An efficient approach to stabilization for linear systems subject to output saturation

This paper studies the stabilization problem for controllable and observable linear systems subject to output saturation. An efficient approach to global asymptotical stabilization is proposed, where multiple output components can be collectively steered to escape from saturation. This differs from previous approaches in which each output component is driven one by one. Sufficient conditions for collectively driving all output elements are presented in single-batch driven strategy. In the case of the above sufficient conditions not being satisfied, a multi-batch driven strategy is constructed to guarantee that each component is steered away from saturation at least once. Moreover, an algorithm is put forward for selecting controller parameters in the multi-batch driven case. Finally, numerical examples are given to demonstrate the effectiveness of the proposed methods.(c) 2023 Elsevier Ltd. All rights reserved.