The paper presents a new approach to the dynamic stabilization of the pendulum in an arbitrary angle. In this approach the desired angle of the pendulum's position is changed in time. This is achieved by controlli...
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The paper presents a new approach to the dynamic stabilization of the pendulum in an arbitrary angle. In this approach the desired angle of the pendulum's position is changed in time. This is achieved by controlling the angle of oscillations of the pendulum's suspension point which leads to controlling the pendulum in a moving potential well. The exemplary form of the input control was proposed and then the ability to control the pendulum was confirmed by numerical analysis. Additionally, the transition of the pendulum through the whole range of its angle position has been shown.
A general tracking control problem is solved for a chaotic system (Duffing oscillator) with unknown parameters, under the additional requirement that the tracking error must remain inside an imposed hard constraint. T...
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A general tracking control problem is solved for a chaotic system (Duffing oscillator) with unknown parameters, under the additional requirement that the tracking error must remain inside an imposed hard constraint. The barrier Lyapunov functions technique is applied in an adaptive backstepping scheme. Several system properties are investigated and benefits coming from state variable constraints are discussed. The same approach may be used for chaos synchronization and chaotification.
In this paper properties of adaptive algorithms utilising ideas of stochastic gradient search optimisation applied to noise reduction are discussed. A focus on their average rate of convergence as well as on the obtai...
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In this paper properties of adaptive algorithms utilising ideas of stochastic gradient search optimisation applied to noise reduction are discussed. A focus on their average rate of convergence as well as on the obtained noise reduction is given. The presented discussion is based on a simulation case study devoted to noise reduction using a feedforward adaptive active noise control system.
In this study, the dynamics and control aspects of a spherical rolling robot's lateral motion are investigated. An approximate, simplified to a single plane, mathematical model is derived using Lagrange equations ...
In this study, the dynamics and control aspects of a spherical rolling robot's lateral motion are investigated. An approximate, simplified to a single plane, mathematical model is derived using Lagrange equations to check stability of the system. Utilizing the fusion of sensor data, a precise orientation measurement is achieved. Document focuses on a synthesis of a PID controller reducing sideway oscillations that occur in motion of a spherical robot with internal pendulum mechanism.
In this paper the incremental linear state-space model identification procedure is presented. In contrast to spacestate models incremental models are not popular due to their identification complication. Model structu...
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In this paper the incremental linear state-space model identification procedure is presented. In contrast to spacestate models incremental models are not popular due to their identification complication. Model structure selection, identification and validation procedures are described in details. Accurate prediction model cannot simultaneously be acceptable simulation model. They are identified using different algorithms and are used for different purposes. Proposed methodology shows that simple and good quality prediction incremental model can be obtained and used for future Model Predictive Control purposes.
In this paper we consider optimization problems related to calculating and H 2 performance of linear systems with structured uncertainty. A way to transform these problems that reduces computational power required to...
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In this paper we consider optimization problems related to calculating and H 2 performance of linear systems with structured uncertainty. A way to transform these problems that reduces computational power required to find their solutions is presented. The resulting approach allows finding performance lower bounds using an optimization method proposed earlier by the author. Its properties include being reasonably easy to use, and its search space coverage being adjustable via the algorithm's settings.
We analyse properties of the control system with switchings in parameters. We consider biological model of proteins production in three variants of the model structure: a simple model without any autoregulation, the o...
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We analyse properties of the control system with switchings in parameters. We consider biological model of proteins production in three variants of the model structure: a simple model without any autoregulation, the one with negative feedback loop and one with positive. In the system we introduce an action of drug in order to decrease proteins number. The drug application is considered as a step change of the protein degradation parameter. The aim of this work is to analyse stability of the model.
The optimal control problem with stopping for a discrete time linear stochastic system is investigated in this paper. Sometimes, in order to optimally realise the aim we need to know how long the system will be contro...
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The optimal control problem with stopping for a discrete time linear stochastic system is investigated in this paper. Sometimes, in order to optimally realise the aim we need to know how long the system will be controlled. The traditional solutions with fixed terminal time are not enough to control the system optimally. The general aim of optimal control and stopping consists in minimization of a composite cost function. The paper presents two methods of solving this problem. A numerical example is included to illustrate the optimal control with stopping.
The paper presents an approach to control development for FMSs with mobile-robot transport systems. The proposed architecture of the system comprises two loosely coupled DFSA based controllers that can cooperate with ...
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The paper presents an approach to control development for FMSs with mobile-robot transport systems. The proposed architecture of the system comprises two loosely coupled DFSA based controllers that can cooperate with both real and simulated plants. The formal representation of the control concept ensures its correctness, while the modular architecture of the system allows development and testing of different control policies for both supervisory control and motion control of the mobile robots. The proposed approach is illustrated by its example implementation in the Matlab/Simulink/stateflow programming environment.
Results of using fractional order PI current controller, and classical one, in case of cogging effect in servo drive are presented in the paper. The general cascade control system of the servo drive and motor model wi...
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Results of using fractional order PI current controller, and classical one, in case of cogging effect in servo drive are presented in the paper. The general cascade control system of the servo drive and motor model with dry friction are presented. The most significant result in case of using fractional order current controller (FOCC) observed for starting servo drive in the presence of cogging moment are presented and commented.
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