H -Control Theory: Lectures given at the 2nd Session of the Centro Internazionale Matematico Estivo (C.I.M.E.) held in Como, Italy, June 18-26, 1990

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The fundamental problem in control engineering is to provide robust

performance to uncertain plants. H -control theory began in the early

eighties as an attempt to lay down rigorous foundations on the classical

robust control requirements. It now turns out that H -control theory is

at the crossroads of several important directions of research space or polynomial approach to control and classical interpolation theory; harmonic analysis and operator theory; minimax LQ stochastic control and integral

equations. The book presents the underlying fundamental ideas, problems

and advances through the pen of leading contributors to the field, for graduate students and researchers in both engineering and

mathematics. From the Contents: C. Foias: Commutant Lifting

Techniques for Computing Optimal H Controllers.- B.A. Francis: Lectures on H Control and Sampled-Data Systems.- J.W. Helton: Two Topics in Systems Engineering Frequency Domain Design and Nonlinear System.- H. Kwakernaak:
The Polynomial Approach to H -Optimal Regulation.- J.B. Pearson: A

Short Course in l - Optimal Control