## Abstract

This paper discusses an approach for closed loop
robustness evaluation of nonlinear networked control systems (NCSs). The continuous-time nonlinear multi-input plant is controlled via several predesigned nonlinear discrete-time controllers which are connected to the plant through a time-triggered communication network. In particular, the communication scheduling for the actuator signals are considered. Input-multiplicative uncertainty is investigated using an l2-gain approach. For this, an overall model of the closed-loop system is derived. The plant is discretized using a Lie-algebraic approach, while a model of the communication network and the actuator uncertainty is augmented to the discrete plant. A lifting approach allows for nonlinear Lyapunov based l2-gain computation using a Sum of-Square (SOS) optimization. A numerical example shows the effectiveness of the approach.

Translated title of the contribution | Robustness-verification in Networked Control Systems via Sum-of-square Approach |
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Original language | English |

Title of host publication | 21th IEEE International Symposium on Industrial Electronics |

Number of pages | 6 |

Publication status | Published - 2012 |