Abstract
Consider a control system operating in the presence of disturbances, and given reference inputs which define the desired profiles of controlled variables. Accordingly, the behaviour of control system in the case of linear controlled plant is described by linear non-homogeneous differential equation
where f (t) ∈ℝ1 is the vector characterizing external actions. If the error coordinates are substituted in the state vector for the controlled variables, reference inputs will play a part of disturbances in the new space. Assume that (10.1) is written after such a substitution, vector f (t) then is just a disturbing action, and it is desirable to reduce its effect upon the system behaviour or eliminate it at all. This problem is pivotal in the invariance theory. Let us discuss in short the ideas that may underlie the design of invariant systems.
Keywords
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
Author information
Authors and Affiliations
Rights and permissions
Copyright information
© 1992 Springer-Verlag Berlin, Heidelberg
About this chapter
Cite this chapter
Utkin, V.I. (1992). Control of Linear Plants in the Presence of Disturbances. In: Sliding Modes in Control and Optimization. Communications and Control Engineering Series. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-84379-2_10
Download citation
DOI: https://doi.org/10.1007/978-3-642-84379-2_10
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-84381-5
Online ISBN: 978-3-642-84379-2
eBook Packages: Springer Book Archive