H ∞ control for discrete-time nonlinear Markov jump systems with multiplicative noise and sector constraint
SUMMARYThis paper addresses the finite horizon H ∞ control problem for a class of discrete‐time nonlinear Markov jump systems with multiplicative noise and nonlinear feedback device. The system nonlinearity occurs in a random way specified by a Bernoulli process, whereas the actuator and sensor non...
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Published in | International journal of robust and nonlinear control Vol. 24; no. 16; pp. 2347 - 2364 |
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Format | Journal Article |
Language | English |
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10.11.2014
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Abstract | SUMMARYThis paper addresses the finite horizon H ∞ control problem for a class of discrete‐time nonlinear Markov jump systems with multiplicative noise and nonlinear feedback device. The system nonlinearity occurs in a random way specified by a Bernoulli process, whereas the actuator and sensor nonlinearities are restricted to a sector region. Both the state and the dynamic output feedback H ∞ controllers are devised in terms of difference LMIs. The proposed approach not only allows the resulting system to achieve a prescribed disturbance attenuation level, but also enables the output of actuator/sensor to meet the designated sector condition. Moreover, it is also shown that our approach is well‐adapted for dealing with the discrete‐time Markov jump systems with saturated actuator and sensor. Finally, a backward iterative algorithm is provided to solve the obtained difference LMIs and a numerical example is presented to verify the efficiency of the theoretical results. Copyright © 2013 John Wiley & Sons, Ltd. |
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AbstractList | SUMMARYThis paper addresses the finite horizon H ∞ control problem for a class of discrete‐time nonlinear Markov jump systems with multiplicative noise and nonlinear feedback device. The system nonlinearity occurs in a random way specified by a Bernoulli process, whereas the actuator and sensor nonlinearities are restricted to a sector region. Both the state and the dynamic output feedback H ∞ controllers are devised in terms of difference LMIs. The proposed approach not only allows the resulting system to achieve a prescribed disturbance attenuation level, but also enables the output of actuator/sensor to meet the designated sector condition. Moreover, it is also shown that our approach is well‐adapted for dealing with the discrete‐time Markov jump systems with saturated actuator and sensor. Finally, a backward iterative algorithm is provided to solve the obtained difference LMIs and a numerical example is presented to verify the efficiency of the theoretical results. Copyright © 2013 John Wiley & Sons, Ltd. SUMMARY This paper addresses the finite horizon H[infin] control problem for a class of discrete-time nonlinear Markov jump systems with multiplicative noise and nonlinear feedback device. The system nonlinearity occurs in a random way specified by a Bernoulli process, whereas the actuator and sensor nonlinearities are restricted to a sector region. Both the state and the dynamic output feedback H[infin] controllers are devised in terms of difference LMIs. The proposed approach not only allows the resulting system to achieve a prescribed disturbance attenuation level, but also enables the output of actuator/sensor to meet the designated sector condition. Moreover, it is also shown that our approach is well-adapted for dealing with the discrete-time Markov jump systems with saturated actuator and sensor. Finally, a backward iterative algorithm is provided to solve the obtained difference LMIs and a numerical example is presented to verify the efficiency of the theoretical results. Copyright © 2013 John Wiley & Sons, Ltd. |
Author | Jia, Yingmin Ma, Hongji |
Author_xml | – sequence: 1 givenname: Hongji surname: Ma fullname: Ma, Hongji email: Correspondence to: Hongji Ma, The Seventh Research Division, the Department of Systems and Control, LMIB, Beihang University (BUAA), Beijing, 100083, P.R. China., hongjima@ss.buaa.edu.cn organization: The Seventh Research Division, the Department of Systems and Control, LMIB, Beihang University (BUAA), Beijing, 100083, P.R. China – sequence: 2 givenname: Yingmin surname: Jia fullname: Jia, Yingmin organization: The Seventh Research Division, the Department of Systems and Control, LMIB, Beihang University (BUAA), Beijing, 100083, P.R. China |
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limits publication-title: IEEE Transactions on Automatic Control |
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Snippet | SUMMARYThis paper addresses the finite horizon H ∞ control problem for a class of discrete‐time nonlinear Markov jump systems with multiplicative noise and... SUMMARY This paper addresses the finite horizon H[infin] control problem for a class of discrete-time nonlinear Markov jump systems with multiplicative noise... |
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SubjectTerms | difference linear matrix inequality H ∞ control Markov jump multiplicative noise randomly occurring nonlinearity sector condition |
Title | H ∞ control for discrete-time nonlinear Markov jump systems with multiplicative noise and sector constraint |
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