Control with constraints for linear stationary systems: An interpolation approach

We propose a new approach to controlling a discrete linear stationary system with a polyhedral constraint on the state and input. The basic idea is to use interpolation. The control law has both explicit and implicit forms. In the implicit form, at any moment of time, at most two linear programming...

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Bibliographic Details
Published in:	Automation and remote control Vol. 75; no. 1; pp. 57 - 74
Main Authors:	Nguyen, H. -N., Gutman, P. -O., Olaru, S., Hovd, M.
Format:	Journal Article
Language:	English
Published:	Boston Springer US 2014 MAIK Nauka/Interperiodica
Subjects:	Asymptotic properties Automatic CAE) and Design Calculus of Variations and Optimal Control; Optimization Computer-Aided Engineering (CAD Control Control systems Engineering Sciences Interpolation Law Linear Systems Mathematics Mathematics and Statistics Mechanical Engineering Mechatronics Realizability Recursive Remote control Robotics Stability Systems Theory Vertex Control Model Predictive Control Remote Control Linear Stationary System Polyhedral Cell
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Summary:	We propose a new approach to controlling a discrete linear stationary system with a polyhedral constraint on the state and input. The basic idea is to use interpolation. The control law has both explicit and implicit forms. In the implicit form, at any moment of time, at most two linear programming problems are solved online. In the explicit form, the control law contains piecewise affine and continuous functions of state. This method can be viewed as an alternative to predictive control. We show proofs of recursive realizability and asymptotic stability.
Bibliography:	ObjectType-Article-2 SourceType-Scholarly Journals-1 ObjectType-Feature-1 content type line 23
ISSN:	0005-1179 1608-3032
DOI:	10.1134/S0005117914010044