This paper proposes an approach for robust pole location analysis of linear dynamical systems with parametric uncertainties. Linear control systems with characteristic polynomials whose coefficients are affine in a vector of uncertain physical parameters are considered. A design region in complex plane for system pole placement and a “nominal” parameter vector generating a characteristic polynomial with roots in that region are given. The proposed method allows us to compute maximal domains bounded by linear inequalities and centered at the “nominal” point in system parameter space, preserving system poles in the given region. The solution of this problem is shown to also solve the problem of testing root location of a given polytope of polynomials in parameter space. It is proved that when considering stability problems for continuous-time systems with independent perturbations on polynomial coefficients, the proposed method generates the four extreme Kharitonov polynomials.

Robustness analysis for linear dynamical systems with linearly correlated parametric uncertainties / Tesi, A.; Vicino, A.. - In: IEEE TRANSACTIONS ON AUTOMATIC CONTROL. - ISSN 0018-9286. - STAMPA. - 35:(1990), pp. 186-191. [10.1109/9.45176]

Robustness analysis for linear dynamical systems with linearly correlated parametric uncertainties

TESI, ALBERTO;
1990

Abstract

This paper proposes an approach for robust pole location analysis of linear dynamical systems with parametric uncertainties. Linear control systems with characteristic polynomials whose coefficients are affine in a vector of uncertain physical parameters are considered. A design region in complex plane for system pole placement and a “nominal” parameter vector generating a characteristic polynomial with roots in that region are given. The proposed method allows us to compute maximal domains bounded by linear inequalities and centered at the “nominal” point in system parameter space, preserving system poles in the given region. The solution of this problem is shown to also solve the problem of testing root location of a given polytope of polynomials in parameter space. It is proved that when considering stability problems for continuous-time systems with independent perturbations on polynomial coefficients, the proposed method generates the four extreme Kharitonov polynomials.
1990
35
186
191
Tesi, A.; Vicino, A.
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Utilizza questo identificatore per citare o creare un link a questa risorsa: https://hdl.handle.net/2158/1050124
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