102,246 research outputs found
Some results on output algebraic feedback with applications to mechanical systems
No full textConstructive necessary and sufficient conditions for disturbance decoupling with algebraic output feedback are presented. Necessary and sufficient conditions are also derived for the decoupling problem with internal stability. The same conditions are re-stated in terms of invariant zeros. The groundwork throughout is the dual-lattice structures of invariants introduced by Basile and Marro (1992). Finally, an application to mechanical systems is presented
A feedforward compensation scheme for perfect decoupling of measurable input functions
No full textsummary:In this paper the exact decoupling problem of signals that are accessible for measurement is investigated. Exploiting the tools and the procedures of the geometric approach, the structure of a feedforward compensator is derived that, cascaded to a linear dynamical system and taking the measurable signal as input, provides the control law that solves the decoupling problem and ensures the internal stability of the overall system
A reply to G. Palumbi and C. Chataigner
No full textMarro Catherine, Bakhshaliyev Veli, Berthon Rémi. A reply to G. Palumbi and C. Chataigner. In: Paléorient, 2015, vol. 41, n°2. pp. 157-162
Antonio G. Sagona (coll. Claudia Sagona) The Asvan sites 3. Keban rescue excavations, eastern Anatolia. The early Bronze Age (Monograph No. 18)
No full textMarro Catherine. Antonio G. Sagona (coll. Claudia Sagona) The Asvan sites 3. Keban rescue excavations, eastern Anatolia. The early Bronze Age (Monograph No. 18). In: Syria. Tome 75, 1998. pp. 310-313
The algebraic output feedback in the light of dual-lattice structures
No full textsummary:The purpose of this paper is to derive constructive necessary and sufficient conditions for the problem of disturbance decoupling with algebraic output feedback. Necessary and sufficient conditions have also been derived for the same problem with internal stability. The same conditions have also been expressed by the use of invariant zeros. The main tool used is the dual- lattice structures introduced by Basile and Marro [R4]
A Unified Setting for Decoupling with Preview and Fixed-Lag Smoothing in the Geometric Context
No full textExact decoupling with preview, perfect tracking of previewed references, unknown-input state observation with fixed lag, and left inversion with fixed lag are considered from a unifying perspective where exact decoupling with preview is the basic problem. Necessary and sufficient constructive conditions for decoupling with finite preview are proved in the geometric framework. Structural and stabilizability conditions are considered separately and the use of self-bounded controlled invariant subspaces allows the dynamic compensator with the minimal unassignable dynamics to be straightforwardly derived. A steering along zeros technique is devised to guarantee decoupling with stability also in the presence of unstable unassignable dynamics of the minimal self-bounded controlled invariant
New formulae and graphics for compensator design
No full textIn this paper, two simple 'inversion formulae' for analytic design of lead and lag compensators are proposed, and a graphical interpretation for them is given. Their use in connection with both Bode and Nyquist diagrams is pointed out with some numerical examples
A new approach to the cheap LQ regulator exploiting the geometric properties of the Hamiltonian system
No full textThe cheap LQ regulator is reinterpreted as an output nulling problem which is a basic problem of the geometric control theory. In fact, solving the LQ regulator problem is equivalent to keep the output of the related Hamiltonian system identically zero. The solution lies on a controlled invariant subspace whose dimension is characterized in terms of the minimal conditioned invariant of the original system, and the optimal feedback gain is computed as the friend matrix of the resolving subspace. This study yields a new computational framework for the cheap LQ regulator, relying only on the very basic and simple tools of the geometric approach, namely the algorithms for controlled and conditioned invariant subspaces and invariant zeros
A Straightforward Approach to the Cheap LQ Problem for Continuous-Time Systems in Geometric Terms
No full textThis paper addresses the cheap version of the classical linear quadratic (LQ) optimal control problem for continuous-time systems. The approach herein considered differs from those presented in literature, since it consists of applying the tools of the geometric control theory to the Hamiltonian system. In this way, it is possible to compute the stabilizing state-feedback gain achieving optimality by using standard geometric algorithms, whenever the initial state satisfies a suitable necessary and sufficient condition for solvability, also stated in geometric terms
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