In this paper, a general method for model order reduction of switched linear dynamical systems is presented. The proposed technique is based on the generalized gramian framework for model reduction. It is shown that d...
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In this paper, a general method for model order reduction of switched linear dynamical systems is presented. The proposed technique is based on the generalized gramian framework for model reduction. It is shown that different classical reduction methods can be developed into generalized gramian framework. Balanced reduction within specified frequency bound is developed within this framework. In order to avoid numerical instability and also to increase the numerical efficiency, generalized gramian based Petrov-Galerkin projection is constructed instead of the similarity transform approach for reduction. The method preserves the stability of the original switched system under arbitrary switching signal and is applicable to both continuous and discrete time systems. The performance of the proposed method is illustrated by numerical examples.
Small satellites gain more and more interests from both educational and academic institutions, but also from the industry. They constitute a cheap alternative to large, more expensive and more complex satellites. A co...
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Small satellites gain more and more interests from both educational and academic institutions, but also from the industry. They constitute a cheap alternative to large, more expensive and more complex satellites. A consequence of their small form factor is the lack of space for secondary payload, like advanced communication facilities. These deficiencies make it difficult to apply quality assurances concerning satellite communication links on the ground segment. Previous approaches have been primarily passive and focused only on the bit error rate of receiving links at ground stations. The results therefor covered only one direction of a bidirectional link and even if they were quite accurate in common, they were nevertheless only approximations. In this paper a novel design solution based on a small satellite cluster is going to be proposed to offer quality assurance for the ground segment in both sending and receiving directions in multiple amateur frequency bands based on high-accurate error rate information.
The aim is to develop an uninterrupted processing route to manufacture metal coils, so that the efficiency of production, as well as the quality of the product and the cost-efficiency can be improved. The traditional ...
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In this paper nonlinear fault detection for in-service monitoring and decision support systems for ships will be presented. The ship is described as a nonlinear system, and the stochastic wave elevation and the associ...
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In this paper nonlinear fault detection for in-service monitoring and decision support systems for ships will be presented. The ship is described as a nonlinear system, and the stochastic wave elevation and the associ...
In this paper nonlinear fault detection for in-service monitoring and decision support systems for ships will be presented. The ship is described as a nonlinear system, and the stochastic wave elevation and the associated ship responses are conveniently modelled in frequency domain. The transformation from time domain to frequency domain has been conducted by use of Volterra theory. The paper takes as an example fault detection of a containership on which a decision support system has been installed.
This paper presents a feedforward swing reducing control system for augmenting already existing helicopter controllers and enables slung load flight with autonomous helicopters for general cargo transport. The feedfor...
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In this paper a procedure for modelling satellite formations including failure dynamics as a piecewiseaffine hybrid system is shown. The formulation enables recently developed methods and tools for control and analysi...
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ISBN:
(纸本)9789292212186
In this paper a procedure for modelling satellite formations including failure dynamics as a piecewiseaffine hybrid system is shown. The formulation enables recently developed methods and tools for control and analysis of piecewise-affine systems to be applied leading to synthesis of fault tolerant controllers and analysis of the system behaviour given possible faults. The method is illustrated using a simple example involving two satellites trying to reach a specific formation despite of actuator faults occurring.
The focus of this paper is on the generation of controllers for fault tolerant control. Active off-line fault tolerant control design relies on a pool of controllers designed to handle different failure modes. Designi...
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ISBN:
(纸本)9781424422210
The focus of this paper is on the generation of controllers for fault tolerant control. Active off-line fault tolerant control design relies on a pool of controllers designed to handle different failure modes. Designing this pool of controllers remains a challenge and this paper hence investigates automatic control synthesis for a specific class of systems by abstracting the control problem to a set of combinatorial objects or a state machine. Next, a discrete game is formulated, in which the objective is to reach a goal set representing a desired (reference) state, and faults are treated as moves by a malignant opponent. Assuming that a winning strategy exists for this game, it forms a rule base that determines which control law to use under a given fault condition.
As initially suggested by E. Sontag, it is possible to approximate an arbitrary nonlinear system by a set of piecewise linear systems. In this work we concentrate on how to control a system given by a set of piecewise...
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ISBN:
(纸本)9781424422210
As initially suggested by E. Sontag, it is possible to approximate an arbitrary nonlinear system by a set of piecewise linear systems. In this work we concentrate on how to control a system given by a set of piecewise linear systems defined on simplices. By using the results of L. Habets and J. van Schuppen, it is possible to find a controller for the system on each of the simplices thus guaranteeing that the system flow on the simplex only will leave the simplex through a subset of its faces. Motivated by R. Forman, on the triangulated state space we define a combinatorial vector field, which indicates for a given face the future simplex. In the suggested definition we allow nondeterminacy in form of splitting and merging of solution trajectories. The combinatorial vector field gives rise to combinatorial counterparts of most concepts from dynamical systems, such as duals to vector fields, flow, flow lines, fixed points and Lyapunov functions. Finally it will be shown how this theory extends to switched dynamical systems and an algorithmic overview of how to do supervisory control will be shown towards the end.
This paper is intended to be a continuation of Habets and van Schuppen [2004] and Habets et al. [2006], which address the control problem for piecewise-affine systems on an arbitrary polytope or a family of these. Our...
This paper is intended to be a continuation of Habets and van Schuppen [2004] and Habets et al. [2006], which address the control problem for piecewise-affine systems on an arbitrary polytope or a family of these. Our work deals with the underlying combinatorics of the underlying discrete system. Motivated by Forman [1998], on the triangulated state space we define a combinatorial vector field, which indicates for a given face the future simplex. In the suggested definition we allow nondeterminacy in form of splitting and merging of solution trajectories. The combinatorial vector field gives rise to combinatorial counterparts of the flow lines. The main result is then an algorithm for synthesis of supervisory control.
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