Analysis of robust pole clustering in a good ride quality region for uncertain matrices

This paper presents a general analysis of robust pole clustering in a good ride quality region of aircraft, a specific non-/spl Omega/-transformable region, for uncertain matrices. The region is an intersection of a ring and a horizontal strip, located on the left half-plane. From experiments, it is known that the control system with poles located in this specific region provides a good ride quality for aircraft. The paper applies Rayleigh principle along the norm theory to analyze robust pole clustering within this good ride quality region since the generalized Lyapunov theory is not valid for non-/spl Omega/-transformable regions. The mainly concerned uncertainties are unstructured uncertainties. A simple extension of the results for structured uncertainties is also provided. Two examples illustrate the results for a perturbed closed-loop system matrix of F16 aircraft approximation model. The results are useful for robustness analysis and, especially, analysis of robust good ride quality of aircraft, shuttles, and space station.

[1]  Giovanni Muscato,et al.  Bibliography on robust control , 1993, Autom..

[2]  Leang S. Shieh,et al.  A general theory for analysis and design of robust pole clustering in subregions of the complex plane , 1994, Proceedings of 1994 American Control Conference - ACC '94.

[3]  V. Kharitonov.  Asympotic stability of an equilibrium position of a family of systems of linear differntial equations , 1978 .

[4]  P. Khargonekar,et al.  Stability robustness bounds for linear state-space models with structured uncertainty , 1987 .

[5]  S. B. Lin,et al.  Robust stability and eigenvectors of uncertain matrices , 1995, Proceedings of 1995 American Control Conference - ACC'95.

[6]  S. Gutman,et al.  A general theory for matrix root-clustering in subregions of the complex plane , 1981 .

[7]  J. Doyle,et al.  Robust and optimal control , 1995, Proceedings of 35th IEEE Conference on Decision and Control.

[8]  David Vlack,et al.  Robust Control , 1987 .

[9]  Bernard Etkin,et al.  Dynamics of Atmospheric Flight , 1972 .

[10]  Sheng-Guo Wang.  Robust Pole Clustering in a Good Ride Quality Region of Aircraft for Structured Uncertain Matrices , 1999 .

[11]  Sheng-Guo Wang,et al.  Comments on "Perturbation bounds for root-clustering of linear systems in a specified second order subregion" , 1996, IEEE Trans. Autom. Control..

[12]  Shuenn-Shyang Wang,et al.  On the analysis of eigenvalue assignment robustness , 1992 .

[13]  B. Ross Barmish,et al.  New Tools for Robustness of Linear Systems , 1993 .

[14]  Huang Lin,et al.  Root locations of an entire polytope of polynomials: It suffices to check the edges , 1987, 1987 American Control Conference.

[15]  Rama K. Yedavalli,et al.  Recent Advances in Robust Control , 1990 .

[16]  Shankar P. Bhattacharyya,et al.  Robust Control: The Parametric Approach , 1994 .

[17]  Ing-Rong Horng,et al.  Eigenvalue clustering in subregions of the complex plane for interval dynamic systems , 1993 .

[18]  Rama K. Yedavalli,et al.  Robust root clustering for linear uncertain systems using generalized lyapunov theory , 1993, Autom..

[19]  Sheng-Guo Wang,et al.  Eigenvectors and robust pole clustering in general subregions of the complex plane for uncertain matrices , 1997, Proceedings of the 36th IEEE Conference on Decision and Control.

[20]  Frank L. Lewis,et al.  Negative state weighting in the linear quadratic regulator for aircraft control , 1992 .