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This book summarizes the application of linear algebra-based controllers (LABC) for trajectory tracking for practitioners and students across a range of engineering disciplines. It clarifies the necessary steps to apply this straight-forward technique to a non-linear multivariable system, dealing with continuous or discrete time models, and outlines the steps to implement such controllers. In this book, the authors present an approach of the trajectory tracking problem in systems with dead time and in the presence of additive uncertainties and environmental disturbances. Examples of applications of LABC to systems in real operating conditions (mobile robots, marine vessels, quadrotor and pvtol aircraft, chemical reactors and First Order Plus Dead Time systems) illustrate the controller design in such a way that the reader attains an understanding of LABC.
"This book exposes a new technique to design the tracking control for a variety of processes using on a mathematical model of the plant and based on many concepts from systems theory and liner algebra ... . The book is highly recommended to graduate or high-level undergraduate students in automatic control and to any other scientists or engineering professionals interested in a new method of designing automatic trajectory tracking systems." (Mihail Voicu, zbMATH 1465.93006, 2021)