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Book ChapterDOI

Computer-aided control engineering environment for nonlinear systems analysis and design

James Taylor
- pp 53-58
TLDR
Taylor as discussed by the authors is a simulation-based nonlinear control system analysis and design environment based on sinusoidal-input describing function (SIDF) methods, which can treat general nonlinear systems, with no restrictions as to system order, number of nonlinearities, configuration, or nonlinearity type.
Abstract
We report on recent progress in developing a computer-aided nonlinear control system analysis and design environment based on sinusoidal-input describing function (SIDF) methods. In particular, two major additions have been made to our CAD software for nonlinear controls during 1984: a simulation-based program for generating amplitude-dependent SIDF input/output models for nonlinear plants, and a frequency-domain nonlinear compensator design package. Both of these are described in detail. This software can treat very general nonlinear systems, with no restrictions as to system order, number of nonlinearities, configuration, or nonlinearity type. An overview of the application of this software to the design of controllers for a realistic, nonlinear model of an industrial robot is presented in Taylor (1984). which serves to illustrate the use of these tools. Based on the software presented here, the use of SIDF-based nonlinear control system analysis and design methods is substantially easier to carry out.

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Citations
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Journal ArticleDOI

Linearization algorithms for computer-aided control engineering

TL;DR: Numerical algorithms and heuristic logic for the accurate and robust linearization of nonlinear dynamic system models are given and an expert system to aid the control engineer in determining linearized models for nonlinear systems is obtained.
Proceedings ArticleDOI

A Nonlinear PID Autotuning Algorithm

TL;DR: In essence, SIDF input/output (I/O) models of the compensated nonlinear system are exploited to directly synthesize a compensator nonlinearity that eliminates or reduces the amplitude dependence of the open-loop I/O relation.
Journal ArticleDOI

Algorithms for Limit Cycle Prediction: A Tutorial Paper (for Undergraduates)

TL;DR: A technique suggested by Hsu and Meyer for predicting the presence of a limit cycle is presented and its performance is compared against two conventional methods using a typical undergraduate problem.
Proceedings ArticleDOI

Computer-Aided Control Engineering Environment for the Synthesis of Nonlinear Control Systems

TL;DR: A second-generation toolset for computer-aided nonlinear control system analysis and design based on sinusoidal-input describing function (SIDF) methods that can treat very general nonlinear systems, with no restrictions as to system order, number of nonlinearities, configuration, or nonlinearity type is described.
Proceedings ArticleDOI

Fuzzy-logic controller synthesis based on sinusoidal-input describing functions and optimization

TL;DR: In this article, a method for the synthesis of fuzzy-logic controllers (FLCs) for amplitude-sensitive nonlinear plants based on sinusoidal-input describing-function methods plus step-response optimization is presented.
References
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Proceedings ArticleDOI

A Systematic Nonlinear Controller Design Approach based on Quasilinear System Models

TL;DR: In this paper, the authors provide an overview of one school of thought in this area, typified by the following key ideas: 1. Quasilinear models of the nonlinear system that account for the operating range of system variables must be more realistic than conventional linear models. 2. The designer should be led to a nonlinear controller design if and only if it is really required.
Journal ArticleDOI

Identification of Multi-Input Multi-Output Linear Systems From Frequency Response Data

TL;DR: In this paper, a procedure for identifying a multi-input multi-output linear system from frequency response data is developed, where individual transfer functions from individual input to individual output are identified via the generalized least-squares theory.
Journal ArticleDOI

Cambridge Linear Analysis and Design Programs

TL;DR: A set of interactive computer programs which can be used to aid in the analysis of the dynamic behaviour of linear multivariable systems with main emphasis on frequency response methods including Nyquist and Bode arrays, closed-loop Nyquistand boae arrays, characteristic gain loci and generalised root loci.
Proceedings ArticleDOI

Applications of a Nonlinear Controller Design Approach based on Quasilinear System Models

TL;DR: In this paper, the authors report on recent progress in developing nonlinear control system design techniques based on sinusoidal-input describing function (SIDF) methods and illustrate a fundamental difference between SIDF and RIDF models of nonlinear systems.