Why Modern Controllers Can Go Unstable in Practice

This paper demonstrates the importance of analyzing proposed modern control system designs with classical frequency response techniques. When classical constraints such as open-loop crossover frequency are ignored, apparently robust modern control designs may go unstable for relatively innocuous plant perturbations. Modern control system designs of successively more complex plants are analyzed to reveal some problems that may occur in the design of real systems and to show how these problems can be solved so that modern control methods will be more useful to practical'control system designers.

[1]  Paul Zarchan,et al.  Combined Optimal/Classical Approach to Robust Missile Autopilot Design , 1981 .

[2]  H. Nyquist,et al.  The Regeneration Theory , 1954, Journal of Fluids Engineering.

[3]  B. Anderson,et al.  Linear Optimal Control , 1971 .

[4]  Paul Zarchan,et al.  A New Look at Classical vs Modern Homing Missile Guidance , 1981 .

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

[6]  Dante C. Youla,et al.  Modern Wiener--Hopf design of optimal controllers Part I: The single-input-output case , 1976 .

[7]  J. G. F. Francis,et al.  The QR Transformation A Unitary Analogue to the LR Transformation - Part 1 , 1961, Comput. J..

[8]  J. Potter Matrix Quadratic Solutions , 1966 .

[9]  Leonard A. Gould,et al.  Analytical design of linear feedback controls , 1957 .

[10]  Arthur E. Bryson THE SYNTHESIS OF CONTROL LOGIC FOR PARAMETER-INSENSITIVITY AND DISTURBANCE ATTENUATION , 1980 .

[11]  Paul Zarchan,et al.  A classical look at modern control for missile autopilot design , 1982 .

[12]  Paul Zarchan,et al.  A combined optimal/classical approach to robust missile autopilot design , 1979 .

[13]  H. W. Bode,et al.  Network analysis and feedback amplifier design , 1945 .

[14]  Michael Athans,et al.  Gain and phase margin for multiloop LQG regulators , 1976, 1976 IEEE Conference on Decision and Control including the 15th Symposium on Adaptive Processes.

[15]  John Sesak,et al.  FILTER-ACCOMMODATED OPTIMAL CONTROL OF LARGE FLEXIBLE SPACE SYSTEMS , 1981 .

[16]  Harry Nyquist,et al.  Frequency-response methods in control systems , 1979 .

[17]  A. MacFarlane An Eigenvector Solution of the Optimal Linear Regulator Problem , 1963 .