RELATIVE ORDER OF SAMPLED LINEAR TIME-INVARIANT SYSTEMS
Annotation
The paper considers the rank behavior of the matrix leading coefficient of transfer function numerator of a sampled multidimensional linear time-invariant system when the sampling period tends to zero. Zero order hold sampling method is used. It is shown that the rank of the coefficient under consideration for all sufficiently small values of the sampling period is maximal if the natural condition of nonsingularity of the initial continuous prototype system is satisfied. In particular, if the dimensions of the system input and output coincide, then sampled system with a nonsingular leading coefficient is generated with any sufficiently small sampling period. This feature plays an important role in solving many problems of control theory. For example, the classical criterion of decouplability of linear systems requires the nonsingularity of the system interactor, and for systems with a nonsingular leading coefficient, this condition is satisfied automatically. In the following,while the synthesis of minimax regulators for general form discrete systems, the artificial reduction of the system to the form with the maximal rank of the leading coefficient is one of the first steps in an optimal regulator design. The results of this work have proved that this step is superfluous if a discrete system under control is a result of sampling of a nonsingular system, as is often the case. The results of the work are illustrated by the example of an induction motor discrete model.
Keywords
Постоянный URL
Articles in current issue
- RESONANT AND NON-RESONANT INTERACTION OF SEMICONDUCTOR NANOCRYSTALS WITH LOCALIZED PLASMONS
- LIGHT PROPAGATION IN PLANAR TOTAL INTERNAL REFLECTION WAVEGUIDE WITH QUANTUM WELL
- DETECTION OF DIABETES MELLITUS TYPE II BY INFRARED SPECTROSCOPY AND MULTIVARIATE ANALYSIS
- MULTI-ROTOR UNMANNED AERIAL VEHICLE CONTROL SYSTEM BASED ON HYBRID NEUROREGULATOR
- STABILITY OF NONLINEAR DYNAMICAL SYSTEM MOTION UNDER CONSTANTLY ACTING PERTURBATIONS
- SPECTRAL AND LUMINESCENT PROPERTIES OF GLASSES DOPED WITH ERBIUM IONS BASED ON 98MgCaSrBaYAl2F14-2Ва(РО3)2
- THERMOELECTRIC COOLING MODULE WITH DAMPING CONDUCTOR ON COLD SPAYS
- COMPLEX RESEARCH OF E.coli VITAL ACTIVITY DYNAMICS IN PRESENCE OF TRANSITION METAL IONS
- CHEMICAL MECHANICAL POLISHING OF NONLINEAR OPTICAL ORGANIC CO-CRYSTALS BASED ON AMINOPYRIDINE SERIES
- MICROSTRUCTURE RESEARCH OF FLOAT-TYPE GYRO ROTORS BY SCANNING ELECTRON MICROSCOPE
- APPLICATION OF DIGITAL FACIAL ANTHROPOMETRY (Review paper)
- MODEL OF MULTI-LEVEL DATA STORAGE SYSTEM
- ORTHOGONAL NOISE-LIKE SIGNAL SYMBOLS FOR BROADBAND CHANNEL PROTECTION
- RATIONAL SELECTION OF WORK PERFORMERS FOR INFORMATION SYSTEM DESIGN PROJECTS
- CRITERIA FOR TEXT CONFORMITY TO SCIENTIFIC STYLE
- HIGH-LEVEL SYNTHESIS SYSTEM BASED ON HYBRID RECONFIGURABLE MICROARCHITECTURE
- CONTROL METHODS FOR UPPER EXTREMITY PROSTHESES
- SIGNAL FILTRATION ALGORITHMS FOR ULTRASONIC SENSORS IN OBSTACLE DETECTION DEVICES
- TRANSFER LEARNING FOR IMAGE CLASSIFICATION OF PRIMARY MORPHOLOGICAL ELEMENTS OF SKIN LESIONS
- PARAMETRIC IDENTIFICATION OF SHIP MODEL BY SYMMETRIC MOTIONS AROUND ROLL ANGLE WITH TAUTWIRE REFERENCE POSITION SENSOR
- STUDY OF ELECTROMAGNETIC TORQUE PULSATIONS IN PRECISION SERVO DRIVES WITH SINUSOIDAL PULSE-WIDTH MODULATION
- ULTRAVIOLET SPECTROPHOTOMETRIC METHOD AND WATER HYDROCARBON IMPURITY SENSOR
- HOLOGRAPHIC RECORDING IN PHOTOPOLYMERIZED NANOCOMPOSITE WITH DAST NANOCRYSTALS
- FLUORESCENCE ENHANCEMENT OF SCANDIUM COMPOUNDS WITH2-NAPHTHOYLTRIFLUOROACETONE IN WATER SOLUTION
- PROGRAM CODE OPTIMIZATION OF RELACY RACE DETECTOR LIBRARY