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095 Inverses of n-D polynomial matrices
394
Abstracts
results show the efficiency of the achieved commutative COlltroll~.
088 Control of an Electromechanical Drive Using V.S.S.C. with Dubious Parameters 0. Malass& H. Rasik, S. Machmoum, C. Ding, pp 384-387 The sliding mode control of electromechanical drives is very attractive nowadays, and many researchers use it for its beneficial properties. If a Fast possibility, consisting of control law applying the commutations directly to the power supply, have interested a higher number of researchers, a second possibility consisting of control law applying the commutations to the state feedback vector is less used. In this paper this second concept of control is analyzed and tested. Some simulation results which illustrate performance of this control law are presented and a close agreement between the analyzed and the experimental waveforms is obtained.
092 On the Structure of Finite Memory and Separable 2D S stems E. Fornasinl, J .E. Vakber, pp 400-403 Several characterizations of Ftite memory and separability properties of 2D systems are presented in terms of both the characteristic polynomial and the matrix pair that describes the state evolution. Necessary and sufficient conditions for a Fmite memory or separable 2D system to have an inverse with the same pope&es are given, that refer only to the structure of the transfer matrix. 093 Stability of Nonconvolutlonal n-D Systems J. Gregor, pp 404406 Linear shift invariant n-D systems for which the concept of impulse response and/or transfer function is meaningless, require new approaches to the problem of BIB0 stabiIitv. In this naner some sufftcient and some necessary cot&ions of &BO stability of these systems are presented.
OS9 Multivarlable Adaptive Control for the Design of STT Missile Autopilots* P. Bendotti, M. M’Saad, pp 388391 This paper presents an application of the adaptive control techniques to the design of skid-to-turn (SIT) missile The adaptive controller is obtained by autopilots. combining a multivariable linear quadratic control design with a robust parameter estimator with respect to relatively large aerodynamic variations and modeling errors. Of particular importance, the control design as well as the parameter estimation are derived in the discrete-time domain using the 6 operator formulation. Realistic simulations involving a physical model of an SIT missile are reported to demonstrate the performance and stability robustness of the autopilot. 090 Numericai Algorithms and Software Tools for Analysis and Modelling of Descriptor Systems A. Varga, pp 392-395 The paper presents a state-of-the art overview of algorithms and software for analysis and modelling of linear descriptor systems, focusing on algorithms for which reliable software implementations are already available. Most of the mentioned software tools belong to a small FORTRAN subroutines librarv. DESCRIPT. developed by the author. This contains robust implementations of numerically reliable algorithms covering the basic computational problems in the analysii- and modelling of descriptor systems. DESCRIPT is the First svstematized collection of , software tools dedicated to descriptor systems. The analysis and modelling facilities available in the interactive package CASAM are based exclusively on the subroutines from DESCRIPT 091 Algebraic Design of Linear Multivariable Systems. Use of Symbolic Computation (MATHEMATICA) A. Benamara, J.P. Guerin, pp 396-399 The aim of this paper is to present a software package for the algebraic design of linear multivariable control. The package is developed using the symbolic manipulation system, MATHEMATICA. The central i&a is to perform all the basic algorithms over any Principal Ideal Domain (PID). Them the user can select from the usual function rings and can study both continuous and discrete-time systems. Some classical control problems that can be solved with this package are presented.
094 Floquet-Lyapunov Transformation for 2-D Periodk Linear Systems T. Kaczorek, pp 408-411 The Floquet-Lyapunov transformation is extended for singular 2-D systems with periodically variable Conditions under which there exists a coefficients. Floquet-Lyapunov-type transformation are established and a formula determining the matrix of linear transformation is derived. A canonical form of the transformed model is defined. Sufftcient conditions under which the model may be transformed to its canonical form are also given.
095 Inverses of n-D Polynomial Matrices M. Sebek, pp 412415 Inverse sequences to causal as well as noncausal square n-D polynomial matrices are studied. It is shown that while a causal polynomial matrix possesses a unique matrix sequential inverse, a noncausal one may have different inverses on different supports. Moreover, some of these inverse sequences are commutative while the others do not commute with the given matrix at all. In this way, one more difference is identified between 1-D and n-D systems.
0% MA Representation of 1,2D Systems P. Rocha, pp 416-418 This paper studies the representation of 2D systems with 1, signals. Starting from a (deterministic) 2D AR model, the conditions under which there exists an alternative description of the MA type are investigated. Such a description is further used in order to obtain a 2D statespace model for the given system.
097 2D Transfer-Functions Based Controller Design for Differential Linear Repetitive Processes E. Rogers, D.H. Owen, pp 420-423 This paper develops the basis of a 2D transfer-function approach to the control of differential repetitive processes.
