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Fault Tolerant Control for Nonlinear Systems: Sum-of-Squares Optimization Approach

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2 Author(s)
Hong-Jun Ma ; College of Information Science and Engineering, Northeastern University, Shenyang 110004, China. ; Guang-Hong Yang

In this paper, the fault tolerant control problem of nonlinear systems against actuator failures is considered. By representing the open-loop nonlinear systems in a state dependent linear-like polynomial form and implementing a special class of Lyapunov functions, the above problem can be formulated in terms of state dependent linear polynomial inequalities. Semidefinite programming relaxations based on the sum of squares decomposition are then used to efficiently solve such inequalities.

Published in:

2007 IEEE International Conference on Control Applications

Date of Conference:

1-3 Oct. 2007