Stability and performance robustness for multivariable linear systems

Abstract This paper deals with both aspects of stability and performance robustness of linear systems in the time domain. A linear time-invariant feedback control law which yields the largest set of parameter variations is first determined. It is then used as an initial guess for designing a robust control law which produces satisfactory performance for each of several operating points of the system given a priori. The stability robustness properties of the resulting control law is also studied. The proposed approach is applied to an example yielding larger stability bounds including satisfactory performance in comparison with recently reported results.

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

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

[3]  Dale E. Seborg,et al.  Eigenvalue invariance to system parameter variations by eigenvector assignment , 1977 .

[4]  E. Davison.  The robust control of a servomechanism problem for linear time-invariant multivariable systems , 1976 .

[5]  H. Horisberger,et al.  Regulators for linear, time invariant plants with uncertain parameters , 1976 .

[6]  Peter Dorato,et al.  Observer-feedback design for linear systems with large parameter uncertainties , 1974, CDC 1974.

[7]  Ole A. Solheim.  Robustness Analysis of a Class of Optimal Control Systems , 1983 .

[8]  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 .

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

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

[11]  José Claudio Geromel,et al.  Optimal decentralized control of dynamic systems , 1982, Autom..

[12]  W.H. Lee,et al.  Structural Information in Robustness Analysis , 1982, 1982 American Control Conference.

[13]  Bonaventure Intercontinental,et al.  ON DECISION AND CONTROL , 1985 .

[14]  Aharon Vinkler,et al.  Multistep Guaranteed Cost Control of Linear Systems with Uncertain Parameters , 1979 .

[15]  D. Salmon,et al.  Minimax Controller Design , 1968 .

[16]  T. K. C. Peng,et al.  Adaptive Guaranteed Cost of Control of Systems with Uncertain Parameters , 1970 .

[17]  R. Yedavalli,et al.  Dynamic compensator design for robust stability of linear uncertain systems , 1986, 1986 25th IEEE Conference on Decision and Control.

[18]  Rama K. Yedavalli,et al.  Improved measures of stability robustness for linear state space models , 1985 .

[19]  B. Levy,et al.  Robustness tests utilizing the structure of modelling error , 1981, 1981 20th IEEE Conference on Decision and Control including the Symposium on Adaptive Processes.

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