# Nonlinear Systems: Design, Analysis, Estimation and Control

ITexLi | 2016 | ISBN: 9535127152 9535127144 | 357 Pages | PDF | 48 MB

This volume is dedicated to nonlinear systems in various fields, and consists of two parts.

The book consists mainly of two parts.

First.

Chapter 1 and Chapter 2 treat design techniques based on linearization of nonlinear systems. An analysis of nonlinear system over quantum mechanics is discussed in Chapter 3. Chapter 4 to Chapter 7 are estimation methods using Kalman filtering while solving nonlinear control systems using iterative approach.

Second.

Optimal approaches are discussed in Chapter 8 with retarded control of nonlinear system in singular situation, and Chapter 9 extends optimal theory to H-infinity control for a nonlinear control system.Chapters 10 and 11 present the control of nonlinear dynamic systems, twin-rotor helicopter and 3D crane system, which are both underactuated, cascaded dynamic systems. Chapter 12 applies controls to antisynchronization/synchronization in the chaotic models based on Lyapunov exponent theorem, and Chapter 13 discusses developed stability analytic approaches in terms of Lyapunov stability. The analysis of economic activities, especially the relationship between stock return and economic growth, is presented in Chapter 14.

Contents

Preface

1 Solving Nonlinear Parabolic Partial Differential Equations Using Multidomain Bivariate Spectral Collocation Method

2 Feedback and Partial Feedback Linearization of Nonlinear Systems: A Tribute to the Elders

3 Analyzing Quantum Time©\Dependent Singular Potential Systems in One Dimension

4 Smoothing Solution for Discrete-Time Nonlinear Stochastic Optimal Control Problem with Model-Reality Differences

5 Design, Analysis, and Applications of Iterative Methods for Solving Nonlinear Systems

6 Nonlinear State and Parameter Estimation Using Iterated Sigma Point Kalman Filter: Comparative Studies

7 An Introduction to Ensemble-Based Data Assimilation Method in the Earth Sciences

8 Conditions for Optimality of Singular Controls in Dynamic Systems with Retarded Control

9 Simultaneous H ¡̃ Control for a Collection of Nonlinear Systems in Strict-Feedback Form

10 Nonlinear Feedback Control of Underactuated Mechanical Systems

11 Nonlinear Cascade-Based Control for a Twin Rotor MIMO System

12 Synchronization Phenomena in Coupled Birkhoff-Shaw Chaotic Systems Using Nonlinear Controllers

13 Design of Dynamic Output Feedback Laws Based on Sums of Squares of Polynomials

14 Could the Stock Return be a Leading Indicator of the Economic Growth in the Depression? Analysis Based on Nonlinear Dynamic Panel Model

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