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Optimal control-decision strategy for wireless networked control systems with structural variation and packet dropout

机译：Optimal control-decision strategy for wireless networked control systems with structural variation and packet dropout

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摘要

This article takes into account a class of wireless networked control systems in which the plant structure is subject to random abrupt variations and signals may be lost due to packet dropout over unreliable transmission channels. Firstly, a discrete-time Markovian jump linear system with two independent Markov chains is established to model such systems where structural variation is governed by one Markov chain while packet dropout is governed by another. Secondly, a control-decision strategy is introduced where decision is utilized to decrease signal losses and controller is to guarantee system stability. Meanwhile, a generalized quadratic performance with both control and decision cost is formulated to evaluate the proposed strategy. For the optimization of such generalized performance, an optimal control-decision strategy, which is dependent on the decision, can then be deduced via stochastic dynamic programming. Based on this, a gradient descent algorithm is proposed for obtaining the optimal decision together with its convergence proof. Numerical examples illustrate the effectiveness of the proposed strategy.

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