Control Theory for Linear Systems

Control theory for linear systems

Linear theory for control of nonlinear stochastic systems.

We address the role of noise and the issue of efficient computation in stochastic optimal control problems. We consider a class of nonlinear control problems that can be formulated as a path integral and where the noise plays the role of temperature. The path integral displays symmetry breaking and there exists a critical noise value that separates regimes where optimal control yields qualitati...

Geometric Control Theory for Linear Systems: a Tutorial

This paper reviews in a condensed form the main tools and results of the geometric approach developed in the last forty years. Because of the vastness of the subject, this tutorial does not pretend to be exhaustive, and more emphasis will be given to selected topics and to the related computational tools. The authors hope their effort to provide a unified view of geometric control theory may be...

adaptive and sliding mode control for non- linear systems

this paper deals with a globally convergent adaptive and sliding mode control of a cart-pole inverted pendulum for trajectory tracking in the presence of a bounded measurement noise and parameter uncertainty. two kinds of controllers have been used for evaluation of tracking error in presence of a bounded noise; as a result, we want to compare that at what time we can see the convergence of tra...

a new type-ii fuzzy logic based controller for non-linear dynamical systems with application to 3-psp parallel robot

abstract type-ii fuzzy logic has shown its superiority over traditional fuzzy logic when dealing with uncertainty. type-ii fuzzy logic controllers are however newer and more promising approaches that have been recently applied to various fields due to their significant contribution especially when the noise (as an important instance of uncertainty) emerges. during the design of type- i fuz...