An overview is given of the locally positive stabilization problem for positive infinite-dimensional linear systems with a bounded control operator. The impossibility of solving this problem by using a nonnegative inp...
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An overview is given of the locally positive stabilization problem for positive infinite-dimensional linear systems with a bounded control operator. The impossibility of solving this problem by using a nonnegative input is established. Two methods for solving the problem by means of state feedback, namely spectral decomposition and control invariance, are described. The results are illustrated by means of a perturbed diffusion equation with Dirichlet boundary conditions and a diffusion equation with Neumann boundary conditions and pointwise control.(c) 2021 European Control Association. Published by Elsevier Ltd. All rights reserved.
The paper presents a model-based controller design technique for a thermal process in silicon wafer manufacturing. The underlying model is obtained by dynamic mode decomposition which is a purely data-driven approach....
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ISBN:
(纸本)9781713872344
The paper presents a model-based controller design technique for a thermal process in silicon wafer manufacturing. The underlying model is obtained by dynamic mode decomposition which is a purely data-driven approach. The control scheme consists of a state feedback controller in combination with a disturbance observer, which allows robust tracking of feasible reference temperature profiles. The approach is validated using a laboratory setup.
The current state of advanced chemical and materials process control can be determined by reviewing the past contributions and contemporary developments in the field. The past two decades have not closed the large gap...
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The current state of advanced chemical and materials process control can be determined by reviewing the past contributions and contemporary developments in the field. The past two decades have not closed the large gap between developed novel process control theories and their industrial applications. On the contrary, the undeniable impression is that the ones who develop theories remain out of reach of industrial experts and practitioners who are capable of using them and/or applying them in practice. However, there is still hope that chemical process control will be heading towards more applicable and realizable control formulations and that it shall survive the current rugged terrains of seemingly self-proclaimed 'hot topics' and eye-catching developments.
Microclimate within the canopy and at the plant surface can have a significant influence on the physiological processes of plants, as well as on the epidemiology of pathogens. Assessing greenhouse climate parameters, ...
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ISBN:
(纸本)9781713872344
Microclimate within the canopy and at the plant surface can have a significant influence on the physiological processes of plants, as well as on the epidemiology of pathogens. Assessing greenhouse climate parameters, canopy microclimate and leaf surface microclimate is essential for developing greenhouse climate control strategies. Considering the canopy as a heterogenous porous medium and using the heat transfer theory, we developed a one-dimensional coupled elliptic system for control purposes to describe the air canopy and crop temperature, and established the existence and uniqueness of the solutions. The corresponding numerical model was derived within the finite difference framework. Simulations were conducted to evaluate the capability of the model to replicate canopy temperature for two arrangements of crops species under different behaviour and environment.
This article studies the distributedparameter system that governs adaptive estimation by mobile sensor networks of external fields in a reproducing kernel Hilbert space (RKHS). The article begins with the derivation ...
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This article studies the distributedparameter system that governs adaptive estimation by mobile sensor networks of external fields in a reproducing kernel Hilbert space (RKHS). The article begins with the derivation of conditions that guarantee the well-posedness of the ideal, infinite dimensional governing equations of evolution for the centralized estimation scheme. Subsequently, convergence of finite dimensional approximations is studied. Rates of convergence in all formulations are established using history-dependent bases defined from translates of the RKHS kernel that are centered at sample points along the agent trajectories. Sufficient conditions are derived that ensure that the finite dimensional approximations of the ideal estimator equations converge at a rate that is bounded by the fill distance of samples in the agents' assigned subdomains. The article concludes with examples of simulations and experiments that illustrate the qualitative performance of the introduced algorithms.
This article presents a novel reliable fuzzy output feedback controller for a class of semilinear parabolic partial differential equation systems with Markov jump actuator failures. First, the control strategy's n...
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This article presents a novel reliable fuzzy output feedback controller for a class of semilinear parabolic partial differential equation systems with Markov jump actuator failures. First, the control strategy's novelties include the following aspects: 1) the considered system is represented by using a fuzzy modeling approach, based on which a new asynchronous fuzzy observer is constructed via utilizing a series of discrete output signals that are induced by samplers and quantizers;2) a novel Markov jump input model, which is more fit for real applications, is introduced to depict various stochastically occurring actuator faults;and 3) inspired by the above discussion, a reliable mode-dependent fuzzy piecewise control strategy, which only needs limited actuators, is developed. Then, some new conditions, which can ensure that the closed-loop system is finite-time bounded, are established. Furthermore, some slave matrices are introduced to relax the strict constraints caused by asynchronous membership functions. Finally, two simulation examples are provided to support the validity of the proposed method.
This paper is concerned with the stabilisation problem of an Euler-Bernoulli beam with uncertain parameters and disturbances. To correctly represent the beam's behaviour, the partial differential equations model i...
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This paper is concerned with the stabilisation problem of an Euler-Bernoulli beam with uncertain parameters and disturbances. To correctly represent the beam's behaviour, the partial differential equations model is utilised for the control design of the beam without missing any high-order mode information. Then the linear matrix inequalities (LMIs) method is applied to the robust adaptive neural network control design to cope with systematic uncertainties and stabilise the beam system with disturbance compensation. Through resolving LMIs, feasible sets of designed control parameters can be effectively obtained without model linearisation. Finally, numerical simulations are done to validate the effectiveness of the proposed control.
In this work, an observer-based output feedback controller for a one-dimensional wave equation with van der Pol type nonlinear boundary conditions is considered. The uncontrolled system with the energy injection and t...
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In this work, an observer-based output feedback controller for a one-dimensional wave equation with van der Pol type nonlinear boundary conditions is considered. The uncontrolled system with the energy injection and the cubic velocity nonlinearity reveals different kinds of dynamical behaviours, for example, chaotic acoustic vibration, period-doubling bifurcation, square wave and some other dynamical patterns. Firstly, an observer is designed, and next, we propose an observer-based output feedback controller using the backstepping approach. We prove well-posedness and globally asymptotic stability of the observer error and corresponding closed-loop system. To this purpose, pre-compactness of the trajectories is shown for the large-time analysis. The validity of the theoretical results is illustrated by some numerical simulations.
This article presents a result of stabilization of a coupled partial differential equation (PDE) and ordinary differential equation (ODE) system through boundary control. The PDE is the Burgers' equation, which is...
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This article presents a result of stabilization of a coupled partial differential equation (PDE) and ordinary differential equation (ODE) system through boundary control. The PDE is the Burgers' equation, which is a widely considered nonlinear PDE, partially due to its low order and partially due to its structure analogous to the Navier-Stokes equation, which describes fluid dynamics. The controller we employ for stabilizing this system was first developed from the boundary control problem of the corresponding linearized system, based on an infinite-dimensional backstepping transformation. The stabilization result is achieved using only one boundary measurement and one boundary control. Numerical simulations show the boundary control law can be used to stabilize the system.
This article deals with a one-dimensional (1-D) wave equation with a nonlinear dynamic boundary condition and a Neumann-type boundary control acting on the other extremity. We consider a class of nonlinear stabilizing...
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This article deals with a one-dimensional (1-D) wave equation with a nonlinear dynamic boundary condition and a Neumann-type boundary control acting on the other extremity. We consider a class of nonlinear stabilizing feedbacks that only depend on the velocity at the controlled extremity. The uncontrolled boundary is subject to a nonlinear first-order term, which may represent nonlinear boundary antidamping. Initial data are taken in the optimal energy space associated with the problem. Exponential decay of the mechanical energy is investigated in different cases. Stability and attractivity of suitable invariant sets are established.
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