Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4629125 | Applied Mathematics and Computation | 2013 | 8 Pages |
Abstract
This paper proposes a static output feedback controller design technique for bilinear systems. Based on Lyapunov’s direct method, a nonlinear control law is derived to stabilize the system in the presence of external disturbances. Sufficient condition is derived in terms of a state-dependent nonlinear matrix inequality and then it is converted into a sum-of-squares (SOS) optimization problem. Semidefinite programming and SOS decomposition techniques are employed to solve the optimization problem. The obtained output feedback controller guarantees an upper bound of the performance index. The effectiveness of the proposed method is demonstrated through simulation results.
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Dongyeop Kang, Sangchul Won, Yu Jin Jang,