On the design of linear multivariable feedback systems via constrained nondifferentiable optimization in H/sup infinity / spaces

The design discussed is of linear, lumped, time-invariant, multivariable feedback systems, subject to various frequency and time-domain performance specifications. The approach is based on the use of stabilizing controller parametrizations which result in the formulation of feedback system design problems as convex, nondifferentiable optimization problems. These problems are solvable by recently developed nondifferentiable optimization algorithms for the constrained minimization of regular, uniformly locally Lipschitz continuous functions in R/sup N/. >

[1]  Dante C. Youla,et al.  Modern Wiener-Hopf Design of Optimal Controllers. Part I , 1976 .

[2]  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.

[3]  John C. Doyle,et al.  Guaranteed margins for LQG regulators , 1978 .

[4]  C. Desoer,et al.  Feedback system design: The fractional representation approach to analysis and synthesis , 1979, 1979 18th IEEE Conference on Decision and Control including the Symposium on Adaptive Processes.

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

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

[7]  G. Zames.  Feedback and optimal sensitivity: Model reference transformations, multiplicative seminorms, and approximate inverses , 1981 .

[8]  Charles A. Desoer,et al.  Necessary and sufficient condition for robust stability of linear distributed feedback systems , 1982 .

[9]  Michael G. Safonov,et al.  Correction to "Feedback properties of multivariable systems: The role and use of the return difference matrix" , 1982 .

[10]  J. Pearson,et al.  Optimal disturbance reduction in linear multivariable systems , 1983, The 22nd IEEE Conference on Decision and Control.

[11]  Charles A. Desoer,et al.  Controller Design for Linear Multivariable Feedback Systems with Stable Plants, Using Optimization with Inequality Constraints , 1983 .

[12]  C. Jacobson,et al.  A connection between state-space and doubly coprime fractional representations , 1984 .

[13]  G. Zames,et al.  H ∞ -optimal feedback controllers for linear multivariable systems , 1984 .

[14]  K. Glover.  All optimal Hankel-norm approximations of linear multivariable systems and their L, ∞ -error bounds† , 1984 .

[15]  Stephen P. Boyd,et al.  Subharmonic functions and performance bounds on linear time-invariant feedback systems , 1984, The 23rd IEEE Conference on Decision and Control.

[16]  Edmond A. Jonckheere,et al.  L∞-compensation with mixed sensitivity as a broadband matching problem , 1984 .

[17]  G. Zames,et al.  On H ∞ -optimal sensitivity theory for SISO feedback systems , 1984 .

[18]  B. Francis,et al.  Sensitivity tradeoffs for multivariable plants , 1985 .

[19]  J. W. Helton,et al.  Worst case analysis in the frequency domain: The H ∞ approach to control , 1985 .

[20]  H. Kwakernaak.  Minimax frequency domain performance and robustness optimization of linear feedback systems , 1985 .

[21]  Mathukumalli Vidyasagar,et al.  Optimal rejection of persistent bounded disturbances , 1986 .

[22]  J. Pearson,et al.  l^{1} -optimal feedback controllers for MIMO discrete-time systems , 1987 .

[23]  J. Doyle,et al.  Linear control theory with an H ∞ 0E optimality criterion , 1987 .

[24]  E. Polak.  On the mathematical foundations of nondifferentiable optimization in engineering design , 1987 .