期刊
IEEE TRANSACTIONS ON AUTOMATIC CONTROL
卷 62, 期 6, 页码 2750-2763出版社
IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC
DOI: 10.1109/TAC.2016.2627683
关键词
Convex optimization; discrete-valued control; model predictive control; optimal control
资金
- JSPS KAKENHI [16H01546, 15K14006, 15H02668, 15H06197]
- Grants-in-Aid for Scientific Research [15H06197, 15H02668, 15K14006, 17K12710, 16H01546] Funding Source: KAKEN
In this paper, we propose a new design method of discrete-valued control for continuous-time linear time-invariant systems based on sum-of-absolute-values (SOAV) optimization. We first formulate the discrete-valued control design as a finite-horizon SOAV optimal control, which is an extended version of L1 optimal control. We then give simple conditions that guarantee the existence, discreteness, and uniqueness of the SOAV optimal control. Also, we show that the value function is continuous, by which we prove the stability of infinite-horizon model predictive SOAV control systems. We provide a fast algorithm for the SOAV optimization based on the alternating direction method of multipliers (ADMM), which has an important advantage in real-time control computation. A simulation result shows the effectiveness of the proposed method.
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