Observer design for second-order distributed parameter systems in R-2 is addressed. Particularly, second order distributed parameter systems without distributed damping are studied. Based on finite number of measureme...
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Observer design for second-order distributed parameter systems in R-2 is addressed. Particularly, second order distributed parameter systems without distributed damping are studied. Based on finite number of measurements, exponentially stable observer is designed. The existence, uniqueness and stability of solutions of the observer are based on semigroup theory.
The problem of finding suitable sensor locations for distributed parameter systems (DPS) is tackled as a variable selection problem. Two existing variable selection methods are used: one is based on principal componen...
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The problem of finding suitable sensor locations for distributed parameter systems (DPS) is tackled as a variable selection problem. Two existing variable selection methods are used: one is based on principal component analysis (PCA) and the other on the principal variable (PV) method. A new PCA-based variable selection method, called "orthogonal variables in loading space" (OVL) is introduced. The best sensor location for DPS is dependent on sensor characteristics and also on the time interval of interest. This is illustrated in a case study where the best point in time to replace a packed bed filter is studied. Sensor positions are determined for different time intervals and different types of measurement errors. The resulting sensor positions characterize the overall time behavior of the DPS in the selected time interval. As a test, the specific problem of predicting the exit concentration of the packed bed filter is considered. Lagged PLS models are built and a full search is done to determine the best possible sensor locations. These "benchmark" sensor positions are compared to the sensor locations found by the variable selection methods. The OVL method and the PV method both perform well, but the OVL method is additionally computationally less demanding.
The unique characteristic of a repetitive process is a series of sweeps, termed passes, through a set of dynamics defined over a finite duration with resetting before the start of the each new one. On each pass an out...
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The unique characteristic of a repetitive process is a series of sweeps, termed passes, through a set of dynamics defined over a finite duration with resetting before the start of the each new one. On each pass an output, termed the pass profile is produced which acts as a forcing function on, and hence contributes to, the dynamics of the next pass profile. This leads to the possibility that the output, i.e. the sequence of pass profiles, will contain oscillations which increase in amplitude in the pass-to-pass direction. Such behavior cannot be controlled by standard linear systems approach and instead they must be treated as a multidimensional system, i.e. information propagation in more than one independent direction. Physical examples of such processes include long-wall coal cutting and metal rolling. In this paper, stability analysis and control systems design algorithms are developed for a model where a plane, or rectangle, of information is propagated in the pass-to-pass direction. The possible use of these in the control of distributed parameter systems is then described using a fourth-order wavefront equation. (C) 2008 Elsevier Ltd. All rights reserved.
This note addresses observer design for second-order distributed parameter systems in R-2. Particularly, second-order distributed parameter systems without distributed damping are studied. Based on finite number of me...
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This note addresses observer design for second-order distributed parameter systems in R-2. Particularly, second-order distributed parameter systems without distributed damping are studied. Based on finite number of measurements, exponentially stable observer is designed. The existence, uniqueness and stability of solutions of the observers are based on semigroup theory. (c) 2008 Elsevier B.V. All rights reserved.
This article addresses the problem of parameter identification in fluid transmission lines. The recently developed algebraic approach to parameter identification in linear distributed parameter systems is applied to t...
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This article addresses the problem of parameter identification in fluid transmission lines. The recently developed algebraic approach to parameter identification in linear distributed parameter systems is applied to three different transmission line models: the inviscid model, the linear friction model, and the frequency-dependent friction model. The main idea is to derive exact equations for parameter identification based on the infinite dimensional system models using only spatially concentrated measurements. To this end, the transmission line models are subjected to several transformation steps including the Laplace transform. Using further algebraic manipulations, equations are derived, which allow for the calculation of system parameters. The identification method presented is illustrated by means of numerical simulations covering two different scenarios of pressure and flow rate measurements taken at the boundaries of a pipeline.
