Predictor Feedback for Delay Systems: Implementations and Approximations

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This monograph bridges the gap between the concept of nonlinear predictors and their practical application, offering a comprehensive theory for using predictor feedback in time-invariant, uncertain systems with constant input and measurement delays. It presents various methods for generating real-time solutions to the nonlinear differential equations, termed approximate predictors. Part I introduces predictor feedback for linear time-invariant (LTI) systems, establishing foundational concepts due to their simpler nature compared to nonlinear systems. Part II extends these concepts to nonlinear time-invariant systems, while Part III explores applications to systems described by integral delay equations and discrete-time systems. The core focus is on designing control and observer algorithms that maintain global stabilization, previously guaranteed with idealized predictors, using the approximate predictors developed in the book. Engineers will appreciate numerous explicit formulas provided to aid in applying the theory to various control problems. Mathematicians will find sophisticated proof techniques aimed at ensuring global stability for nonlinear infinite-dimensional delay systems under feedback laws utilizing practically implementable approximate predictors. Researchers and graduate students in systems and control will benefit from this monograph as a valuable resource for advancing their understanding of nonlinear control