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Design of Feedback Systems with Robust Observers

Student: Skobeleva Ekaterina

Supervisor: Vladimir Ivanovich Kapalin

Faculty: Faculty of Applied Mathematics and Cybernetics

Educational Programme: Specialist

Year of Graduation: 2014

<p style="text-align: justify;">Degree work on specialty 230401.65 &quot;Applied Mathematics&quot; student of group M-96 Skobeleva Ekaterina on:</p><p style="text-align: justify;">&nbsp;</p><p style="text-align: justify;">Design of Feedback Systems with Robust Observer</p><p style="text-align: justify;">&nbsp;</p><p style="text-align: justify;">97 p., 44 fig, 6 sources.</p><p style="text-align: justify;">&nbsp;</p><p style="text-align: justify;">CORE MATLAB, SIMULINK, DYNAMICAL SYSTEM, METHODS OF STATE SPACE, CONTROLLABILITY, OBSERVABILITY, ROBUSTNESS, ROBUST PROPERTIES, DESIGN OBSERVERS, OBSERVER FULL DIMENSION</p><p style="text-align: justify;">&nbsp;</p><p style="text-align: justify;">This work describes modeling of control systems in the MATLAB&rsquo;s core extensions without using Control System Toolbox and Robust Control Toolbox.</p><p style="text-align: justify;">Math program MATLAB is the main tool for solving a large set of applications and scientific problems.</p><p style="text-align: justify;">The MATLAB&rsquo;s core allows easy work with analytical matrices, complex and real data types, lookup tables, data structures. Control System Toolbox and Robust Control Toolbox are sets of MATLAB&#39;s tools packages, extending its basic functionality. These sets were designed specifically to facilitate the analysis and synthesis of dynamic problems, design and simulation of control systems.</p><p style="text-align: justify;">In this work, these extensions are not used, because the aim of this article was to build control systems using only the core system functions MATLAB.&nbsp; The second part of the article uses the graphics extension package &nbsp;Simulink to study robust properties of full dimension observers.</p><p style="text-align: justify;">The first part deals with the method of the state space. This part is about &nbsp;method model, transformation and solution of the equations in the state space, the cases of controllability and observability of dynamical systems, the synthesis of feedback systems in the core of MATLAB.</p><p style="text-align: justify;">The second part is devoted to the study of the robust properties of full dimension observers, in case of a linear system and two nonlinear systems. Systems modeling and studying of the properties of observers were conducted by MATLAB&#39;s extension package, Simulink.</p>

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