This paper deals with stabilization of continuous Takagi-Sugeno (T-S) fuzzy models with time-delay based on a Parallel distributed Compensation (PDC) controller design. Using fuzzy weighting-dependent Lyapunov-Krasovs...
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ISBN:
(纸本)9781467364577;9781467364591
This paper deals with stabilization of continuous Takagi-Sugeno (T-S) fuzzy models with time-delay based on a Parallel distributed Compensation (PDC) controller design. Using fuzzy weighting-dependent Lyapunov-Krasovskii functionals, new sufficient stabilization criteria are established in terms of Linear Matrix Inequality;hence the stability bound of upper bound delay time can be easily estimated. Finally, numeric simulation is given to validate the developed approach.
Modeling and control of the extruder temperature field is discussed, a process governed by a nonlinear partial differential equation. Utilizing finite element approximation a discretized input/output representation of...
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ISBN:
(纸本)9781479909261;9781479909278
Modeling and control of the extruder temperature field is discussed, a process governed by a nonlinear partial differential equation. Utilizing finite element approximation a discretized input/output representation of the system is created with the inputs being powers of heaters and output the extruder temperature field. Local linearization is applied at the operating point and the controller is designed based on the lumped-input and distributed-parameter-output systems approach, using the time-space decoupling of system's dynamics. Results are verified experimentally.
The estimation of spatially distributed processes by group of spatially distributed filters utilizing mobile sensors is considered in this work. It is assumed that the sensor network has limited connectivity and a gui...
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ISBN:
(纸本)9781479901784
The estimation of spatially distributed processes by group of spatially distributed filters utilizing mobile sensors is considered in this work. It is assumed that the sensor network has limited connectivity and a guidance scheme for the mobile sensors is proposed that takes into account the vehicle dynamics. The motion of the mobile sensors is explicitly expressed in terms of the performance of the distributed filters. An added modification into the filter design allows for consensus by penalizing the disagreement of the state estimates in a dynamic manner. Stability bounds are obtained and extensive simulations studies of a representative spatially distributed process are included to provide insights on the effects of moving sensors used in consensus filters.
The authors have developed a methodology for control of nonlinear systems in the presence of long delays, with large and rapid variation in the actuation or sensing path, or in the presence of long delays affecting th...
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ISBN:
(数字)9781611972856
ISBN:
(纸本)9781611973174
The authors have developed a methodology for control of nonlinear systems in the presence of long delays, with large and rapid variation in the actuation or sensing path, or in the presence of long delays affecting the internal state of a system. In addition to control synthesis, they introduce tools to quantify the performance and the robustness properties of the designs provided in the book.
The book is based on the concept of predictor feedback and infinite-dimensional backstepping transformation for linear systems and the authors guide the reader from the basic ideas of the concept — with constant delays only on the input — all the way through to nonlinear systems with state-dependent delays on the input as well as on system states.
Readers will find the book useful because the authors provide elegant and systematic treatments of long-standing problems in delay systems, such as systems with state-dependent delays that arise in many applications. In addition, the authors give all control designs by explicit formulae, making the book especially useful for engineers who have faced delay-related challenges and are concerned with actual implementations and they accompany all control designs with Lyapunov-based analysis for establishing stability and performance guarantees.
This work is concerned with the design and optimization of distributed consensus filters for infinite dimensional systems. It is assumed that different sensors are available to provide state information of the infinit...
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ISBN:
(纸本)9781467357173
This work is concerned with the design and optimization of distributed consensus filters for infinite dimensional systems. It is assumed that different sensors are available to provide state information of the infinite dimensional process and it is desired to design distributed filters, each of which is utilizing its own sensor, with the ultimate goal of arriving at an improved estimate of the infinite dimensional process state. The consensus filters for the infinite dimensional system are proposed and their well-posedness and convergence properties are examined for the case of limited connectivity between the agents generating the distributed filters. A modification in the form of an adaptive consensus gain is also proposed and the convergence properties are examined. Using Lyapunov-redesign methods for the infinite dimensional system, stable adaptive laws for the consensus weights are presented.
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