Robust pole assignment

Abstract This paper presents new theorems on the theory of interval matrix inequalities and the theory of polynomials with interval roots, and applies them to the problem of robust pole-placement. We formulate optimization problems and derive convergent iterative algorithms which allow the designer to find controllers that place closed-loop poles within desired intervals for plants with unknown-but-bounded parameter uncertainties. The algorithms are computationally reasonable and provide a useful addition to currently existing control CAD tools.

[1]  Jeffrey C. Kantor,et al.  Characterization of "Allowable perturbations" for robust stability , 1983 .

[2]  N. Nichols,et al.  Robust pole assignment in linear state feedback , 1985 .

[3]  Robin J. Evans,et al.  Robust regulator design , 1985 .

[4]  Jürgen Ackermann.  Multi-Model Approaches to Robust Control System Design , 1985 .

[5]  Edward J. Davison,et al.  Robust controller design , 1982 .

[6]  Christopher V. Hollot,et al.  Some discrete-time counterparts to Kharitonov's stability criterion for uncertain systems , 1986 .

[7]  C. S. Berger,et al.  Robust Controller Design Using Parameter Space , 1984 .

[8]  C. S. Berger.  Robust controller design by minimisation of the variation of the coefficients of the closed-loop characteristic equation , 1984 .

[9]  B. Barmish.  Invariance of the strict Hurwitz property for polynomials with perturbed coefficients , 1983, The 22nd IEEE Conference on Decision and Control.

[10]  R. Biernacki.  Sensitivities of stability constraints and their applications , 1986 .

[11]  Karl Johan Åström,et al.  Robustness of a design method based on assignment of poles and zeros , 1980 .

[12]  G. Zames,et al.  Feedback, minimax sensitivity, and optimal robustness , 1983 .

[13]  H. Kwakernaak.  Minimax Frequency Domain Optimization of Multivariable Linear Feedback Systems , 1984 .

[14]  ASYMPTOTIC STABILITY OF AN EQUILIBRIUM P . OSITION OF A FAMILY OF SYSTEMS OF LINEAR DIFFERENTIAL EQUATIONS , 2022 .

[15]  J. Garloff,et al.  Stability of polynomials under coefficient perturbation , 1985 .

[16]  Bijoy K. Ghosh.  Simultaneous partial pole placement: A new approach to multimode system design , 1986 .

[17]  R. Yedavalli.  Perturbation bounds for robust stability in linear state space models , 1985 .

[18]  Rama K. Yedavalli.  Stability analysis of interval matrices: another sufficient condition , 1986 .