Title | ||
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Constrained networked control systems stabilization: A λ-D-contractive set based approach. |
Abstract | ||
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The paper embraces the stabilization problem of Networked Control Systems ‘NCSs’ with a specific attention to linear dynamical systems affected by uncertain, possibly time-varying, network-induced delays in the presence of input and state constraints. Two main theoretical results are presented. First, we address the computation of a polyhedral control Lyapunov-Razumikhin Function ‘pcLRF’ using 1-step controllability sets. Furthermore, we show that adopting ‘pcLRF’ instead of quadratic control Lyapunov-Razumikhin Function ‘qcLRF’ reduces the conservativeness of ‘LRF’ based control design. Second, based on the first result, we show that polyhedral λ-D-contractive sets can be used as a target set in a Set Induced Lyapunov Function ‘SILF’ control fashion where a simple Linear Programming ‘LP’ problem is required to be solved at each sampling instance. We prove that the proposed controller, under mild assumptions, is able to handle state/input constraints, and ensures asymptotic stability for all initial states belonging to a predefined set. |
Year | Venue | Field |
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2017 | ASCC | Linear dynamical system,Lyapunov function,Control theory,Controllability,Control theory,Computer science,Quadratic equation,Exponential stability,Linear programming,Control system |
DocType | Citations | PageRank |
Conference | 0 | 0.34 |
References | Authors | |
0 | 3 |
Name | Order | Citations | PageRank |
---|---|---|---|
Mohammed-Tahar Laraba | 1 | 0 | 0.34 |
Sorin Olaru | 2 | 267 | 47.10 |
Silviu-iulian Niculescu | 3 | 821 | 108.06 |