Algebraic identification and estimation methods in feedback control systems

"Presents a model-based algebraic approach to on-line parameter and state estimation in uncertain dynamic feedback control systemsAlgebraic Identification and Estimation Methods in Feedback Control Systems presents the model-based algebraic approach to on-line parameter and state estimation in uncertain dynamic feedback control systems. This approach evades the mathematical intricacies of the traditional stochastic approach, proposing a direct model-based scheme with several, easy to implement, computational advantages. This book contains many illustrative, tutorial style, developed examples of the recently introduced algebraic approach for parameter and state estimation in a variety of physical systems of continuous, and discrete, nature. The developments include some laboratory experimental results in several areas related to mechatronics systems. The reader, with an engineering level mathematical background and through the many expository examples, will be able to master the use and understand the consequences of the highly theoretical differential algebraic viewpoint in control systems theory"--

"Algebraic Identification and Estimation Methods in Feedback Control Systems presents the model-based algebraic approach to on-line parameter and state estimation in uncertain dynamic feedback control systems"--

Cover; Title Page; Copyright; Contents; Series Preface; Preface; Chapter 1 Introduction; 1.1 Feedback Control of Dynamic Systems; 1.1.1 Feedback; 1.1.2 Why Do We Need Feedback?; 1.2 The Parameter Identification Problem; 1.2.1 Identifying a System; 1.3 A Brief Survey on Parameter Identification; 1.4 The State Estimation Problem; 1.4.1 Observers; 1.4.2 Reconstructing the State via Time Derivative Estimation; 1.5 Algebraic Methods in Control Theory: Differences from Existing Methodologies; 1.6 Outline of the Book; References; Chapter 2 Algebraic Parameter Identification in Linear Systems.

2.1 Introduction2.1.1 The Parameter-Estimation Problem in Linear Systems; 2.2 Introductory Examples; 2.2.1 Dragging an Unknown Mass in Open Loop; 2.2.2 A Perturbed First-Order System; 2.2.3 The Visual Servoing Problem; 2.2.4 Balancing of the Plane Rotor; 2.2.5 On the Control of the Linear Motor; 2.2.6 Double-Bridge Buck Converter; 2.2.7 Closed-Loop Behavior; 2.2.8 Control of an unknown variable gain motor; 2.2.9 Identifying Classical Controller Parameters; 2.3 A Case Study Introducing a ""Sentinel'' Criterion; 2.3.1 A Suspension System Model; 2.4 Remarks; References.

Chapter 3 Algebraic Parameter …