Robust and Optimal Control

1. Introduction 2. Mathematical description of oscillations 3. Interaction between oscillations and waves 4. Gravity waves on water 5. Wave-body interactions 6. Wave-energy absorption by oscillating bodies 7. Wave interactions with oscillating water columns Bibliography Index.

https://assets.cambridge.org/97805217/82111/copyright/9780521782111_copyright.pdf

Ocean waves and oscillating systems : linear interactions including wave-energy extraction

Robust Control Design with MATLAB (second edition) helps the student to learn how to use well-developed advanced robust control design methods in practical cases. To this end, several realistic control design examples from teaching-laboratory experiments, such as a two-wheeled, self-balancing robot, to complex systems like a flexible-link manipulator are given detailed presentation. All of these exercises are conducted using MATLAB Robust Control Toolbox 3, Control System Toolbox and Simulink. By sharing their experiences in industrial cases with minimum recourse to complicated theories and formulae, the authors convey essential ideas and useful insights into robust industrial control systems design using major H-infinity optimization and related methods allowing readers quickly to move on with their own challenges. The hands-on tutorial style of this text rests on an abundance of examples and features for the second edition: rewritten and simplified presentation of theoretical and methodological material including original coverage of linear matrix inequalities; new Part II forming a tutorial on Robust Control Toolbox 3; fresh design problems including the control of a two-rotor dynamic system; and end-of-chapter exercises. Electronic supplements to the written text that can be downloaded from extras.springer.com/isbn include: M-files developed with MATLAB help in understanding the essence of robust control system design portrayed in text-based examples; MDL-files for simulation of open- and closed-loop systems in Simulink; and a solutions manual available free of charge to those adopting Robust Control Design with MATLAB as a textbook for courses. Robust Control Design with MATLAB is for graduate students and practising engineers who want to learn how to deal with robust control design problems without spending a lot of time in researching complex theoretical developments.

Robust control design with MATLAB

Given the square matrices $A, B, D, E$ and the matrix $C$ of conforming dimensions, we consider the linear matrix equation $A{\mathbf X} E+D{\mathbf X} B = C$ in the unknown matrix ${\mathbf X}$. Our aim is to provide an overview of the major algorithmic developments that have taken place over the past few decades in the numerical solution of this and related problems, which are producing reliable numerical tools in the formulation and solution of advanced mathematical models in engineering and scientific computing.

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Computational Methods for Linear Matrix Equations

http://faculty.petra.ac.id/resmana/private/matlab-help/pdf_doc/robust/robust.pdf

Robust Control Toolbox™ User's Guide

Numerical matrix computations linear control systems solution of state equations stability, controllability and observability computations pole assignment solution of matrix Riccati equations computations in geometric linear systems theory.

Computational methods for linear control systems

Provides a review of the book of the above title by M Konstantinov, D Gu, V Mehrmann, P Petkov (Amsterdam, The Netherlands: Elsevier, 2003)

Perturbation Theory for Matrix Equations

The article discussed the sensitivity of a certain problems of linear control theory, including pole assignment, full state feedback linear quadratic control and H/sub /spl infin// control. It was demonstrated that the mathematical formulation and the splitting of the problem into subproblems are essential factors in the conditioning of these problems. It was also shown that standard approaches implemented in numerical toolboxes, which present widely accepted approaches in numerical control, may face problems due to ill conditioning. Some of these problems can be avoided by reformulating the problem, but several open problems remain. To assess the accuracy of calculations and to trust numerical results, such condition and accuracy estimates should accompany computational procedures and must be included in the corresponding computer codes. Users must be aware of possible difficulties accompanying the computational process and know how to avoid them. The issues should also become an essential part of the curriculum for scientist and engineers in learning how to use and develop modern computational software.

/pdf/the-sensitivity-of-computational-control-problems-2g5rlpbp68.pdf

Mihail M. Konstantinov

Papers

Robust control design with MATLAB

Computational methods for linear control systems

Perturbation Theory for Matrix Equations

The sensitivity of computational control problems

Robust Control Design with MATLAB® (Advanced Textbooks in Control and Signal Processing)