期刊
IEEE TRANSACTIONS ON AUTOMATIC CONTROL
卷 62, 期 8, 页码 3820-3834出版社
IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC
DOI: 10.1109/TAC.2017.2651058
关键词
Resilient systems; robustness; stabilization; switched control systems
资金
- National Science Foundation [1329875]
- Division Of Computer and Network Systems
- Direct For Computer & Info Scie & Enginr [1329875] Funding Source: National Science Foundation
This paper studies the problem of stabilizing discrete-time switched linear control systems (SLCSs) using continuous input by a user against adversarial switching by an adversary. It is assumed that at each time the adversary knows the user's decision on the continuous input but not vice versa. A quantitative metric of stabilizability is proposed. Systems at the margin of stabilizability are further classified and studied via the notions of defectiveness and reducibility. Analytical bounds on the stabilizability metric are derived using (semi)norms, with tight bounds provided by extremal norms. Numerical algorithms are also developed for computing this metric. An application example in networked control systems is presented.
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