In this paper, we consider the output regulation problem for a one dimensional wave equation with harmonic disturbance anti-collocated with control. We first design an adaptive observer by the measured output to estim...
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In this paper, we consider the output regulation problem for a one dimensional wave equation with harmonic disturbance anti-collocated with control. We first design an adaptive observer by the measured output to estimate unknown parameters of the disturbance and recover the system state. Then by using the observer system and estimator of unknown harmonic disturbance, we construct an auxiliary system in which the control and the anti-collocated disturbance become collocated. By applying the Backstepping method for infinite dimensional system, we design an output feedback adaptive controller which regulates the output to zero and keeps all the states bounded. (C) 2017 Elsevier Ltd. All rights reserved.
This paper discusses the identification for the distributed parameter system of gas reservoirs with heterogeneous carbonate matrices. Based on the relationship between the ad hoc function and the geological feature, w...
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This paper discusses the identification for the distributed parameter system of gas reservoirs with heterogeneous carbonate matrices. Based on the relationship between the ad hoc function and the geological feature, we set up a general model with double porous structure, clarify its effect and significance, and present a series of results of system identifications, including the basic content and methods, stabilizing functional and parameter identifiability etc. Using the perturbation of spectra of self-adjoint operators, the identifiability of the porosities and the ad hoc coefficient is demonstrated for the general structure model. This project indicates that the identification of a distributed parameter system involves parameters, boundary position and structure.
The issue of output constraints is studied for a flexible-link manipulator in the presence of unknown spatially distributed disturbances. The manipulator can be taken as an Euler-Bernoulli beam and its dynamic is expr...
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The issue of output constraints is studied for a flexible-link manipulator in the presence of unknown spatially distributed disturbances. The manipulator can be taken as an Euler-Bernoulli beam and its dynamic is expressed by partial differential equations. On account of the uncertainty of disturbances, we present a disturbance observer to estimate infinite dimensional disturbances on the beam. The observer is proven exponentially stable. Considering the problem of output constraints in the practical engineering, we propose a novel distributed vibration controller based on the disturbance observer to fulfill the position regulation of the joint angle and suppress elastic deflections on the flexible link, while confining the regulating errors of output in a suitable scope that we can assign. The closed-loop system is demonstrated exponentially stable based on an integral-barrier Lyapunov function. Simulations validate the effectiveness of the design scheme.
In the paper general approach to the formulation and solution of boundary control problems of distributed parameter systems governed by partial differential equations is presented using as a base lumped input and dist...
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In the paper general approach to the formulation and solution of boundary control problems of distributed parameter systems governed by partial differential equations is presented using as a base lumped input and distributed output systems.
A recursive algorithm of stochastic approximation type is derived for the estimation of space-dependent parameters in a class of distributed parameter systems driven by random inputs. The algorithm uses noisy observat...
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A recursive algorithm of stochastic approximation type is derived for the estimation of space-dependent parameters in a class of distributed parameter systems driven by random inputs. The algorithm uses noisy observations taken over at a finite number of discrete points located in the spatial domain. Stochastic convergence of the estimates is proved. Simulation studies illustrate the good convergence property of the algorithm. The algorithm is much more simple both in structure and implementation and less restrictive on system structure to apply the algorithm, compared to the algorithm of Kubrusly and Curtain (1977).
The paper studies the sliding mode control of nonlinear, distributed parameter system described by partial differential equations. The nonlinear system is approximated by a sequence of linear, time-varying system whic...
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ISBN:
(纸本)9781424467129
The paper studies the sliding mode control of nonlinear, distributed parameter system described by partial differential equations. The nonlinear system is approximated by a sequence of linear, time-varying system which, under very mild conditions, globally converges in the limit to the nonlinear systems considered. This reduces the nonlinear control problem to linear, time-varying control problems. For each iterative approximation, an infinite-dimensional time-varying sliding surface and the corresponding control input is designed. The converged control input could exponentially stabilizes the nonlinear system. Here we give an example of nonlinear wave equation to illustrate the theory.
A hybrid control algorithm that combines the constant-amplitude controller (CAC) and constant-gain controller (CGC) is proposed to alleviate undesirable vibration chattering in the settled phase. By employing the prop...
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A hybrid control algorithm that combines the constant-amplitude controller (CAC) and constant-gain controller (CGC) is proposed to alleviate undesirable vibration chattering in the settled phase. By employing the proposed control algorithm, undesirable chattering in the settled phase for both transient and vibration controls is completely eliminated or substantially attenuated. These superior control performance characteristics are demonstrated through experimental implementations.
This paper is concerned with vibration control and boundary tension constraint of an axially moving string system. The main control objectives are to suppress the vibration of the string system and ensure the boundary...
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This paper is concerned with vibration control and boundary tension constraint of an axially moving string system. The main control objectives are to suppress the vibration of the string system and ensure the boundary tension in a constrained region. To this end, a boundary control strategy is developed via constructing a proper barrier Lyapunov function. In addition, the disturbance observer including the barrier term is introduced to tackle the effects of unknown boundary disturbance. With the proposed control strategy, the states of the closed-loop system are proven to be uniformly ultimately bounded through rigorous Lyapunov analysis and the boundary tension constraint is not violated. Finally, in order to validate the effectiveness of the proposed control, the simulation results are presented by choosing appropriate control design parameters.
Saccharomyces cerevisiae (baker's beast) can exhibit sustained oscillations over a wide range of operating conditions when produced in a continuous bioreactor. In this paper the bifurcations leading to these perio...
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Saccharomyces cerevisiae (baker's beast) can exhibit sustained oscillations over a wide range of operating conditions when produced in a continuous bioreactor. In this paper the bifurcations leading to these periodic solutions are investigated using an unstructured. segregated model in which the population balance equation (PBE) for the cell mass distribution is Coupled to the mass balance of the rate limiting substrate. The PBE model is shown to produce periodic solutions over a range Of dilution rates due to the presence of two supercritical Hopf bifurcations. The problem of oscillation attenuation using nonlinear feedback control with four candidate input/output variable pairings is investigated. The controller designs are based on a low dimensional moment representation of the PBE model. The performance of the nonlinear controllers are compared and discussed. (C) 2002 Elsevier Science Ltd. All rights reserved.
In this paper, an optimal control problem governed by semilinear parabolic equation which involves the control variable acting on forcing term and coefficients appearing in the higher order derivative terms is formula...
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In this paper, an optimal control problem governed by semilinear parabolic equation which involves the control variable acting on forcing term and coefficients appearing in the higher order derivative terms is formulated and analyzed. The strong variation method, due originally to Mayne et al to solve the optimal control problem of a lumped parametersystem, is extended to solve an optimal control problem governed by semilinear parabolic equation, a necessary condition is obtained, the strong variation algorithm for this optimal control problem is presented, and the corresponding convergence result of the algorithm is verified.
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