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Applications of Robust Control to Nonlinear Systems

Richard Colgren - University of Kansas (Author)

Year: 2004       Price: $ 84.95        

ISBN 1-56347-666-5       Number of Pages:185
Progress in Astronautics and Aeronautics Series, 205


Description:
This book offers a three-step approach to generating a robust nonlinear controller: modeling, synthesis and robustness analysis. The publication is targeted to practicing engineers and graduate-level students working in guidance, information command and control systems, and CAD/CAM.

The methods covered in this book allow the user to design and analyze nonlinear controllers for nonlinear systems with several important and unique characteristics: the ability to specify the closed loop system’s frequency response via requirements on the sensitivity (S) and complementary sensitivity (T), the ability to directly minimize an undesirable resonance or peak in the frequency response while simultaneously closing all loops from the input to the output vector in essentially one single design step, and the ability to analyze the stability characteristics for multiple independent and dependent problem variables. The approach uniquely allows the user to achieve stable and robust performance for systems which are both unstable and contain discontinuous nonlinearities using adaptive nonlinear controllers.

Table of Contents

The Describing Function
General Describing Function Evaluation Methods
The Inverse Describing Function
Optimal Control
Performance Specification
Control Synthesis
Riccati Solution for an Augmented Plant Containing a Describing Function
Robustness Analysis via Simplicial Algorithms
Analytic Geometry
Simplicial Mapping
Simplex Nulling
Integer Labeling
Vector Labeling
Nonlinear Control
Approaches to Nonlinear Control
Control of a System with a Relay Element via Loop-Shifting
Control via an Adaptive Perturbation Filter
Nonlinear Robustness Analysis of a Relay Element via Simplicial Algorithms
Direct Solution using the Two-Riccati Equation Approach
Nonlinear Control of a Missile’s Roll Axis
Computer Algorithms
Optimization
FORTRAN Simulation
Variable Dimension Restart Algorithm
Hardware Implementations


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