A new iterative algorithm for solving H∞ control problem of continuous‐time Markovian jumping linear systems based on online implementation |
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| Authors: | Jun Song Shuping He Zhengtao Ding Fei Liu |
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| Affiliation: | 1. School of Electrical Engineering and Automation, Anhui University, Hefei, China;2. School of Information Science and Engineering, East China University of Science and Technology, Shanghai, China;3. Control Systems Center, School of Electrical and Electronic Engineering, The University of Manchester, Manchester, UK;4. Key Laboratory of Advanced Process Control for Light Industry (Ministry of Education), Institute of Automation, Jiangnan University, Wuxi, China |
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| Abstract: | A new online iterative algorithm for solving the H∞ control problem of continuous‐time Markovian jumping linear systems is developed. For comparison, an available offline iterative algorithm for converging to the solution of the H∞ control problem is firstly proposed. Based on the offline iterative algorithm and a new online decoupling technique named subsystems transformation method, a set of linear subsystems, which implementation in parallel, are obtained. By means of the adaptive dynamic programming technique, the two‐player zero‐sum game with the coupled game algebraic Riccati equation is solved online thereafter. The convergence of the novel policy iteration algorithm is also established. At last, simulation results have illustrated the effectiveness and applicability of these two methods. Copyright © 2016 John Wiley & Sons, Ltd. |
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| Keywords: | Markov jump linear systems (MJLSs) H∞ control subsystems transformation coupled game algebraic Riccati equation (CGARE) online |
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