In this paper, we consider state feedback stabilization, where Dirichlet type interconnections constrain the PDE state subject to a Neumann boundary condition at the PDE-ODE interface. We designed a state feedback bou...
详细信息
ISBN:
(纸本)9781728158556
In this paper, we consider state feedback stabilization, where Dirichlet type interconnections constrain the PDE state subject to a Neumann boundary condition at the PDE-ODE interface. We designed a state feedback boundary controller, and by using PDE backstepping the system, through an intermediate system, is transformed to an exponentially stable PDE-ODE cascade with an invertible integral transformation. In light of the ODE connected in series with the PDE, we perform stability analysis of hybrid sampled data PDE-ODE cascade, where the PDE is connected with an ODE through a Zero-Order-Hold (ZOH) sampler.
This article focuses on the iterative learning control problem of a class of linear parabolic distributed parameter systems, which has the characteristic that the boundaries of the spatial domain change continuously w...
详细信息
ISBN:
(纸本)9781728159225
This article focuses on the iterative learning control problem of a class of linear parabolic distributed parameter systems, which has the characteristic that the boundaries of the spatial domain change continuously with time. Then, the open-loop P-type iterative learning method is used to study the system output tracking problem. Through rigorous theoretical analysis, some methods such as the contraction mapping approach and Bellman-Gronwall inequality are used to prove the convergence of the tracking error. Finally, the effectiveness of the algorithm is verified by numerical simulation.
We consider a PDE-ODE model of a satellite and robust output regulation of the corresponding model. The satellite is composed of two flexible solar panels and a rigid center body. Exponential stability of the model is...
详细信息
We consider a PDE-ODE model of a satellite and robust output regulation of the corresponding model. The satellite is composed of two flexible solar panels and a rigid center body. Exponential stability of the model is proved using passivity and resolvent estimates in the port-Hamiltonian framework. In addition, we construct a simple low-gain controller for robust output regulation of the satellite model. Copyright (C) 2020 The Authors.
In this paper we study the asymptotic output tracking for distributed parameter systems with general infinite-dimensional exosystems. We present conditions for the solvability of the problem and construct the appropri...
详细信息
ISBN:
(纸本)9781467320665
In this paper we study the asymptotic output tracking for distributed parameter systems with general infinite-dimensional exosystems. We present conditions for the solvability of the problem and construct the appropriate open loop control law using the states of the system and the exosystem. In particular the results do not assume the exosystem to have a block diagonal structure. As an example we consider asymptotic output tracking for a heat equation.
This contribution presents the application of nonlinear model predictive control to the Vertical Gradient Freeze crystal growth process. Due to the time-varying spatial extent of the crystal and melt during growth, th...
详细信息
This contribution presents the application of nonlinear model predictive control to the Vertical Gradient Freeze crystal growth process. Due to the time-varying spatial extent of the crystal and melt during growth, this process is characterised by two coupled free boundary problems that form a so called two-phase Stefan problem which is of nonlinear nature. To apply model predictive control to this process, a simplified, spatially distributed representation of the system is derived and transferred into a spatially lumped form by means of the finite element method. For this model, a nonlinear control problem is formulated, that takes process limitations into account and tries to satisfy different quality objectives by formulating demands on the systems spatiotemproal temperature distribution. This provides the foundation for the presented predictive control design. Finally, the approximated model and the controller are verified for different real-world scenarios that include model errors and parameter uncertainties.
This paper presents a mathematical model for a piston flow reactor based on the material balance law using partial differential equations. A more general, nondimensional variant of the model is also derived. The finit...
详细信息
This paper presents a mathematical model for a piston flow reactor based on the material balance law using partial differential equations. A more general, nondimensional variant of the model is also derived. The finite difference method and coupled map lattice are used to create numerical algorithms to simulate spatio-temporal behavior in the studied system. The paper also includes a stability analysis of the proposed algorithms and results of numerous numerical simulations, done in order to compare both methods and to visualize the spatio-temporal behavior of the reactor and the effects of different model parameters. Discussion of the obtained results and comparison of both algorithms is also provided.
Go in-depth with this comprehensive discussion of distributed energy management distributed Energy Management of Electrical Power systems provides the most complete analysis of fully distributed control approaches and...
详细信息
ISBN:
(数字)9781119534891;9781119534877
ISBN:
(纸本)9781119534884
Go in-depth with this comprehensive discussion of distributed energy management distributed Energy Management of Electrical Power systems provides the most complete analysis of fully distributed control approaches and their applications for electric power systems available today. Authored by four respected leaders in the field, the book covers the technical aspects of control, operation management, and optimization of electric power systems. In each chapter, the book covers the foundations and fundamentals of the topic under discussion. It then moves on to more advanced applications. Topics reviewed in the book include:
System-level coordinated control
Optimization of active and reactive power in power grids
The coordinated control of distributed generation, elastic load and energy storage systems
distributed Energy Management incorporates discussions of emerging and future technologies and their potential effects on electrical power systems. The increased impact of renewable energy sources is also covered. Perfect for industry practitioners and graduate students in the field of power systems, distributed Energy Management remains the leading reference for anyone with an interest in its fascinating subject matter.
In this paper, we consider the filtering of distributed parameter systems (DPS), i.e., systems governed by partial differential equations (PDE). We adopt a reduced order model (ROM) based strategy to solve the problem...
详细信息
ISBN:
(纸本)9781457710964
In this paper, we consider the filtering of distributed parameter systems (DPS), i.e., systems governed by partial differential equations (PDE). We adopt a reduced order model (ROM) based strategy to solve the problem. We propose a randomly perturbed iterative version of the snapshot proper orthogonal decomposition (POD) technique, termed RI-POD, to construct ROMs for DPS that is capable of capturing their global behaviour. Further, the technique is entirely data based, and is applicable to forced as well as unforced systems. We apply the ROM generated using the RI-POD technique to construct reduced order Kalman filters to solve the DPS filtering problem. The methodology is tested on the 1-dimensional heat equation.
In this letter we propose a new computational method for designing optimal regulators for high-dimensional nonlinear systems. The proposed approach leverages physics-informed machine learning to solve high-dimensional...
详细信息
In this letter we propose a new computational method for designing optimal regulators for high-dimensional nonlinear systems. The proposed approach leverages physics-informed machine learning to solve high-dimensional Hamilton-Jacobi-Bellman equations arising in optimal feedback control. Concretely, we augment linear quadratic regulators with neural networks to handle nonlinearities. We train the augmented models on data generated without discretizing the state space, enabling application to high-dimensional problems. We use the proposed method to design a candidate optimal regulator for an unstable Burgers' equation, and through this example, demonstrate improved robustness and accuracy compared to existing neural network formulations.
The robust H ∞ control for a class of distributedparameter switched systems with Neumann boundary conditions was studied. The sufficient condition of the existence of the hybrid state feedback robust H ∞ controller...
详细信息
The robust H ∞ control for a class of distributedparameter switched systems with Neumann boundary conditions was studied. The sufficient condition of the existence of the hybrid state feedback robust H ∞ controller for the closed-loop switched systems was obtained based on Green formula and Lyapunov function method. By the linear matrix inequality (LMI) approach, the design of the robust H ∞ controller was converted into finding feasible solutions to a group of LMIs, which can be efficiently carried out by using Matlab LMI toolbox. Simultaneously, the method to reduce the conservativeness of the robust control system design also investigated. Finally, a numerical example shows the validity of the proposed design method.
暂无评论