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On robust stability of neutral systems

Silviu-Iulian Niculescu — 2001

Kybernetika

This paper focuses on the problem of uniform asymptotic stability of a class of linear neutral systems including some constant delays and time-varying cone-bounded nonlinearities. Sufficient stability conditions are derived by taking into account the weighting factors describing the nonlinearities. The proposed results are applied to the stability analysis of a class of lossless transmission line models.

Predictive control for trajectory tracking and decentralized navigation of multi-agent formations

Ionela ProdanSorin OlaruCristina StoicaSilviu-Iulian Niculescu — 2013

International Journal of Applied Mathematics and Computer Science

This paper addresses a predictive control strategy for a particular class of multi-agent formations with a time-varying topology. The goal is to guarantee tracking capabilities with respect to a reference trajectory which is pre-specified for an agent designed as the leader. Then, the remaining agents, designed as followers, track the position and orientation of the leader. In real-time, a predictive control strategy enhanced with the potential field methodology is used in order to derive a feedback...

Control of distributed delay systems with uncertainties: a generalized Popov theory approach

The paper deals with the generalized Popov theory applied to uncertain systems with distributed time delay. Sufficient conditions for stabilizing this class of delayed systems as well as for γ -attenuation achievement are given in terms of algebraic properties of a Popov system via a Liapunov–Krasovskii functional. The considered approach is new in the context of distributed linear time-delay systems and gives some interesting interpretations of H memoryless control problems in terms of Popov triplets...

Robust MPC for actuator-fault tolerance using set-based passive fault detection and active fault isolation

Feng XuVicenç PuigCarlos Ocampo-MartinezSorin OlaruSilviu-Iulian Niculescu — 2017

International Journal of Applied Mathematics and Computer Science

In this paper, a fault-tolerant control (FTC) scheme is proposed for actuator faults, which is built upon tube-based model predictive control (MPC) as well as set-based fault detection and isolation (FDI). In the class of MPC techniques, tubebased MPC can effectively deal with system constraints and uncertainties with relatively low computational complexity compared with other robust MPC techniques such as min-max MPC. Set-based FDI, generally considering the worst case of uncertainties, can robustly...

On generalized Popov theory for delay systems

This paper focuses on the Popov generalized theory for a class of some linear systems including discrete and distributed delays. Sufficient conditions for stabilizing such systems as well as for coerciveness of an appropriate quadratic cost are developed. The obtained results are applied for the design of a memoryless state feedback control law which guarantees the (exponential) closed-loop stability with an 2 norm bound constraint on disturbance attenuation. Note that the proposed results extend...

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