What is it about?

Maximum hands-off control is a control that maximises the time duration on which the control is 0. Maximum hands-off control is a kind of green control, since the control can maximally stop actuators, such as a gasoline engine, so that CO2 emission, vibration, and noise can be reduced. The optimal control is described as an L0 optimal control, which is non-convex and discontinuous, and it is shown to be equivalent to convex and continuous L1 optimal control under a simple assumption, called normality. We also extend the finite-horizon maximum hands-off control to model predictive control (MPC) and provide stability conditions.

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Why is it important?

In view of application, maximum hands-off control has great potential to revolutionise 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, which has been recently investigated in wide area of research such as signal processing, machine learning, statistics, etc.

Perspectives

This is a pioneering work of sparse control, also known as maximum hands-off control. This paper was awarded IEEE CSS George S. Axelby outstanding paper award in 2018.

Dr Masaaki Nagahara
The University of Kitakyushu

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This page is a summary of: Maximum Hands-Off Control: A Paradigm of Control Effort Minimization, IEEE Transactions on Automatic Control, March 2016, Institute of Electrical & Electronics Engineers (IEEE),
DOI: 10.1109/tac.2015.2452831.
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