Nonlinear Control Under Nonconstant Delays

Based on the concept of predictor feedback and infinite-dimensional backstepping transformation for linear systems, the authors guide the reader from the basic ideas of the concept – with constant delays only on the input – all the way through to nonlinear systems with state-dependent delays on the input as well as on system states.
The authors have developed a methodology for control of nonlinear systems in the presence of long delays, with large and rapid variation in the actuation or sensing path, or in the presence of long delays affecting the internal state of a system. In addition to control synthesis, they introduce tools to quantify the performance and the robustness properties of the designs provided in the book.

The book is based on the concept of predictor feedback and infinite-dimensional backstepping transformation for linear systems and the authors guide the reader from the basic ideas of the concept — with constant delays only on the input — all the way through to nonlinear systems with state-dependent delays on the input as well as on system states.

Several examples are presented that help the reader digest some of the intricacies in the methodology.

Readers will find the book useful because the authors provide elegant and systematic treatments of long-standing problems in delay systems, such as systems with state-dependent delays that arise in many applications. In addition, the authors give all control designs by explicit formulae, making the book especially useful for engineers who have faced delay-related challenges and are concerned with actual implementations and they accompany all control designs with Lyapunov-based analysis for establishing stability and performance guarantees.

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