Delay-adaptive linear control /
Yang Zhu and Miroslav Krstic.
- 1 online resource (xviii, 332 pages) : illustrations
- Princeton series in applied mathematics .
- Princeton series in applied mathematics. .
Includes bibliographical references and index.
Basic predictor feedback for single-input systems -- Basic idea of adaptive control for single-input systems -- Single-input systems with full relative degree -- Single-input systems with arbitrary relative degree -- Exact predictor feedback for multi-input systems -- Full-state feedback of uncertain multi-input systems -- Output feedback of uncertain multi-input systems -- Output feedback of systems with uncertain delays, parameters and ODE state -- Predictor feedback for uncertainty-free systems -- Predictor feedback of uncertain single-input systems -- Predictor feedback of uncertain multi-input systems.
"Uncertainty is inherent in control systems. Consider the following example: as an aircraft flies, it consumes fuel, which causes its mass to decrease. In order to maintain stability, the autopilot mechanism must adapt to this (a priori unknown) change in mass. Delays also pose a challenge in control systems. If you have tried to maintain a comfortable water temperature while showering in a building with outdated plumbing, you will understand the difficulties that arise when a control system has significant delays: the controller (you) is forced to make decisions based on "old" information. The intersection of these two problems (estimating unknown parameters when a system has delays) poses a significant mathematical challenge. Delay-Adaptive Linear Control presents new mathematical techniques to handle the intersection of the two distinct types of uncertainty described above: adaptive constraints, and uncertainties caused by delays. Traditionally, the problems of adaption and delays have been treated separately. This book considers the intersection of these two problems, developing new techniques for addressing different combinations of uncertainty-all within a single, unified framework. This work has applications in electrical and mechanical engineering (unmanned aerial vehicles, robotic manipulators), biomedical engineering (3D printing, neuromuscular electrical stimulation), and management and traffic science (supply chains, traffic flow), among others. Beyond its practical importance, this work is also of significant theoretical interest, as it addresses mathematical challenges involved in the analysis and design of these systems"--
In English.
0691203318 9780691203317
10.1515/9780691203317 doi
22573/ctvrh1hqs JSTOR 9452387 IEEE
2019029729
Adaptive control systems--Mathematical models. Time delay systems--Mathematical models. Linear control systems--Mathematical models. Linear time invariant systems--Mathematical models. Differential equations, Linear. Engineering mathematics. Syst�emes adaptatifs--Mod�eles math�ematiques. Syst�emes �a retard--Mod�eles math�ematiques. Commande lin�eaire--Mod�eles math�ematiques. Syst�emes lin�eaires invariants dans le temps--Mod�eles math�ematiques. �Equations diff�erentielles lin�eaires. Math�ematiques de l'ing�enieur. MATHEMATICS--Applied. Adaptive control systems--Mathematical models. Differential equations, Linear. Engineering mathematics.