this paper addresses the design of an adaptive control strategy for an alcoholic fermentation bioprocess, which takes place inside of a Fed-batch Bioreactor (FBB). this bioprocess is highly nonlinear, some state varia...
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this paper addresses the design of an adaptive control strategy for an alcoholic fermentation bioprocess, which takes place inside of a Fed-batch Bioreactor (FBB). this bioprocess is highly nonlinear, some state variables are not measurable and moreover the reaction kinetics is not perfectly known. the kinetic parameters are estimated by using a high-gain nonlinear estimator. An asymptotic state observer is derived so as to provide the unavailable states necessary to the kinetics estimator. Finally, the indirect adaptive control law is designed by combining a linearizing controller withthe nonlinear observers. Several numerical simulations are performed, in order to test the proposed nonlinear adaptive control strategy.
the problem of state estimation with partially unknown system dynamics is proposed and discussed. the unknown part of nonlinear functions in system dynamics are approximated by neural networks (NN's). System state...
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the problem of state estimation with partially unknown system dynamics is proposed and discussed. the unknown part of nonlinear functions in system dynamics are approximated by neural networks (NN's). System state and the NN unknown parameters are estimated simultaneously in real-time without necessity of any off-line training process of NN. three local estimators were applied to the problem of NN based state estimation. the estimation qualities of the considered estimators are compared within three numerical examples covering a different kind of uncertainty in the model description.
In the paper the path following problem for a wheeled mobile robot of (2,0) type is considered. the Serret-Frenet frame is used to describe the robot relative to the desired path. the way how to transform obtained equ...
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In the paper the path following problem for a wheeled mobile robot of (2,0) type is considered. the Serret-Frenet frame is used to describe the robot relative to the desired path. the way how to transform obtained equations describing kinematic model derived with respect to the Serret-Frenet frame into the chained form is introduced. the kinematic control algorithm which is a combination of Astolfi algorithm - used for systems in the chained form - and Samson algorithm - dedicated to the unicycle - is proposed and compared to the Morin-Samson algorithm. Simulation results are shown to verify the effectiveness of the proposed method.
To calculate feedforward control strategies by means of dynamic optimization procedures, the alternatives of direct and indirect methods are compared in this paper. the direct optimization approaches that are consider...
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To calculate feedforward control strategies by means of dynamic optimization procedures, the alternatives of direct and indirect methods are compared in this paper. the direct optimization approaches that are considered in this paper make use of the Hermite-Simpson method and of the Legendre Pseudospectral method as underlying discretization strategies. their description is followed by a short introduction to the maximum principle of Pontryagin, i.e., the indirect method. All procedures are employed to compute feedforward control sequences for the flight control of a four-rotor UAV, which is an unstable, nonlinear multi-input multi-output system. the optimization results are compared with respect to their accuracy and applicability.
the paper proposes a carrier synchronization procedure for high-order QAM modulated signals that uses a decision-directed extended Kalman filtering (EKF) technique. the proposed method combines the Kalman filter with ...
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the paper proposes a carrier synchronization procedure for high-order QAM modulated signals that uses a decision-directed extended Kalman filtering (EKF) technique. the proposed method combines the Kalman filter with a lock detector to establish the status of the synchronization process, modifying adaptively the Kalman filter parameters. As compared withthe complete EKF filter, the proposed synchronization algorithm simplifies the Kalman measurement model to a single scalar equation reducing significantly the computational complexity of the algorithm. Simulations show that the simplified Kalman algorithm has equivalent synchronization performances withthe complete EKF filter.
In the paper a multicontroller-based switchable control system for nonlinear MIMO plants is presented. the control system synthesis is carried out by linearization of the adopted nonlinear plant model at its operating...
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In the paper a multicontroller-based switchable control system for nonlinear MIMO plants is presented. the control system synthesis is carried out by linearization of the adopted nonlinear plant model at its operating “points”. thus the considered structure contains a collection of linear feedback controllers. In the first stage of the adopted method a great number of controllers is synthesized. the paper discuss problems with reduction of such controller set to make it smaller and possible to implement the system in e.g. constrained memory of programmable automation devices. As an example a nonlinear model of a drilling vessel in three degrees of freedom (3DOF) on a sea surface is used as a MIMO plant to be controlled. Here the controller set depends on the preset ship yaw angle and the velocity of the sea current. the methods of reduction and their possible results are compared and discussed.
this paper considers the design of observers for a class of continuous and discrete-time nonlinear systems presented by Takagi-Sugeno (T-S) model with nonlinear subsystems and unmeasurable premise variables. As a resu...
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this paper considers the design of observers for a class of continuous and discrete-time nonlinear systems presented by Takagi-Sugeno (T-S) model with nonlinear subsystems and unmeasurable premise variables. As a result, the proposed T-S structure reduces the number of rules in the Sugeno model by using local nonlinear rules. Moreover, it can represent larger class of nonlinear systems as compared to the measurable premise variable case. the proposed observer guarantees exponential convergence of state estimation error by Lyapunov stability analysis and linear matrix inequality (LMI) formulation. Numerical examples illustrate effectiveness of the proposed method.
In this paper we discuss a problem of numerical calculation accuracy of the Fractional-order Backward Difference/Sum (FOBD/S) of some discrete functions applied in discrete control strategies, in real-time closed-loop...
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In this paper we discuss a problem of numerical calculation accuracy of the Fractional-order Backward Difference/Sum (FOBD/S) of some discrete functions applied in discrete control strategies, in real-time closed-loop systems. We compare Grünwald-Letnikov formula vs. its Horner's equivalent form, as well as their “simplified” forms, in our opinion, an interesting tool in minimization of the time and memory shortage problems often to meet in such systems.
In the paper, a variant of the genetic algorithm for finding the location and size of small holes is considered. Both linear and non-linear elliptic boundary value problems are introduced in two domains withthe condi...
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In the paper, a variant of the genetic algorithm for finding the location and size of small holes is considered. Both linear and non-linear elliptic boundary value problems are introduced in two domains withthe conditions of transmission on the common boundary. the expansion of the shape functional for non-linear part and the expansion of Steklov-Poincare operator for linear part are provided in order to determine the form of topological derivative for the coupled model. the value of topological derivative is used for computing the probability density applied later in generating location of holes for genetic algorithm.
the paper deals with a study of model predictive control applied to three-phase Permanent Magnet Synchronous Motors (PMSM). these motors are used in drives of robots and machine tools. the construction of their model ...
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the paper deals with a study of model predictive control applied to three-phase Permanent Magnet Synchronous Motors (PMSM). these motors are used in drives of robots and machine tools. the construction of their model is discussed here with respect to a model-based control design. the model is composed via mathematical-physical analysis. the analysis is outlined in the main theoretical points. the predictive control is explained as a promising alternative to standard solution based on vector cascade control. In predictive control design, the quadratic criterion, equations of predictions and specific square-root optimization procedure are explained. the proposed solution is illustrated by several simulation examples and compared with data records of real experiment of vector control.
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