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...
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ISBN:
(纸本)9781467320658
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 paper investigates two-dimensional manoeuvre of a flexible satellite with time-delay in observation. Considered satellite consists of a rigid hub in center and two flexible appendages. In this paper, an observer ...
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This paper investigates two-dimensional manoeuvre of a flexible satellite with time-delay in observation. Considered satellite consists of a rigid hub in center and two flexible appendages. In this paper, an observer and a predictor are developed for compensating time-delay in observation and a controller is developed to eliminate the deformation of two panels. Finally,stability of the system under proposed controller is obtained based on Lyapunov's arguments, and numerical simulation results prove that the developed delay compensation scheme and control method can effectively suppress the vibration of satellite.
Thanks to development of information technology, the so-called virtual software environments offer wide possibilities for the estimation of time-space dynamical characteristics of energy systems, including modeling, c...
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ISBN:
(纸本)9781467320658
Thanks to development of information technology, the so-called virtual software environments offer wide possibilities for the estimation of time-space dynamical characteristics of energy systems, including modeling, control and design of distributed parameter systems. Based on these advances, we present a novel approach to control energy systems as lumped-input and distributed-parameter-output systems. An adaptive-predictive controller is deployed to control temperature fields to ensure optimal conditions for the desulphurization process in a coal-burning fluidized bed furnace, demonstrating the potential of the proposed methodology.
In this work, absolutely exponential stability of Lure distributedparameter control systems with delayed state has been addressed. Delay-dependent sufficient conditions for the absolutely exponential stability in Hil...
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In this work, absolutely exponential stability of Lure distributedparameter control systems with delayed state has been addressed. Delay-dependent sufficient conditions for the absolutely exponential stability in Hilbert spaces are established in terms of linear operator inequalities (LOIs). Finally, the wave equation is given to illustrate our result. (C) 2011 Elsevier Ltd. All rights reserved.
In this work the absolute mean square exponential stability of Lure stochastic distributedparameter control systems has been addressed. Delay-dependent sufficient conditions for the stochastic stability in Hilbert sp...
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In this work the absolute mean square exponential stability of Lure stochastic distributedparameter control systems has been addressed. Delay-dependent sufficient conditions for the stochastic stability in Hilbert spaces are established in terms of linear operator inequalities (LOIs). Finally, the stochastic wave equation illustrates our result. (C) 2011 Elsevier Ltd. All rights reserved.
We study the problem of finding stable controllers that stabilize a multi-input multi-output distributedparameter system while simultaneously reducing the sensitivity of the system. The plants we consider have finite...
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We study the problem of finding stable controllers that stabilize a multi-input multi-output distributedparameter system while simultaneously reducing the sensitivity of the system. The plants we consider have finitely many unstable transmission zeros, but they can possess infinitely many unstable poles. Using the tangential Nevanlinna-Pick interpolation with boundary conditions, we obtain both upper and lower bounds of the minimum sensitivity that can be achieved by stable controllers. We also derive a method to find stable controllers for sensitivity reduction. In addition, we apply the proposed method to a repetitive control system.
In this this work, dissipativity of Lur'e distributedparameter control systems has been addressed. Delay-dependent sufficient conditions for the dissipativity with respect to the infinite-dimensional version of e...
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In this this work, dissipativity of Lur'e distributedparameter control systems has been addressed. Delay-dependent sufficient conditions for the dissipativity with respect to the infinite-dimensional version of energy supply rate (Q(1), S-1, R-1) characterized exclusively by unbounded operator Q(1) are established in terms of linear operator inequalities (LOIs). Finally, the heat equation illustrates our result. (C) 2011 Elsevier Ltd. All rights reserved.
作者：
Kotyczka, Paul
Université Claude Bernard Lyon 1 Villeurbanne69622 France
A family of finite-dimensional approximate models is proposed which preserves the port-Hamiltonian structure of a class of open systems of conservation laws. The approach is based on conservative generalized leapfrog ...
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The control of dissipative distributed parameter systems with strong convective phenomena is considered, employing model order reduction. The accuracy of the derived reduced order model (ROM) and the associated observ...
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The control of dissipative distributed parameter systems with strong convective phenomena is considered, employing model order reduction. The accuracy of the derived reduced order model (ROM) and the associated observer may decrease as the system behavior switches from diffusion-dominant to convection-dominant. To mitigate the issue, we propose to use adaptive proper orthogonal decomposition (APOD) to capture the changing behavior of the system. A Lyapunov controller is designed based on the ROM to control the system in the presence of disturbance and strong convective phenomena. Galerkin method is used to construct the ROM. The basis functions needed in Galerkin method are updated using APOD. A case study of regulating a tubular reactor at an open-loop unstable steady state is presented, where the performance of the ROM-based observer is evaluated. It's also demonstrated that APOD can improve the accuracy of the observer when an unexpected disturbance occurs. (C) 2018 Institution of Chemical Engineers. Published by Elsevier B.V. All rights reserved.
This study is concerned with adaptive neural network control for a vibrating flexible string system under the influence of non-symmetric input dead-zone, output constraint and system uncertainties. First, the backstep...
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This study is concerned with adaptive neural network control for a vibrating flexible string system under the influence of non-symmetric input dead-zone, output constraint and system uncertainties. First, the backstepping method is incorporated into the context of boundary control scheme and the barrier Lyapunov function is exploited to ensure the output constraints are never transgressed. Subsequently, an adaptive neural network control is developed to globally stabilize the string system and compensate for the effect of the input dead-zone. Besides, the online updating laws are introduced to compensate for the uncertainties of the system and the sigma-modification is adopted to adjust the robustness of the system. Under the proposed control, the bounded stability of the closed-loop system is proven based on Lyapunov functions without simplifying or discretizing the infinite-dimensional dynamics. Finally, simulation results are presented for control performance verification. (C) 2017 Elsevier B.V. All rights reserved.
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