H -Control Theory

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