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FaultTolerant Controller Design with Applications in Power Systems and Synthetic Biology 
Abstract 
This paper deals with faulttolerant contr … This paper deals with faulttolerant controller design for linear timeinvariant (LTI) systems with multiple actuators. Given some critical subsets of the actuators, it is assumed that every combination of actuators can fail as long as the set of the remaining actuators includes one of these subsets. Motivated by electric power systems and biological systems, the goal is to design a controller so that the closedloop system satisfies two properties: (i) stability under all permissible sets of faults and (ii) better performance after clearing every subset of the existing faults in the system. It is shown that a statefeedback controller satisfying these properties exists if and only if a linear matrix inequality (LMI) problem is feasible. This LMI condition is then transformed into an optimalcontrol condition, which has a useful interpretation. The results are also generalized to outputfeedback and decentralized control cases. The efficacy of this work is demonstrated by designing faulttolerant speed governors for a power system. The results developed here can be extended to more general types of faults, where each fault can possibly affect all statespace matrices of the system. ct all statespace matrices of the system. +


Authors  Somayeh Sojoudi, Javad Lavaei and Richard M Murray + 
ID  2010p + 
Source  2011 American Control Conference (ACC) + 
Tag  slm11acc + 
Title  FaultTolerant Controller Design with Applications in Power Systems and Synthetic Biology + 
Type  Conference Paper + 
Categories  Papers 
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15 May 2016 06:16:10 + 
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http://www.cds.caltech.edu/~murray/preprints/slm11acc.pdf + 
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FaultTolerant Controller Design with Applications in Power Systems and Synthetic Biology +  Title 
