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L2 performance induced by feedbacks with multiple saturations

Andrew R. Teel (2010)

ESAIM: Control, Optimisation and Calculus of Variations

Multi-level saturation feedbacks induce nonlinear disturbance-to-state L2 stability for nonlinear systems in feedforward form. This class of systems includes linear systems with actuator constraints.

Leader-following consensus of multiple linear systems under switching topologies: An averaging method

Wei Ni, Xiaoli Wang, Chun Xiong (2012)

Kybernetika

The leader-following consensus of multiple linear time invariant (LTI) systems under switching topology is considered. The leader-following consensus problem consists of designing for each agent a distributed protocol to make all agents track a leader vehicle, which has the same LTI dynamics as the agents. The interaction topology describing the information exchange of these agents is time-varying. An averaging method is proposed. Unlike the existing results in the literatures which assume the LTI...

Linear adaptive structure for control of a nonlinear MIMO dynamic plant

Stanisław Bańka, Paweł Dworak, Krzysztof Jaroszewski (2013)

International Journal of Applied Mathematics and Computer Science

In the paper an adaptive linear control system structure with modal controllers for a MIMO nonlinear dynamic process is presented and various methods for synthesis of those controllers are analyzed. The problems under study are exemplified by the synthesis of a position and yaw angle control system for a drillship described by a 3DOF nonlinear mathematical model of low-frequency motions made by the drillship over the drilling point. In the proposed control system, use is made of a set of (stable)...

Linear independence of boundary traces of eigenfunctions of elliptic and Stokes operators and applications

Roberto Triggiani (2008)

Applicationes Mathematicae

This paper is divided into two parts and focuses on the linear independence of boundary traces of eigenfunctions of boundary value problems. Part I deals with second-order elliptic operators, and Part II with Stokes (and Oseen) operators. Part I: Let λ i be an eigenvalue of a second-order elliptic operator defined on an open, sufficiently smooth, bounded domain Ω in ℝⁿ, with Neumann homogeneous boundary conditions on Γ = tial Ω. Let φ i j j = 1 i be the corresponding linearly independent (normalized) eigenfunctions...

Linear repetitive process control theory applied to a physical example

Krzysztof Gałkowski, Eric Rogers, Wojciech Paszke, David Owens (2003)

International Journal of Applied Mathematics and Computer Science

In the case of linear dynamics, repetitive processes are a distinct class of 2D linear systems with uses in areas ranging from long-wall coal cutting and metal rolling operations to iterative learning control schemes. The main feature which makes them distinct from other classes of 2D linear systems is that information propagation in one of the two independent directions only occurs over a finite duration. This, in turn, means that a distinct systems theory must be developed for them for onward...

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