This book presents new computational tools for the ℋ∞ control of distributed parameter systems in which transfer functions are considered as input-output descriptions for the plants to be controlled. The emphasis is ...
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ISBN:
(数字)9781611975406
ISBN:
(纸本)9781611975390
This book presents new computational tools for the ℋ∞ control of distributed parameter systems in which transfer functions are considered as input-output descriptions for the plants to be controlled. The emphasis is on the computation of the controller parameters and reliable implementation. The authors present recent studies showing that the simplified skew Toeplitz method is applicable to a wide class of systems, supply detailed examples from systems with time delays and various engineering applications, and discuss reliable implementation of the controller, complemented by a software based on MATLAB®.
Frequency Domain Techniques for ℋ∞ Control of distributed parameter systems is intended for advanced undergraduate and early graduate students interested in robust control of distributed parameter systems—time delay systems—as well as researchers and engineers working in related fields. It can be used in the following courses: Introduction to Robust Control with Applications to distributed parameter systems and Introduction to Robust Control with Applications to Time Delay systems.
Often only some aspect of the state needs to be estimated, not the whole state. This problem is referred to as output estimation Also, there may be disturbances other than Gaussian noise. In such situations a Kalman f...
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Often only some aspect of the state needs to be estimated, not the whole state. This problem is referred to as output estimation Also, there may be disturbances other than Gaussian noise. In such situations a Kalman filter may not be the most appropriate estimator. Two alternative approaches are to reduce the H-2 or H infinity output estimation error. A derivation of both types of estimators for output estimation of linear infinite-dimensional systems is provided. A practical framework for constructing finite-dimensional estimators that provide performance arbitrarily close to optimal is developed. (c) 2020 Elsevier B.V. All rights reserved.
First of all the properties of the GE-semigroup is discussed by using Laplace transformation. And then exact controllability, exact null controllability and approximate controllability of singular distributed paramete...
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First of all the properties of the GE-semigroup is discussed by using Laplace transformation. And then exact controllability, exact null controllability and approximate controllability of singular distributedparameter control system are discussed via functional analysis and the theory of GE-semigroup in Hilbert space, necessary and sufficient conditions concerning the exact controllability, exact null controllability and approximate controllability are given. This research is theoretically important for studying the controllability of the singular distributedparameter control systems.
In this paper, we consider the asymptotic boundary stabilisation of a one-dimensional wave equation subject to anti-damping at its free end and with control at the opposite one. The control action, implemented through...
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In this paper, we consider the asymptotic boundary stabilisation of a one-dimensional wave equation subject to anti-damping at its free end and with control at the opposite one. The control action, implemented through a state feedback or a dynamic controller, is derived by using the port-Hamiltonian framework. More precisely, the standard energy-shaping approach plus damping assignment is adapted to cope with infinite dimensional systems with anti-damping boundary conditions. It is shown how to modify the equivalent dynamic controller to account for the instability propagation along the domain.
Fluidized bed layering granulation has found application in a wide range of industrial processes, e.g. food, pharmaceutical or fertilizer manufacturing. The quality of the produced granules is a critical factor for su...
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Fluidized bed layering granulation has found application in a wide range of industrial processes, e.g. food, pharmaceutical or fertilizer manufacturing. The quality of the produced granules is a critical factor for subsequent processing steps and depends on individual particle properties like characteristic size, porosity or mechanical stability. Therefore, these properties have to be monitored closely during the process to enable accurately timed intervention by plant operators or the application of suitable feedback control algorithms. In case certain properties are not measurable due to financial or technical limitations, observer techniques can fill the gap and provide reliable estimates for these properties. In this manuscript, observer design is demonstrated and validated for a fluidized bed layering granulation process model represented by a complex set of partial and ordinary differential equations. Furthermore, an inferential integral state feedback controller is designed and applied to the complex nonlinear model.
This paper discusses the boundary feedback stabilization of a reaction-diffusion equation with Robin boundary conditions and in the presence of a time-varying state-delay. The proposed control design strategy is based...
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This paper discusses the boundary feedback stabilization of a reaction-diffusion equation with Robin boundary conditions and in the presence of a time-varying state-delay. The proposed control design strategy is based on a finite-dimensional truncated model obtained via a spectral decomposition. By an adequate selection of the number of modes of the original infinite-dimensional system, we show that the design performed on the finite-dimensional truncated model achieves the exponential stabilization of the original infinite-dimensional system. In the presence of distributed disturbances, we show that the closed-loop system is exponentially input-to-state stable with fading memory. (C) 2020 Elsevier Ltd. All rights reserved.
In this work, an output regulator design in a discrete-time setting is considered for a linearized Ginzburg-Landau equation (GLE) with point observation using the internal model principle. To address model instability...
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In this work, an output regulator design in a discrete-time setting is considered for a linearized Ginzburg-Landau equation (GLE) with point observation using the internal model principle. To address model instability, spectrum analysis is presented and utilized for the continuous-time GLE system. In addition, the Cayley-Tustin transform is used for model time discretization and no spatial approximation or model reduction is induced in the time discretization. As for the servo control design, the discrete-time Sylvester regulation equations are constructed and applied. By a state-feedback regulator, the output tracking and disturbance rejection are realized simultaneously for the Ginzburg-Landau equation, which is verified by a set of simulation studies.
A new practical oriented feedback control structure for traffic control on freeways using variable speed limits is presented. Therefore, a simple controller structure which satisfies legal and operator demands for a s...
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A new practical oriented feedback control structure for traffic control on freeways using variable speed limits is presented. Therefore, a simple controller structure which satisfies legal and operator demands for a single road is derived from system analysis of a macroscopic traffic model. Furthermore, this road-controller is accompanied with a sequence control and a road-network-controller. In contrast to existing work, novel control variables are used within controller design and tuning guidelines for non-control-engineers are given. The proposed control structure is investigated in simulations, which have been validated using experimental data from the German autobahn.
This paper proposes an observer for the electrically heated vertical Rijke tube, using a model capable of inciting thermoacoustic instabilities. The model consists of linear, distributed acoustics coupled with nonline...
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This paper proposes an observer for the electrically heated vertical Rijke tube, using a model capable of inciting thermoacoustic instabilities. The model consists of linear, distributed acoustics coupled with nonlinear, lumped heat release. Using a boundary pressure measurement taken at the bottom end of the tube, the observer is designed by copying the system model and reconstructing both the bottom and top boundary conditions, the former exactly and the latter with an error that is shown to be converge to zero exponentially. It is proven that the observer produces state estimates that converge to their correct values asymptotically. Furthermore, it is shown the state estimation errors stay bounded when there is a modelling error in the boundary acoustic impedance. The proposed observer is simulated and compared to two alternative observers.
Stabilization of a system of coupled PDEs of the fourth-order by means of boundary control is investigated. The considered setup arises from the classical Euler-Bernoulli beam model, and constitutes a generalization o...
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Stabilization of a system of coupled PDEs of the fourth-order by means of boundary control is investigated. The considered setup arises from the classical Euler-Bernoulli beam model, and constitutes a generalization of flexible mechanical systems. A linear feedback controller is proposed, and using an abstract formulation based on operator semigroup theory, we are able to prove the well-posedness and the stability of the closed-loop system. The performances of the proposed controller are illustrated by means of numerical simulations.
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