IMPROVED TIME DOMAIN ROBUSTNESS CRITERIA FOR MULTIVARIABLE CONTROL SYSTEMS

Abstract This paper considers the problem of time domain robust stability analysis of multivariable control systems. New tests for robust stability are developed which are applicable in multivariable as well as single input single output system designs. Bounds on nonlinear and linear perturbations in the system dynamics are established such that system stability is assured. An aircraft control example is presented which illustrate the usefulness of the proposed stability robustness criteria.

[1]  A. Laub,et al.  Feedback properties of multivariable systems: The role and use of the return difference matrix , 1981 .

[2]  M. Athans,et al.  On the determination of the optimal constant output feedback gains for linear multivariable systems , 1970 .

[3]  R. Kosut.  Suboptimal control of linear time-invariant systems subject to control structure constraints , 1970 .

[4]  R. V. Patel,et al.  Robustness of linear quadratic state feedback designs in the presence of system uncertainty. [application to Augmentor Wing Jet STOL Research Aircraft flare control autopilot design] , 1977 .

[5]  Rajni V. Patel,et al.  Quantitative measures of robustness for multivariable systems , 1980 .

[6]  Michael Athans,et al.  Closed-loop structural stability for linear-quadratic optimal systems , 1976, 1976 IEEE Conference on Decision and Control including the 15th Symposium on Adaptive Processes.

[7]  M. Rakic,et al.  On the calculation of optimum feedback gains for output-constrained reguators , 1978 .

[8]  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.

[9]  G. Stein,et al.  Structural reliability and robustness properties of optimal linear-quadratic multivariable regulators , 1978 .

[10]  D. B. Ridgely,et al.  Time-domain stability robustness measures for linear regulators , 1985 .

[11]  G. Stein,et al.  Multivariable feedback design: Concepts for a classical/modern synthesis , 1981 .

[12]  M. Athans,et al.  Robustness results in linear-quadratic Gaussian based multivariable control designs , 1981 .

[13]  M. Athans,et al.  Robust decentralized control of multiterminal DC/AC power systems , 1985 .