Output Feedback Control of Markovian Jump Repeated Scalar Nonlinear Systems
This paper is concerned with the induced ℓ 2 dynamic output feedback controller (DOFC) design problem for discrete-time Markovian jump repeated scalar nonlinear systems. By employing both the switching-sequence dependent Lyapunov function approach and the positive definite diagonally dominant Lyapun...
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| Published in | IEEE transactions on automatic control Vol. 59; no. 1; pp. 199 - 204 |
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| Main Authors | , , |
| Format | Journal Article |
| Language | English |
| Published |
IEEE
01.01.2014
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| Subjects | |
| Online Access | Get full text |
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| Abstract | This paper is concerned with the induced ℓ 2 dynamic output feedback controller (DOFC) design problem for discrete-time Markovian jump repeated scalar nonlinear systems. By employing both the switching-sequence dependent Lyapunov function approach and the positive definite diagonally dominant Lyapunov function technique, a sufficient condition is first established, which guarantees the underlying system to be stochastically stable with an induced ℓ 2 disturbance attenuation performance. Then the desired full- or reduced-order DOFCs are designed by using projection approach. Cone complementarity linearization procedure is employed to cast the nonconvex feasibility problem into a sequential minimization problem. Finally, a numerical example is presented to show the effectiveness of the proposed methods. |
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| AbstractList | This paper is concerned with the induced ℓ 2 dynamic output feedback controller (DOFC) design problem for discrete-time Markovian jump repeated scalar nonlinear systems. By employing both the switching-sequence dependent Lyapunov function approach and the positive definite diagonally dominant Lyapunov function technique, a sufficient condition is first established, which guarantees the underlying system to be stochastically stable with an induced ℓ 2 disturbance attenuation performance. Then the desired full- or reduced-order DOFCs are designed by using projection approach. Cone complementarity linearization procedure is employed to cast the nonconvex feasibility problem into a sequential minimization problem. Finally, a numerical example is presented to show the effectiveness of the proposed methods. |
| Author | Peng Shi Xiaojie Su Ligang Wu |
| Author_xml | – sequence: 1 givenname: Ligang surname: Wu fullname: Wu, Ligang – sequence: 2 givenname: Xiaojie surname: Su fullname: Su, Xiaojie – sequence: 3 givenname: Peng surname: Shi fullname: Shi, Peng |
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| Title | Output Feedback Control of Markovian Jump Repeated Scalar Nonlinear Systems |
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