical algorithm for pole assignment of linear time-invariant systems is presented. The proposed algorithm uses reliable numerical techniques based on the Schur form of the state matrix and on the use of orthogonal transformations.
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On computational algorithms for pole assignment
IEEE Transactions on Automatic Control, 1986A number of computationally reliable direct methods for pole assignment by feedback have recently been developed. These direct procedures do not necessarily produce robust solutions to the problem, however, in the sense that the assigned poles are insensitive to perturbations in the closed-loop system.
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Pole assignment by dynamic feedback
International Journal of Control, 1981It is shown that by dynamic feedback the closed loop transfer matrix of a linear system can be made equal to a proper rational matrix of the form v(s)T'−1(s)T−(s)T k (s) Here V(s) is the numerator polynomial matrix of the open loop transfer matrix, T'(s) is a polynomial matrix which can be chosen arbitrarily up to some degree constraints, T'2(s) is a ...
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Optimal robust pole assignment
Proceedings of the 37th SICE Annual Conference. International Session Papers, 2002An optimal robust pole assignment scheme is presented. Robustness is measured by the spectral condition number of the closed loop eigenstructure. Since the spectral condition number is nondifferentiable, an approximate differentiable objective function, which includes an index p, is introduced.
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On pole assignment by output feedback
International Journal of Control, 1978A new result of the problem of pole assignment by output feedback is presented. A simple condition is given under which min (n, m + r − 1) closed-loop poles can be assigned arbitrarily by a gain output feedback, where n, mand r are the dimensions of the state, output and input vectors, respectively.
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On the general problem of pole assignment
International Journal of Control, 1979Given a linear, time-invariant, minimal and strictly proper system set of monic polynomials φ i (s), i = l, 2, [tdot],q, such that φ i (s) divides φ i−1 (s), i = 2, 3, [tdot],q a method for finding a proper feedback system which makes the invariant polynomials of the closed-loop system equal to the φ i (s) is established and a sufficient condition ...
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Pole-zero assignment by the receptance method: multi-input active vibration control
Mechanical Systems and Signal Processing, 2022Dario Richiedei +2 more
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