| 1. |
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| 2. |
- Ljung, Lennart, 1946-, et al.
(författare)
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Identifiability Implies Robust Identifiability
- 1993
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Ingår i: Proceedings of the 32nd IEEE Conference on Decision and Control. - Linköping : Linköping University. - 0780312988 ; , s. 567-569 vol.1
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Konferensbidrag (refereegranskat)abstract
- In identification from a deterministic point of view an algorithm is said to be robustly convergent if the true system is regained when the noise level tends to zero. In this paper we introduce a concept close to this performance measure: robust global identifiability. A model structure, i.e. a smoothly parametrized set of models, is said to be robustly globally identifiable if there exist an identification algorithm such that the true parameters are regained when the noise level tends to zero. We show that global identifiability implies robust global identifiability when the model structure in consideration is a characteristic set of differential polynomials.
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| 3. |
- Chen, Ke Wang, et al.
(författare)
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Estimation of the Primary Current in a Saturated Transformer
- 1991
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Ingår i: Proceedings of the 30th IEEE Conference on Decision and Control. - Linköping : Linköping University. - 0780304500 ; , s. 2363-2365 vol.3
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Konferensbidrag (refereegranskat)abstract
- It is pointed out that, when a current in a power system is measured using a transformer, the measurement can be distorted by transformer saturation. The authors examine two methods of estimating the primary current from the secondary in the presence of saturation. The first is based on an extended Kalman filter, while the second is based on an off-line Gauss-Newton method
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| 4. |
- Forsman, Krister, et al.
(författare)
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Constructive Algebra and Control Theory
- 1993
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Ingår i: Proceedings of the 1993 International Symposium on The Mathematical Theory of Networks and Systems. - Linköping : Linköping University. - 9783055016615 ; , s. 149-152
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Rapport (övrigt vetenskapligt/konstnärligt)
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| 5. |
- Glad, Torkel, 1947-, et al.
(författare)
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Constructive Algebraic Geometry in Nonlinear Control
- 1990
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Ingår i: Proceedings of the 29th IEEE Conference on Decision and Control. - Linköping : Linköping University. ; , s. 2825-2827
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Konferensbidrag (refereegranskat)abstract
- It is shown how Grobner bases can be used to solve some common problems in nonlinear systems theory efficiently. These problems include finding critical levels of local Lyapunov functions and solving the equations that arise in the harmonic balancing method. The methods proposed are illustrated by some concrete examples in which the computer algebra system Maple is used for performing the necessary calculations.
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| 6. |
- Glad, Torkel, 1947-
(författare)
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Differential Algebraic Modelling of Nonlinear Systems
- 1990
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Ingår i: Realization and Modelling in System Theory. - Boston ; Basel : Birkhäuser Verlag. - 081763469X - 376433469X - 0817634681 - 9781461280330 ; , s. 97-105
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Bokkapitel (övrigt vetenskapligt/konstnärligt)abstract
- This paper discusses how the concepts of differential algebra can be used in the modelling of physical systems. In particular it is shown that the concepts of ranking and characteristic set can be used to give a structure to the set of physical equations. The characteristic set makes it easy to find the number of inputs and the order of the system. The question of observability can also be investigated using the characteristic set. In particular one can see that the order of an input output differential equation will be the same as the system order if and only if all variables are observable from the output.
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| 7. |
- Glad, Torkel, 1947-
(författare)
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Implementing Ritt's Algorithm of Differential Algebra
- 1992
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Ingår i: Proceedings of the 2nd IFAC Symposium on Control Systems Design. - Linköping : Linköping University. - 9780080419015 ; , s. 610-614
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Konferensbidrag (refereegranskat)
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| 8. |
- Glad, Torkel, 1947-
(författare)
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Input Output Representations from Characteristic Sets
- 1991
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Ingår i: Proceedings of the 30th IEEE Conference on Decision and Control. - Linköping : Linköping University. - 0780304500 ; , s. 726-730 vol.1
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Konferensbidrag (refereegranskat)abstract
- The authors present an algorithm for computation of input-output descriptions. Characteristic sets can be considered as generalization of state space descriptions. Input-output descriptions can also be regarded as characteristic sets under a different ranking. This forms the basis of the differential algebraic algorithm for computation of input-output relations. For polynomial state-space descriptions the calculations are easier than the general computations of characteristic sets.
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| 9. |
- Fliess, M, et al.
(författare)
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An Algebraic Approach to Linear and Nonlinear Control
- 1993
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Ingår i: Essays on Control. - Boston ; Basel : Birkhäuser. - 0817636706 - 3764336706 ; , s. 223--267
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Bokkapitel (refereegranskat)abstract
- The analysis and design of control systems has been greatly influenced by the mathematical tools being used. Maxwell introduced linear differential equations in the 1860’s. Nyquist, Bode and others started the systematic use of tranfer functions, utilizing complex analysis in the 1930’s. Kalman brought forward state space analysis around 1960. For nonlinear systems, differential geometric concepts have been of great value recently. We will argue here that algebraic methods can be very useful for both linear and nonlinear systems. To give some motivation we will begin by looking at a few examples.
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| 10. |
- Fliess, Michel, et al.
(författare)
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An Algebraic Approach to Linear and Nonlinear Control
- 1994
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Rapport (övrigt vetenskapligt/konstnärligt)abstract
- The analysis and design of control systems has been greatly influenced by the mathematical tools being used. Maxwell introduced linear differential equations in the 1860’s. Nyquist, Bode and others started the systematic use of tranfer functions, utilizing complex analysis in the 1930’s. Kalman brought forward state space analysis around 1960. For nonlinear systems, differential geometric concepts have been of great value recently. We will argue here that algebraic methods can be very useful for both linear and nonlinear systems. To give some motivation we will begin by looking at a few examples.
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