This paper investigates the vibration control of an Euler-Bernoulli Beam with nonlinear backlash input. Based on the dynamical model of the flexible beam, the boundary control law and the disturbance observer are desi...
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ISBN:
(纸本)9781467374439
This paper investigates the vibration control of an Euler-Bernoulli Beam with nonlinear backlash input. Based on the dynamical model of the flexible beam, the boundary control law and the disturbance observer are designed to suppress the vibration of the system and reduce the effect of the backlash. The stability of the closed-loop system is proved and the uniform boundness of the states of the system is achieved. The proposed boundary control with appropriate parameters is proved to be effective by the performance of numerical simulations of the flexible beam system.
An iterative learning control problem for distributed parameter systems is discussed. And a new iterative learning control algorithm is proposed, which is different from the present algorithms and has the form of nonl...
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ISBN:
(纸本)9781424427239
An iterative learning control problem for distributed parameter systems is discussed. And a new iterative learning control algorithm is proposed, which is different from the present algorithms and has the form of nonlinear. Furthermore, geometry explanation is given for the new algorithm in the paper.
In this paper, we consider robust output regulation of distributed parameter systems with infinite-dimensional exosystems capable of generating polynomially growing signals. We design an observer-based error feedback ...
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In this paper, we consider robust output regulation of distributed parameter systems with infinite-dimensional exosystems capable of generating polynomially growing signals. We design an observer-based error feedback controller solving the control problem. The controller is chosen in such a way that it incorporates an internal model of the infinite-dimensional exosystem. The remaining parameters of the controller are chosen to stabilize the closed-loop system strongly. We also analyze the classes of signals generated by the exosystem. In particular, we explore the connection between the smoothness properties of the reference and disturbance signals and the strictness of the conditions required for the existence of a controller solving the robust output regulation problem.
Dynamic modelling and numerical implementation strategies for fluid transmission lines have been studied thoroughly, mainly for the application in hydraulic pipeline networks. Recent interest in energy efficiency has ...
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Dynamic modelling and numerical implementation strategies for fluid transmission lines have been studied thoroughly, mainly for the application in hydraulic pipeline networks. Recent interest in energy efficiency has seen a resurgence of this field for compressed air networks, with impact on manufacturing processes, simulation of pneumatic drive components, and other theoretical analysis applications. The effects of long tubes connecting system components are often neglected to increase computational speed and reduce model size. This document highlights existing modelling approaches from practice as well as from fluid dynamic theory. Existing approaches for hydraulic transmission lines are adapted to their use for pneumatic tubes. A low-order model is derived capable to predict the transient behaviour of pressure and mass flow rate distribution within the tube. The model accounts for non-linear turbulent flow conditions, and is designed to be compatible with signal-flow simulation programmes, increasing its usability in large-scale industrial settings. It is numerically well conditioned, and all parameters are determined by physical or empirical relationships. Both its transient and quasi-stationary behaviour are validated against experimental results.
Research activities in smart materials and structures are very important today and represent a significant potential for technological innovation in mechanics and electronics. The growing interest of our society in th...
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Research activities in smart materials and structures are very important today and represent a significant potential for technological innovation in mechanics and electronics. The growing interest of our society in the problem of sustainable development motivates a broad research effort for optimizing mechanical structures in order to obtain new functional properties such as noise reduction, comfort enhancement, durability, decreased ecologic impact, and so forth. In order to realize such a multiobjective design, new methods are now available, which allow active transducers and their driving electronics to be directly integrated into otherwise passive structures. This new concept could allow fine control of the material physical behavior to induce new functional properties that do not exist in nature and that cannot be introduced by passive approaches. In this sense, we can speak of integrated distributed adaptive metacomposites that merge with the notion of programmable material. Through two different examples dealing with active acoustical impedance and elastodynamical interface, this paper presents theoretical tools and validations for designing specific applications of this new technology.
We develop an adaptive output-feedback controller for a wave PDE in one dimension with actuation on one boundary and with an unknown anti-damping term on the opposite boundary. This model is representative of a torsio...
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We develop an adaptive output-feedback controller for a wave PDE in one dimension with actuation on one boundary and with an unknown anti-damping term on the opposite boundary. This model is representative of a torsional stick-slip instability in drillstrings in deep oil drilling, as well as of various acoustic instabilities. The key feature of the proposed controller is that it requires only the measurements of boundary values and not of the entire distributed state of the system. Our approach is based on employing Riemann variables to convert the wave PDE into a cascade of two delay elements, with the first of the two delay elements being fed by control and the same element in turn feeding into a scalar ODE. This enables us to employ a prediction-based design for systems with input delays, suitably converted to the adaptive output-feedback setting. The result's relevance is illustrated with simulation example. (C) 2014 Elsevier Ltd. All rights reserved.
