The Model Reference Approach, Adaptive Control

Abstract

This timely book is a welcome addition to the literature on adaptive control systems, an area of research concentration which dates back to about 1958. Dr. Landau has written a book with a strong design viewpoint, and thereby has added greatly to a field of study that has specialized too long on philosophical concepts or special cases. The book presents much material in its 406 pages. Like many research monograms, it was printed from typewritten sheets, not typeset with smooth right margins. The book has the usual number of mistakes such as omitted superscript in equation (2-13), incorrect sign in equation (2.1-23) and omission of reference [11] in list at end of Chapter 4. As a textbook in a graduate course for engineering students, the book will need considerable clarification and amplification, depending of course on the background of the students taking the course. The book is organized into eight chapters and four appendices, namely

Adaptive Techniques for Control of Large Space Structures.

“…Although the stability results (Theorem 1A, 1B) are not entirely new (see e.g., [7], [8]), the input/output setting provides the means to directly determine the system robustness properties with respect to model error. The type of model error examined can arise from a variety of causes, such as unmodeled dynamics and reduced order modeling.…”

“…We develop an adaptive error system of a general form, by comparing the actual adaptive system with a tuned system, i.e., the control system that could be obtained if the plant were known. This error system is similar to the type used in [7, [8) where the tuned system error output is zero, due to the assumption of perfect modeling. By relaxing this assumption we show that the non-zero outputs of the error system are the inputs to a nonlinear feedback error system consisting of the adaptive algorithm and two feedback (interconnection) operators,denoted by H and H .…”

“…The use of such methods on distributed parameter or large scale systems, like LSS, is greatly limited by the modeling problem-the adaptive scheme must be based on a ROM (Reduced Order Model) of the actual system and, hence, the order of the model is, and must remain, substantially lower than the controlled system [7]- [8].…”

“…Let attracted to the set of tuned systems (6). Recall that -the tuned system set is likely to contain more than a H_ H,(").t (8 single member, thus by stabili.y we mean stability about' a (possibly disconnected) set rather than denote the raahu'at error. Recall from (5) and (6) that about a point.…”

Electric Vehicle Longitudinal Stability Control Based on a New Multimachine Nonlinear Model Predictive Direct Torque Control

“…Usinĝ, the criterion of Popov for the current system becomes Journal of Advanced Transportation A solution of this inequality can be found in relationship [37]. Then, the load torque observed satisfies the following adaptation laws:…”