The sub-Nyquist nonuniform sampling (SNNS) scheme and the corresponding perfect reconstruction formula are addressed. Also, a condition to enable the perfect reconstruction of the continuous-time signal from its nonun...
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The sub-Nyquist nonuniform sampling (SNNS) scheme and the corresponding perfect reconstruction formula are addressed. Also, a condition to enable the perfect reconstruction of the continuous-time signal from its nonuniform samples is derived. The average sampling rate of the proposed SNNS method is less than or equal to the sampling rate of the Nyquist uniform sampling method.
The paper presents formulation and implementation of Weighted Least Squares algorithm with moving measurement window for a grey box model parameters estimation purposes. The grey box of a biological reactor dynamics i...
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The paper presents formulation and implementation of Weighted Least Squares algorithm with moving measurement window for a grey box model parameters estimation purposes. The grey box of a biological reactor dynamics is used by Model Predictive controller to control integrated wastewater treatment system at medium time scale. The parameter estimation Weighted Least Squares algorithm is validated by simulation based on recently developed and calibrated model of integrated wastewater treatment system in Kartuzy, Poland.
control of integrated wastewater treatment plant-sewer systems under full range of disturbance inputs enforces employing advanced optimising control algorithms. The control activities are hierarchically structured int...
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control of integrated wastewater treatment plant-sewer systems under full range of disturbance inputs enforces employing advanced optimising control algorithms. The control activities are hierarchically structured into a multilevel-multilayer form Model Predictive control is chosen as a core control technology. As it is impossible to handle sufficiently well all operating conditions of this system, the operating states of the system are distinguished and these are: normal, disturbed and emergency. Formulation of operational states requires introducing the concepts of the core and secondary objectives that divide the system objectives into obligatory and additionally ones. Different control trajectories are designed for corresponding operational states in order to best adopt control actions to current plant conditions. In order to effectively control such complex system the Supervisory Level (SuCL) is introduced. Its main functionality is: to coordinate activities of the control structure, to asses operational states of the system, to asses selection of the control strategies, to asses imposed control setpoints realisation and risk of not fulfilling the objectives. Paper describes units adjacent to SuCL that major function is to provide the information needed by the SuCL and decision making process.
The paper deals with a bulk solid pressure observation inside a silo using new developed 3Dimensional (Triaxial) Indicator. New design and conception of the 3D indicator have been developed exclusively for detecting o...
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The paper describes set-bounded parameters and state estimation component for Model Predictive control of integrated wastewater treatment plant at medium time scale purposes. This is one of the components within Intel...
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The paper describes set-bounded parameters and state estimation component for Model Predictive control of integrated wastewater treatment plant at medium time scale purposes. This is one of the components within Intelligent Hierarchical control Structure designed in order to cope with problems of the controlled system such us: multiple time scale, highly non linear dynamics, small number of on-line measurements etc. The set-bounded joined parameter and state estimation algorithm generates robust estimates of these parameters and state for Model Predictive control purposes. Both, the estimation algorithm and the Model Predictive controller utilise a grey-box model of controlled plant dedicated for medium time scale. The set-bounded joined state and grey-box model parameters estimation algorithm is validated by simulation. The data were taken partly from real data records gathered at Kartuzy WWTP in Poland and partly from the Kartuzy plant simulation based on recently developed and calibrated plant model.
It is well-known that for linear systems internal asymptotic stability implies external stability in the sense that when the external input is in L/sub p/ then also the state will be in L/sub p/. However, for the cont...
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It is well-known that for linear systems internal asymptotic stability implies external stability in the sense that when the external input is in L/sub p/ then also the state will be in L/sub p/. However, for the control of linear systems with saturation where the controlled system is nonlinear this implication is no longer directly applicable. Several people have studied the effect of external inputs in L/sub p/ either directly or in the context of ISS as introduced by Sontag. In this paper we study the effect of external stochastic disturbances on linear systems with input saturation and we establish that when we can achieve internal global asymptotic stability then we can also achieve a bounded variance for the state.
Repetitive processes are a distinct class of 2D systems (i.e. information propagation in two independent directions) of both systems theoretic and applications interest. They cannot be controlled by direct extension o...
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Repetitive processes are a distinct class of 2D systems (i.e. information propagation in two independent directions) of both systems theoretic and applications interest. They cannot be controlled by direct extension of existing techniques from either standard (termed 1D here) or 2D systems theory. Here we give new results on the relatively open problem of the design of physically based control laws. These results are for the sub-class of so-called discrete linear repetitive processes, which arise in applications areas such as iterative learning control.
This work solves a problem of the inverted pendulum system regulation using a fuzzy regulator. As this regulator has been used the programmable logic controller (PLC) Tecomat TC600, type 607. The PLC is connected to t...
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This work solves a problem of the inverted pendulum system regulation using a fuzzy regulator. As this regulator has been used the programmable logic controller (PLC) Tecomat TC600, type 607. The PLC is connected to the personal computer (PC) by the use of a voltage converter and an industrial PC card PCI 1751. The PC works as a simulation device of the inverted pendulum system, where the simulation is performed by a program created in the Delphi programming language version 5. The fuzzy model used in the fuzzy regulator is designed directly for the inverted pendulum system. The whole application has been successfully tested and also very good results have been reached.
Difficulties occur when one universal control strategy attempts controlling a plant that is under wide range of operating conditions. In order to best adopt the control strategy to existing conditions three operationa...
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Difficulties occur when one universal control strategy attempts controlling a plant that is under wide range of operating conditions. In order to best adopt the control strategy to existing conditions three operational states: normal, disturbed and emergency are distinguished and the corresponding control strategies are designed. Appearance of different control strategies at hand enforces finding a mechanism to switch between them. It can be done in a hard or a soft manner. In case of wastewater systems the second solution is preferable. The paper describes two methods of soft switching between control strategies based on Model Predictive control (MPC) as a control technology Supervisory control Level (SuCL) mounted at the top of hierarchical multilevel-multilayer control structure is responsible for the conducting the switching process. The switching instants, switching time and way of switching are parameters to be selected by the SuCL. The soft switching concepts were examined based on wastewater system in Kartuzy, Poland.
This paper discusses how to calculate the compensation voltages in dynamic voltage restorers (DVR) by use of PQR power theory. Directly sensed three-phase voltages are transformed to p-q-r coordinates without time del...
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This paper discusses how to calculate the compensation voltages in dynamic voltage restorers (DVR) by use of PQR power theory. Directly sensed three-phase voltages are transformed to p-q-r coordinates without time delay, then the reference voltages in p-q-r coordinates have very simple form: dc values. The controller in p-q-r coordinates is very simple and clear, has better steady state and dynamic performance than conventional controllers. The controlled variables in p-q-r coordinates are then inversely transformed to the original a-b-c coordinates instantaneously, generating reference compensation voltages to a DVR. The control algorithm can be used for various kinds of series compensators such as dynamic voltage restorers (DVR), series active filters (SAP), synchronous static series compensators (SSSC), and bootstrap variable inductances (BVI). The control algorithm was applied to an experimental DVR system. The experimental results verified the performance of the proposed control algorithm.
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