ALGORITHMS FOR CLASSICAL CONTROL SYSTEMS DESIGN

This paper contains a survey of the computational methods which play an important role in the computer aided design in the frequency domain of single-input/single-output, linear systems, possibly including a pure time delay, and in continuous or discrete time. Emphasis throughout is on those numerical aspects unique to classical control systems design.

[1]  K. Georg.  On Tracing an Implicitly Defined Curve by Quasi-Newton Steps and Calculating Bifurcation by Local Perturbations , 1981 .

[2]  C. Pan,et al.  A computer-aided root-locus method , 1978 .

[3]  L. V. Kolev,et al.  A quasi‐newton algorithm for following solution curves , 1987 .

[4]  C. Loan,et al.  Nineteen Dubious Ways to Compute the Exponential of a Matrix , 1978 .

[5]  R. Ash,et al.  Numerical computation of root loci using the Newton-Raphson technique , 1968 .

[6]  G. Zames.  On the input-output stability of time-varying nonlinear feedback systems--Part II: Conditions involving circles in the frequency plane and sector nonlinearities , 1966 .

[7]  E. C. Levy.  Complex-curve fitting , 1959, IRE Transactions on Automatic Control.

[8]  R. E. Kalman,et al.  When Is a Linear Control System Optimal , 1964 .

[9]  P. Dooren.  The generalized eigenstructure problem in linear system theory , 1981 .

[10]  L. Chua,et al.  Tracing solution curves of nonlinear equa-tions with sharp turning points , 1984 .

[11]  R. Fornaro,et al.  Root locus diagrams by digital computer , 1966 .

[12]  James R. O'Donnell,et al.  Extensions to the Ash Algorithm for Finding Root Loci , 1987, 1987 American Control Conference.

[13]  Rajni V. Patel.  On the computation of numerators of transfer functions of linear systems , 1973 .

[14]  Richard A. Northouse,et al.  Unsupervised root locus gain selection , 1974 .

[15]  C. Sanathanan,et al.  Transfer function synthesis as a ratio of two complex polynomials , 1963 .

[16]  K. C. Daly.  A computational procedure for transfer-function evaluation , 1974 .

[17]  A. Laub.  Efficient multivariable frequency response computations , 1980, 1980 19th IEEE Conference on Decision and Control including the Symposium on Adaptive Processes.

[18]  Z. Bien,et al.  A root-locus technique for linear systems with delay , 1982 .

[19]  S. Thompson,et al.  Rootfinding and interpolation with Runge-Kutta-Sarafyan methods , 1985 .