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Stabilization of second-order systems by non-linear feedback

Paweł Skruch — 2004

International Journal of Applied Mathematics and Computer Science

A stabilization problem of second-order systems by non-linear feedback is considered. We discuss the case when only position feedback is available. The non-linear stabilizer is constructed by placing actuators and sensors in the same location and by using a parallel compensator. The stability of the closed-loop system is proved by LaSalle's theorem. The distinctive feature of the solution is that no transformation to a first-order system is invoked. The results of analytic and numerical computations...

Applications of mathematics in selected control and decision processes

Jerzy Baranowski;  Marek Długosz;  Michał Ganobis;  Paweł Skruch;  Wojciech Mitkowski — 2011

Mathematica Applicanda

Rapid development of computer science in recent years allowed more detailed analysis and synthesis of control systems for complex processes and supports decision making in different practical areas. Discoveries in mathematical nature of the universe stimulate representatives of technical sciences to actions leading into planned affecting of real objects. Practical verification of engineers ideas in many cases is effective and leads to meaningful results. In control of dynamical systems the following...

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