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This is a unified collection of important recent results for the design of robust controllers for uncertain systems, primarily based on H8 control theory or its stochastic counterpart, risk sensitive control theory. Two practical applications are used to illustrate the methods throughout.

This book uses H control methods to study robust state estimation and Lagrange stabilization of sector bounded nonlinear systems. Part A developed a new approach for constructing a robust state estimator for uncertain stochastic systems with slope-bounded nonlinearities satisfying IQC and multipliers are used to exploit the uncertainties and nonlinearities. Part B studies stability analysis and Lagrange stabilization of pendulum-like systems. This part proposes two Lagrange stability criteria which can be applied to more general pendulum-like systems. These results, with a sufficient...