NDLI: Overview of linear time-invariant interval observer design: towards a non-smooth optimisation-based approach

Content Provider	IET Digital Library
Author	Chambon, Emmanuel Burlion, Laurent Apkarian, Pierre
Abstract	Some applications in control require the state vector of a system to be expressed in the appropriate coordinates so as to satisfy to some mathematical properties which constrain the studied system dynamics. This is the case with the theory of linear interval observers which are trivial to implement on cooperative systems, a rather limited class of control systems. The available literature shows how to enforce this limiting cooperativity condition for any considered system through a state-coordinate transformation. This study proposes an overview of the existing numerical techniques to determine such a transformation. It is shown that in spite of being practical, these techniques have some limitations. Consequently, a reformulation of the problem is proposed so as to apply non-smooth control design techniques. A solution is obtained in both the continuous- and discrete-time frameworks. Interestingly, the new method allows to formulate additional control constraints. Simulations are performed on three examples.
Starting Page	1258
Ending Page	1268
Page Count	11
ISSN	17518644
Volume Number	10
e-ISSN	17518652
Issue Number	Issue 11, Jul (2016)
Alternate Webpage(s)	https://digital-library.theiet.org/content/journals/iet-cta/10/11
Alternate Webpage(s)	https://digital-library.theiet.org/content/journals/10.1049/iet-cta.2015.0742
Journal	IET Control Theory & Applications
Publisher Date	2016-07-18
Access Restriction	Open
Rights Holder	© The Institution of Engineering and Technology
Subject Keyword	Continuous Time System Continuous-time System Discrete Control System Discrete Time System Discrete-time System Linear System Linear Time-invariant Interval Observer Design Modelling And Identification Nonsmooth Optimisation-based Approach Observers Optimisation Optimisation Technique Simulation State Vector State-coordinate Transformation
Content Type	Text
Resource Type	Article
Subject	Control and Optimization Control and Systems Engineering Human-Computer Interaction Electrical and Electronic Engineering Computer Science Applications

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