Controllability and observability of networked control systems with time-varying delays |
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Authors: | Li Jinna Zhang Qingling Li Yuan |
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Institution: | 1. Inst.of Systems Science,Northeastern Univ.,Shenyang 110004,P.R.China;Dept.of Mathematics and Physics,Shenyang Inst.of Chemical Technology,Shenyang 110142,P.R.China 2. Inst.of Systems Science,Northeastern Univ.,Shenyang 110004,P.R.China |
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Abstract: | The controllability and observability of networked control systems are studied. Aiming at the networked control system with time-varying delay, the sufficient and necessary conditions for complete controllability and complete observability of the system are presented, respectively. Because of Markov characteristic of the network-induced delay, in terms of stochastic theory, a sufficient and necessary condition for completely mean value controllability of networked control systems is obtained. Further, the conditions that the controllability and observability of networked control systems are equivalent to the initial time-invariant system are given. Controllability and observability realization indexes are also discussed, respectively. The numerical example demonstrates the effectiveness of the proposed theory. |
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Keywords: | networked control system controllability observability controllability realization index observability realization index |
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