Annika Fürnsinn, Christian Ebenbauer, Bahman Gharesifard
Published 2024-04-11Version 1
In this paper, we develop a systematic method for constructing a generalized discrete-time control Lyapunov function for the flexible-step Model Predictive Control (MPC) scheme, recently introduced in [3], when restricted to the class of linear systems. Specifically, we show that a set of Linear Matrix Inequalities (LMIs) can be used for this purpose, demonstrating its tractability. The main consequence of this LMI formulation is that, when combined with flexible-step MPC, we can effectively stabilize switched control systems, for which no quadratic common Lyapunov function exists.
Efficient Method for Computing Lower Bounds on the $p$-radius of Switched Linear Systems
Lower Bounds on Complexity of Lyapunov Functions for Switched Linear Systems
Topological Entropy Bounds for Switched Linear Systems with Lie Structure
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