What is it about?
This paper proposes sparse control, also known as maximum hands-off control, for discrete-time systems. The equivalence between L0 and L1 optimal controls is also discussed. Then, the control is extended to feedback control using model predictive control (MPC).
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Why is it important?
In view of application, maximum hands-off control has great potential to revolutionize the industry for its green characteristic; saving energy, reducing CO2, and eliminating vibration/noise, as mentioned above. On the other hand, in view of control theory, the paper gives a new theorem of the equivalence of L0 optimality and L1 optimality in the discrete-time domain, which has been recently investigated in wide area of research such as signal processing, machine learning, statistics, etc.
Read the Original
This page is a summary of: Discrete-time hands-off control by sparse optimization, EURASIP Journal on Advances in Signal Processing, June 2016, Springer Science + Business Media, DOI: 10.1186/s13634-016-0372-9.
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Sparsity Methods for Systems and Control (Open Access Book)
This is an open-access book on sparsity methods, including maximum hands-off control.
Slides, Lecture videos, and MATLAB codes
The first author published an open-access book on maximum hands-off control. This web page provides slides, lecture videos, and MATLAB codes for sparsity methods for systems and control including maximum hands-off control.
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