Valery Ugrinovskii

H Methods for Control and State Estimation of Nonlinear Systems Valery Ugrinovskii

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 condition for pendulum-likeness, enable Lagrange stabilization of pendulum-like systems with multiple nonlinearities to be formulated and solved in term of the solutions to game-type Riccati equations. This book generalizes some results in standard H? control. An extended strict bounded real lemma and a pseudo H? control theory are developed. The latter includes a pseudo strict bounded real lemma which relates a pseudo H? condition to the existence of a sign indefinite solution to a ARE. These results can handle some control design problems which the standard H? control theory is not applicable.