Dealing withthe strict analytic modelling of non-homogeneous physical objects (strings, beams etc.) control leads to the trigonometric non-Fourier moment problem. the existence of solution of such a problem is still ...
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Dealing withthe strict analytic modelling of non-homogeneous physical objects (strings, beams etc.) control leads to the trigonometric non-Fourier moment problem. the existence of solution of such a problem is still researched by many authors. the optimization of the solution is yet another problem. In current note, the algorithm for the solution withthe least L 2 -norm is developed. the proposed algorithm allows to change an infinite system of moment equations into the linear one with only a finite number of equations. the idea of the approximating algorithm is based on the concept of quadratically close Hilbert spaces. this concept is the key point of approximation of optimal control. the note is concluded withthe application of the proposed algorithm.
A well-known reactive motion planning technique, the dynamic window approach (DWA) provides an elegant way to navigate safely in the presence of obstacles, also taking the dynamic properties of the robot into account....
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A well-known reactive motion planning technique, the dynamic window approach (DWA) provides an elegant way to navigate safely in the presence of obstacles, also taking the dynamic properties of the robot into account. Most of the DWA-based methods have the same limitation, namely they use an objective function consisting of weighted terms. Different situations require different weights, however, there is no algorithm for choosing them. this paper presents a global dynamic window-based navigation scheme using model predictive control and having no weighted objective function. Former DWA-based methods take dynamic limitations of the robot by acceleration constraints into account. In contrast withthat, the proposed approach utilizes a dynamic motion model of the robot.
the paper deals with a set of the mathematical algorithms for a time parameterization of the motion paths of the machine tools. the key descriptors of the paths follow from CAD documentation, technical drawings or fro...
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the paper deals with a set of the mathematical algorithms for a time parameterization of the motion paths of the machine tools. the key descriptors of the paths follow from CAD documentation, technical drawings or from technological demands. the presented algorithms provide a time mapping of individual path coordinates. the algorithms are based on the kinematical relations and on analytical geometry in space. they work with position, velocity, acceleration and jerk quantities. All algorithms are implemented in a path simulator, which was developed as a user friendly utility windows application. the described mathematical principles are demonstrated by several testing motion paths.
this paper describes how to apply a group of alternative methodologies to the modeling and simulation of a three phase rectifier. the system is a full bridge rectifier with RC load, that consist of diodes that are mod...
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this paper describes how to apply a group of alternative methodologies to the modeling and simulation of a three phase rectifier. the system is a full bridge rectifier with RC load, that consist of diodes that are modeled withthe accurate and close-to-real constituve relation of Shockley. this constitutive relation bring an unvariable topology and a non linear nature to the whole system. the emerging non linearities are handled withthe described methodologies, and a procedure to formulate differential-algebraic equations (DAE) is reviewed. the obtained DAE is numerically solved and simulation results are presented. In order to prove the significance of the modeling and simulation approach, non standard conditions, such as unbalanced sources are included.
We consider the feedback stabilization of quasilinear hyperbolic systems on star-shaped networks. We present boundary feedback controls with varying delays. the delays are given by C 1 -functions with bounded derivati...
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We consider the feedback stabilization of quasilinear hyperbolic systems on star-shaped networks. We present boundary feedback controls with varying delays. the delays are given by C 1 -functions with bounded derivatives. We obtain the existence of unique C 1 -solutions on a given finite time interval. In order to measure the system evolution, we introduce an L 2 -Lyapunov function with delay terms. the feedback controls yield the exponential decay of the Lyapunov function with time. this implies the exponential stability of the system. Our results can be applied on the stabilization of the isothermal Euler equations with friction that model the gas flow in pipe networks.
the lifetime of a considerable number of satellites is significantly shortened by malfunctions occurring during operational period; therefore, unmanned satellite servicing missions are considered. this paper presents ...
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the lifetime of a considerable number of satellites is significantly shortened by malfunctions occurring during operational period; therefore, unmanned satellite servicing missions are considered. this paper presents an approach for analyses of various configurations and parameters of manipulator intended for on-orbit servicing. It is based on analytical method used to analyse workspace and singularities of the manipulator mounted on a free-floating satellite, and on numerical simulations of mission-specific manoeuvers (e.g., capture of malfunctioned satellite). the application of this approach to obtain parameters of the manipulator most suitable for defined servicing tasks is presented.
In this article we discuss the dynamic modelling of the propulsion system of an autonomous underwater vehicle (AUV), and also a method of fault tolerant control in an AUV that has four vertical and two horizontal thru...
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In this article we discuss the dynamic modelling of the propulsion system of an autonomous underwater vehicle (AUV), and also a method of fault tolerant control in an AUV that has four vertical and two horizontal thrusters. Firstly we made an analysis of the dynamic and kinematic effects of the vehicle, subsequently we did an analysis of dynamic propulsion system and then found out the state of the art of the underwater vehicle. through a series of simulations, it was validated our propulsion model system and its efficiency of the fault tolerant control working in conjunction withthe purpose of the vehicle to follow a desired path even when some thrusters is faulty.
Modelling agents by means of place/transition Petri nets (P/T PN) are introduced here and three possibilities of the agents cooperation and negotiation are introduced and analyzed. While PN places model states of atom...
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Modelling agents by means of place/transition Petri nets (P/T PN) are introduced here and three possibilities of the agents cooperation and negotiation are introduced and analyzed. While PN places model states of atomic activities, the PN transitions model discrete events. However, the cooperation and negotiation are concerned by means of P/T PN too. the cooperation and negotiation are realized by the mutual communication of agents on way of the information exchange by means of: (i) the particular states of the communicating agents through the interface realized by PN transitions; (ii) the mediate states of the interface represented by PN places (being components - states - of a supervisor); (iii) boththe PN transitions and the PN places. Finally, also the hierarchical cooperation is proposed, where the supervisor on upper level coordinates activities of autonomous agents on lower level.
the objective of the paper is to describe the genetic fuzzy-based method of designing the gain scheduling control system, which is the effective and wide used adaptive technique based on varying controller parameters ...
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the objective of the paper is to describe the genetic fuzzy-based method of designing the gain scheduling control system, which is the effective and wide used adaptive technique based on varying controller parameters according to the exogenous variables. the problem is addressed in the paper to find the minimum set of linear controllers scheduled by fuzzy interpolation scheme. the proposed method is based on the pole placement approach and interval mathematic used to define the desired region of poles around the operating point at which the controller is designed. the genetic algorithm is used to explore of searching space by competition between the fuzzy gain scheduling systems differing in number of fuzzy partitions distributed within the intervals of scheduling variables, and fine tuning the membership functions. the proposed approach is addressed in the paper to the anti-sway crane control problem.
this paper describes the kinematical analysis and control of a large spatial robot for base motion compensation using an inertial measurement unit. the proposed method is intended for a 6 degrees of freedom serial man...
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this paper describes the kinematical analysis and control of a large spatial robot for base motion compensation using an inertial measurement unit. the proposed method is intended for a 6 degrees of freedom serial manipulator, which compensates a large-amplitude spatial motion at its base such that the end effector maintains to a high degree a prescribed target location. Hereby, the robot circumvents hand wrist singularities by a new virtual redundant joint approach. the overall system is tested for a KUKA KR500 system and computergenerated as well as real wave signals with large amplitudes.
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