The Institute for Systems Theory and Automatic Control MATLAB Apps

The Institute for Systems Theory and Automatic Control

Intermediate

App

Theory

Link to External Site

https://www.ist.uni-stuttgart.de/teaching/elearning/matlab-apps/

The Institute for Systems Theory and Automatic Control offers 5 Matlab Apps on the topics of the Nyquist Criterion, Robustness and Stability, Loopshaping, Controllability and Observability, and an application example. The relevant skills are taught in the lecture "Einführung in die Regelungstechnik".

The IST Matlab Apps were delevoped at the Institute for Systems Theory and Automatic Control of the University of Stuttgart and accompany the lecture "Einführung in die Regelungstechnik". The students may use them to apply the material from the lecture on randomly generated exercises in order to practice newly learnt concepts and deepen their understanding. There is an English and a German version of all Matlab apps.

This resource is included in the following topics and journeys:

Topic
Journeys

5 items

Stability Theory

In mathematics, stability theory addresses the stability of solutions of differential equations and of trajectories of dynamical systems under small perturbations of initial conditions. The heat equation, for example, is a stable partial differential equation because small perturbations of initial data lead to small variations in temperature at a later time as a result of the maximum principle. In partial differential equations one may measure the distances between functions using Lp norms or... See More

Controllability

Controllability is an important property of a control system, and the controllability property plays a crucial role in many control problems, such as stabilization of unstable systems by feedback, or optimal control. Controllability and observability are dual aspects of the same problem. Roughly, the concept of controllability denotes the ability to move a system around in its entire configuration space using only certain admissible manipulations. The exact definition varies slightly within the... See More

Loop Shaping

Loop shaping is a technique used for designing controllers that operate on linear-time invariant systems. Its name is derived from shaping the magnitude and phase response for the open loop system - that is, shaping the response such that the open loop transfer function has desirable characteristics. See More

Nyquist Stability Criterion

In control theory and stability theory, the Nyquist stability criterion or Strecker–Nyquist stability criterion, independently discovered by the German electrical engineer Felix Strecker at Siemens in 1930 and the Swedish-American electrical engineer Harry Nyquist at Bell Telephone Laboratories in 1932, is a graphical technique for determining the stability of a dynamical system. Because it only looks at the Nyquist plot of the open loop systems, it can be applied without explicitly computing... See More

Observability

In control theory, observability is a measure of how well internal states of a system can be inferred from knowledge of its external outputs. The observability and controllability of a linear system are mathematical duals. The concept of observability was introduced by Hungarian-American engineer Rudolf E. Kálmán for linear dynamic systems. A dynamical system designed to estimate the state of a system from measurements of the outputs is called a state observer or simply an observer for that... See More

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