This book, written by two major figures in adaptive control, provides a wealth of material for researchers, practitioners, and students. While some researchers in adaptive control may note the absence of a particular topic, the book‘s scope represents a high-gain instrument. It can be used by designers of control systems to enhance their work through the information on many new theoretical developments, and can be used by mathematical control theory specialists to adapt their research to practical needs. The book is strongly recommended to anyone interested in adaptive control.

Adaptive Control

A new fractional-order general type-2 fuzzy predictive control system and its application for glucose level regulation

Observer based nonlinear control design for glucose regulation in type 1 diabetic patients: An LMI approach

Type 1 diabetes mellitus is a disease affecting millions of people worldwide and causing the expenditure of millions of euros every year for health care. One of the most promising therapies derives from the use of an artificial pancreas, based on a control system able to maintain the normoglycaemia in the subject affected by diabetes. A dynamic simulation model of the glucose-insulin system can be useful in several circumstances for diabetes care, including testing of glucose sensors, insulin infusion algorithms, and decision support systems for diabetes. This paper considers the problem of the identification of single individual parameters in detailed dynamic models of glucose homeostasis. Optimal model-based design of experiment techniques are used to design a set of clinical tests that allow the model parameters to be estimated in a statistically sound way, while meeting constraints related to safety of the subject and ease of implementation. The model with the estimated set of parameters represents a specific subject and can thus be used for customized diabetes care solutions. Simulated results demonstrate how such an approach can improve the effectiveness of clinical tests and serve as a tool to devise safer and more efficient clinical protocols, thus providing a contribution to the development of an artificial pancreas.

Optimal design of clinical tests for the identification of physiological models of type 1 diabetes mellitus in the presence of model uncertainty

An effort is made to design the fuzzy proportional-derivative (PD) plus I controller for a nonlinear cruise control system in automobiles, which provides adaptive capability in set-point tracking p...

Fuzzy PD Plus I Control-based Adaptive Cruise Control System in Simulation and Real-time Environment

The paper describes a general approach for computing the multiple-input equivalent gains of a non-linear element in the minimum mean square error sense and is an extention of the method developed earlier for computing the equivalent gain for Gaussian input (Nath and Mahalanabis 1966). The method is general in the sense that it is equally well applicable for elements with zero or finite memory, and that results for the single (or dual) input cases can be obtained from the results for larger input cases by taking the limits as all but one (or two) of the signals tend to zero. The results of application of the method to representative non-linearities of each class with two or three uncorrelated inputs are given examples. Finally, the stability of a hysteretic system with random single input is briefly examined by following the quasi-linearization analysis.

A Multiple-input Quasi-linearization Method with Applications†

Expressions for the Dual Input Describing Functions (DIDF's) of a two-state relay with hysteresis have been obtained by using an equivalent function generator for the non-linearity. These DIDF's were then applied to analyse the effects of sinusoidal input signals on the stability of a feedback system which includes the hysteretic relay. These results, as substantiated by simulator data, indicate that, besides the stabilizing effects, the presence of sinusoidal signals at the input of the particular system studied may produce dual mode operation over a. range of input amplitudes.

On the Stability of a Hysteretic System under Sinusoidal Excitation

A method for computing the sine wave equivalent gain or describing function of a, double-valued non-linearity is presented. The method is illustrated by considering four common types of such a non-linearity and t.he gains for each of these characteristics as obtained by following the present procedure and the conventional procedure are compared. It is also pointed out that the present procedure can have advantage over the conventional procedure in that the stability analysis can be simplified raid the design of an optimum compensation schema can be facilitated.

A Method of Finding the Equivalent Gains of Double-valued Non-linearities†

This article proposes a physics-based control-oriented model and observer design for the state-of-charge (SoC) estimation of lithium-ion cells for applications involving high magnitude fluctuating current profiles. The physics-based single-particle model (SPM) provides enhanced accuracy due to the inclusion of electrolyte dynamics and addresses the issue of nonobservability associated with it. The computationally efficient physics-based model is utilized to design a robust observer-based SoC estimator in the framework of linear matrix inequality to guarantee fast convergence despite parametric uncertainty in the state and output equations, and unknown initial conditions. The observer performance is validated using FTP75 and US06 dynamic tests at different temperatures, and the results are compared with the standard unscented Kalman filter (UKF). The mean SoC estimation error and the integral square error of the estimated SoC for the proposed observer are at least one order of magnitude smaller than that of UKF. Furthermore, robustness to ±30% parametric uncertainty, measurement noise, and unknown initial conditions is demonstrated through Monte Carlo simulations at different temperatures.

Anirudh Nath

Papers

A Multiple-input Quasi-linearization Method with Applications†

On the Stability of a Hysteretic System under Sinusoidal Excitation

A Method of Finding the Equivalent Gains of Double-valued Non-linearities†

Control-Oriented Physics-Based Modeling and Observer Design for State-of-Charge Estimation of Lithium-Ion Cells for High Current Applications

Nonlinear Control for Blood Glucose Regulation of Diabetic Patients