What is it about?
This paper proposes a novel method to design discrete-valued control via convex optimization. The idea is to enhance the discreteness by minimizing the sum-of-absolute-values cost function. Under mild conditions, the optimal control is shown to be discrete-valued control on a given alphabet.
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Why is it important?
Discrete-valued control is important in networked control systems such as cyber-physical systems (CPS), the Internet of Things (IoT), Industry 4.0, etc. This paper proposes a solution to this problem that can be easily obtained by numerical convex optimization.
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This page is a summary of: Discrete-Valued Control of Linear Time-Invariant Systems by Sum-of-Absolute-Values Optimization, IEEE Transactions on Automatic Control, June 2017, Institute of Electrical & Electronics Engineers (IEEE),
DOI: 10.1109/tac.2016.2627683.
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