We address the problem of adaptive output-feedback stabilization of general first-order hyperbolic partial integro-differential equations (PIDE). Such systems are also referred to as PDEs with non-local (in space) ter...
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We address the problem of adaptive output-feedback stabilization of general first-order hyperbolic partial integro-differential equations (PIDE). Such systems are also referred to as PDEs with non-local (in space) terms. We apply control at one boundary, take measurements on the other boundary, and allow the system's functional coefficients to be unknown. To deal with the absence of both full-state measurement and parameter knowledge, we introduce a pre-transformation (which happens to be based on backstepping) of the system into an observer canonical form. In that form, the problem of adaptive observer design becomes tractable. Both the parameter estimator and the control law employ only the input and output signals (and their histories over one unit of time). Prior to presenting the adaptive design, we present the non-adaptive/baseline controller, which is novel in its own right and facilitates the understanding of the more complex, adaptive system. The parameter estimator is of the gradient type, based on a parametric model in the form of an integral equation relating delayed values of the input and output. For the closed-loop system we establish boundedness of all signals, pointwise in space and time, and convergence of the POE state to zero pointwise in space. We illustrate our result with a simulation. (C) 2014 Elsevier Ltd. All rights reserved.
This paper develops methods for model identification of aggregated thermostatically controlled loads (TCLs) in smart grids, via partial differential equation (PDE) techniques. Control of aggregated TCLs provides a pro...
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This paper develops methods for model identification of aggregated thermostatically controlled loads (TCLs) in smart grids, via partial differential equation (PDE) techniques. Control of aggregated TCLs provides a promising opportunity to mitigate the mismatch between power generation and demand, thus enhancing grid reliability and enabling renewable energy penetration. To this end, this paper focuses on developing parameter identification algorithms for a PDE-based model of aggregated TCLs. First, a two-state boundary-coupled hyperbolic PDE model for homogenous TCL populations is derived. This model is extended to heterogeneous populations by including a diffusive term, which provides an elegant control-oriented model. Next, a passive parameter identification scheme and a swapping-based identification scheme are derived for the PDE model structure. Simulation results demonstrate the efficacy of each method under various autonomous and non-autonomous scenarios. The proposed models can subsequently be employed to provide system critical information for power system monitoring and control.
We design a network-based H-infinity filter for a parabolic system governed by a vector semilinear N-D diffusion equation over a rectangular domain Omega under distributed in space measurements. The sampled in time me...
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We design a network-based H-infinity filter for a parabolic system governed by a vector semilinear N-D diffusion equation over a rectangular domain Omega under distributed in space measurements. The sampled in time measurements are sent to the observer over a communication network according to Round-Robin scheduling protocol (one after another in a periodic manner). The objective is to enlarge the sampling time intervals and, thus, to reduce the amount of communications, while preserving a satisfactory error system performance. We suggest to divide Omega into a finite number of rectangular sub-domains N-s, where stationary or mobile sensing devices provide spatially averaged state measurements to be transmitted through communication network. Sufficient conditions in terms of Linear Matrix Inequalities (LMIs) for the internal exponential stability and L-2-gain analysis of the estimation error are derived via the time-delay approach to networked control systems. By solving these LMIs, the filter gain along with the upper bounds on the sampling time intervals, on the network induced time-delays, and on the diameters of the sub-domains can be found that preserve the internal stability of the error system and achieve a given L-2-gain. Numerical examples illustrate the efficiency of the method. (C) 2014 Elsevier Ltd. All rights reserved.
This study investigates the stability of fuzzy-model-based (FMB) control system, which is formed by a Takagi-Sugeno (T-S) fuzzy model representing a non-linear plant and a fuzzy controller connected in a closed loop. ...
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This study investigates the stability of fuzzy-model-based (FMB) control system, which is formed by a Takagi-Sugeno (T-S) fuzzy model representing a non-linear plant and a fuzzy controller connected in a closed loop. The proposed fuzzy controller considers a higher design flexibility that the premise membership functions and the number of fuzzy rules are allowed to be not the same as those of the T-S fuzzy model. By employing simple membership functions and a smaller number of fuzzy rules, the complexity of the fuzzy controller can be reduced to facilitate its implementation. Based on the Lyapunov stability theory, a membership-function-dependent (MFD) stability analysis is proposed to develop stability conditions in the form of linear matrix inequalities (LMIs) to determine the system stability and facilitate the control synthesis. The information of the membership functions is brought to the MFD LMI-based stability conditions, which are dedicated to the FMB control system under consideration. It is thus the proposed MFD stability analysis result is more relaxed compared with the existing membership-function-independent stability analysis results. A simulation example is given to illustrate the effectiveness of the proposed approach.
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