Abstracts
results show the efficiency of the achieved commutative COlltroll~.
088 Control of an Electromechanical Drive Using V.S.S.C. with Dubious Parameters 0. Malass& H. Rasik, S. Machmoum, C. Ding, pp 384-387 The sliding mode control of electromechanical drives is very attractive nowadays, and many researchers use it for its beneficial properties. If a Fast possibility, consisting of control law applying the commutations directly to the power supply, have interested a higher number of researchers, a second possibility consisting of control law applying the commutations to the state feedback vector is less used. In this paper this second concept of control is analyzed and tested. Some simulation results which illustrate performance of this control law are presented and a close agreement between the analyzed and the experimental waveforms is obtained.
092 On the Structure of Finite Memory and Separable 2D S stems E. Fornasinl, J .E. Vakber, pp 400-403 Several characterizations of Ftite memory and separability properties of 2D systems are presented in terms of both the characteristic polynomial and the matrix pair that describes the state evolution. Necessary and sufficient conditions for a Fmite memory or separable 2D system to have an inverse with the same pope&es are given, that refer only to the structure of the transfer matrix. 093 Stability of Nonconvolutlonal n-D Systems J. Gregor, pp 404406 Linear shift invariant n-D systems for which the concept of impulse response and/or transfer function is meaningless, require new approaches to the problem of BIB0 stabiIitv. In this naner some sufftcient and some necessary cot&ions of &BO stability of these systems are presented.
OS9 Multivarlable Adaptive Control for the Design of STT Missile Autopilots* P. Bendotti, M. M’Saad, pp 388391 This paper presents an application of the adaptive control techniques to the design of skid-to-turn (SIT) missile The adaptive controller is obtained by autopilots. combining a multivariable linear quadratic control design with a robust parameter estimator with respect to relatively large aerodynamic variations and modeling errors. Of particular importance, the control design as well as the parameter estimation are derived in the discrete-time domain using the 6 operator formulation. Realistic simulations involving a physical model of an SIT missile are reported to demonstrate the performance and stability robustness of the autopilot. 090 Numericai Algorithms and Software Tools for Analysis and Modelling of Descriptor Systems A. Varga, pp 392-395 The paper presents a state-of-the art overview of algorithms and software for analysis and modelling of linear descriptor systems, focusing on algorithms for which reliable software implementations are already available. Most of the mentioned software tools belong to a small FORTRAN subroutines librarv. DESCRIPT. developed by the author. This contains robust implementations of numerically reliable algorithms covering the basic computational problems in the analysii- and modelling of descriptor systems. DESCRIPT is the First svstematized collection of , software tools dedicated to descriptor systems. The analysis and modelling facilities available in the interactive package CASAM are based exclusively on the subroutines from DESCRIPT 091 Algebraic Design of Linear Multivariable Systems. Use of Symbolic Computation (MATHEMATICA) A. Benamara, J.P. Guerin, pp 396-399 The aim of this paper is to present a software package for the algebraic design of linear multivariable control. The package is developed using the symbolic manipulation system, MATHEMATICA. The central i&a is to perform all the basic algorithms over any Principal Ideal Domain (PID). Them the user can select from the usual function rings and can study both continuous and discrete-time systems. Some classical control problems that can be solved with this package are presented.
094 Floquet-Lyapunov Transformation for 2-D Periodk Linear Systems T. Kaczorek, pp 408-411 The Floquet-Lyapunov transformation is extended for singular 2-D systems with periodically variable Conditions under which there exists a coefficients. Floquet-Lyapunov-type transformation are established and a formula determining the matrix of linear transformation is derived. A canonical form of the transformed model is defined. Sufftcient conditions under which the model may be transformed to its canonical form are also given.
095 Inverses of n-D Polynomial Matrices M. Sebek, pp 412415 Inverse sequences to causal as well as noncausal square n-D polynomial matrices are studied. It is shown that while a causal polynomial matrix possesses a unique matrix sequential inverse, a noncausal one may have different inverses on different supports. Moreover, some of these inverse sequences are commutative while the others do not commute with the given matrix at all. In this way, one more difference is identified between 1-D and n-D systems.
0% MA Representation of 1,2D Systems P. Rocha, pp 416-418 This paper studies the representation of 2D systems with 1, signals. Starting from a (deterministic) 2D AR model, the conditions under which there exists an alternative description of the MA type are investigated. Such a description is further used in order to obtain a 2D statespace model for the given system.
097 2D Transfer-Functions Based Controller Design for Differential Linear Repetitive Processes E. Rogers, D.H. Owen, pp 420-423 This paper develops the basis of a 2D transfer-function approach to the control of differential repetitive processes.