论文信息 - ON THE CONTROL OF LINEAR SYSTEMS HAVING INTERNAL VARIATIONS, PART I—REACHABILITY

ON THE CONTROL OF LINEAR SYSTEMS HAVING INTERNAL VARIATIONS, PART I—REACHABILITY

Abstract Non square implicit descriptions can be used for modelling a set of linear systems, characterized by a certain common structure. Necessary and sufficient conditions, expressed in terms of the overall implicit model, exist for controlling it so that it has a unique behaviour (whatever be the internal structure variations). We enhance from these conditions the parts which are due to the common internal dynamic equation and, respectively, to the algebraic constraints which are “controlled” (in an hidden way) by the degree of freedom.

Michel Malabre | Moisés Bonilla Estrada

[1] M. Malabre. More geometry about singular systems , 1987, 26th IEEE Conference on Decision and Control.

[2] M. Malabre. Generalized linear systems: geometric and structural approaches , 1989 .

[3] K. Özçaldiran. A geometric characterization of the reachable and the controllable subspaces of descriptor systems , 1986 .

[4] Jean Jacques Loiseau,et al. Proportional and proportional-derivative canonical forms for descriptor systems with outputs , 1994, Autom..

[5] Michel Malabre,et al. Geometric minimization under external equivalence for implicit descriptions , 1995, Autom..

[6] J. Willems. Input-output and state-space representations of finite-dimensional linear time-invariant systems , 1983 .

[8] Frank L. Lewis,et al. A tutorial on the geometric analysis of linear time-invariant implicit systems , 1992, Autom..

[9] A. Morse. Structural Invariants of Linear Multivariable Systems , 1973 .

[10] ON THE CONTROL OF LINEAR SYSTEMS HAVING INTERNAL VARIATIONS, PART II-CONTROL , 2002 .

[11] M. E. Bonilla,et al. Nonobservable and redundant spaces for implicit descriptions , 1991, [1991] Proceedings of the 30th IEEE Conference on Decision and Control.

[12] George C. Verghese,et al. Further notes on singular descriptions , 1981 .