The global output regulation problem: an incremental stability approach

We present a global solution to the output regulation problem for a class of nonlinear systems. The solution is based on the incremental stability property. The question of existence of the proposed solution can be answered by checking solvability of the regulator equations and feasibility of certain linear matrix inequalities

Some problems of stabilization and output regulation of nonlinear systems.

Chen Zhiyong.Thesis (M.Phil.)--Chinese University of Hong Kong, 2002.Includes bibliographical references (leaves 54-57).Abstracts in English and Chinese.Abstract --- p.iAcknowledgement --- p.iiChapter 1 --- Introduction --- p.1Chapter 1.1 --- Nonlinear Control --- p.1Chapter 1.2 --- Global Stabilization --- p.2Chapter 1.3 --- Output Regulation --- p.3Chapter 1.4 --- Contributions of the Thesis --- p.4Chapter 2 --- Global Robust Stabilization of Cascaded Polynomial Systems --- p.5Chapter 2.1 --- Introduction --- p.5Chapter 2.2 --- Preliminaries --- p.6Chapter 2.3 --- Basic Results --- p.8Chapter 2.4 --- The Algorithm --- p.11Chapter 2.5 --- An Example --- p.14Chapter 2.6 --- Concluding Remarks --- p.16Chapter 3 --- Output Regulation of Singular Nonlinear Systems by Normal Output Feedback --- p.18Chapter 3.1 --- Introduction --- p.18Chapter 3.2 --- Preliminaries --- p.20Chapter 3.3 --- Main Result --- p.24Chapter 3.4 --- An Example --- p.34Chapter 3.5 --- Concluding Remarks --- p.35Chapter 4 --- Robust Output Regulation of Singular Nonlinear Systems --- p.37Chapter 4.1 --- Introduction --- p.37Chapter 4.2 --- Problem Description and Standard Assumptions --- p.38Chapter 4.3 --- A Preliminary Result --- p.40Chapter 4.4 --- Solvability of the Problem --- p.48Chapter 4.5 --- Concluding Remarks --- p.51Chapter 5 --- Conclusions --- p.52Bibliography --- p.54Biography --- p.5

CAutoCSD-evolutionary search and optimisation enabled computer automated control system design

This paper attempts to set a unified scene for various linear time-invariant (LTI) control system design schemes, by transforming the existing concept of 'Computer-Aided Control System Design' (CACSD) to the novel 'Computer-Automated Control System Design' (CAutoCSD). The first step towards this goal is to accommodate, under practical constraints, various design objectives that are desirable in both time and frequency-domains. Such performance-prioritised unification is aimed to relieve practising engineers from having to select a particular control scheme and from sacrificing certain performance goals resulting from pre-committing to the adopted scheme. With the recent progress in evolutionary computing based extra-numeric, multi-criterion search and optimisation techniques, such unification of LTI control schemes becomes feasible, analytically and practically, and the resultant designs can be creative. The techniques developed are applied to, and illustrated by, three design problems. The unified approach automatically provides an integrator for zero-steady state error in velocity control of a DC motor, meets multiple objectives in designing an LTI controller for a non-minimum phase plant and offers a high-performing LTI controller network for a nonlinear chemical process

Numerical Simulations

This book will interest researchers, scientists, engineers and graduate students in many disciplines, who make use of mathematical modeling and computer simulation. Although it represents only a small sample of the research activity on numerical simulations, the book will certainly serve as a valuable tool for researchers interested in getting involved in this multidisciplinary field. It will be useful to encourage further experimental and theoretical researches in the above mentioned areas of numerical simulation

Two nonlinear output regulation problems.

Hu Guoqiang.Thesis (M.Phil.)--Chinese University of Hong Kong, 2004.Includes bibliographical references (leaves 87-93).Abstracts in English and Chinese.Abstract --- p.iAcknowledgement --- p.iiChapter 1 --- Introduction --- p.1Chapter 1.1 --- Nonlinear Control Systems --- p.2Chapter 1.2 --- Output Regulation --- p.5Chapter 1.3 --- Semiglobal Stabilization --- p.7Chapter 1.4 --- A Benchmark Nonlinear Control Problem --- p.8Chapter 1.5 --- Contribution of this Thesis --- p.10Chapter 2 --- Semiglobal Robust Output Regulation of a Class of Nonlinear Systems via Output Feedback Control --- p.12Chapter 2.1 --- Introduction --- p.13Chapter 2.2 --- Semiglobal Backstepping Technique --- p.16Chapter 2.3 --- Output Regulation Converted to Stabilization --- p.18Chapter 2.4 --- Solvability of the Semiglobal Robust Stabilization Problem via Partial State Feedback --- p.23Chapter 2.5 --- Design of the Output Feedback Regulator --- p.35Chapter 2.6 --- An example --- p.39Chapter 2.7 --- Concluding Remarks --- p.46Chapter 3 --- Disturbance Rejection of the RTAC system --- p.50Chapter 3.1 --- Disturbance Rejection Problem Formulated into Output Regulation Problem --- p.51Chapter 3.2 --- Solvability of the Output Regulation Problem via Measurement Output Feedback Control --- p.53Chapter 3.3 --- Parameters Design and Simulation Results --- p.57Chapter 3.4 --- Concluding Remarks --- p.58Chapter 4 --- Robust Disturbance Rejection of the RTAC System --- p.63Chapter 4.1 --- Introduction --- p.63Chapter 4.2 --- A General Framework for Robust Output Regulation --- p.64Chapter 4.3 --- Robust Asymptotic Disturbance Rejection of the RTAC System --- p.69Chapter 4.4 --- Algorithms to Design and Optimize the Parameters Kx and L --- p.73Chapter 4.5 --- Parameters design and Simulation Results --- p.75Chapter 4.6 --- Concluding Remarks --- p.76Chapter 5 --- Conclusions --- p.86Biography --- p.87Bibliography --- p.88Appendix A. ITAE Prototype Design --- p.9