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Invariant zeros in singular systems - Algebraic criterions of nondegeneracy

Tokarzewski J.

Systems Science

2003

Vol. 29, nr 1

61-78

The question of how the classical concept of the Smith zeros of a LTI continuous-time singular control system S(E,A,B,C,D) can be generalized and related to state-space methods is discussed. The zeros are defined as those complex numbers for which there exists a zero direction with nonzero state-zero direction. Such a definition admits an infinite number of zeros (then the system is called degenerate). Algebraic criterions of degeneracy/nondegeneracy based on Weierstrass-Kronecker canonical form of the system and on the first nonzero Markov parameter are analyzed.

Controlled balanced growth of positive linear discrete-time systems

Rumchev V.G., James D.J.G.

Systems Science

2003

Vol. 29, nr 1

5-14

In this paper properties of M-matrices are used to develop procedures to ensure that a positive discrete-time linear system achieves a specified desired balanced growth rate. Both closed-loop and open-loop control procedures are considered, with state feedback being adopted for implementing the closed-loop control. Procedures developed are illustrated by simple examples.

A control design for linear time-delay systems

Tingey D., Busawon K., Danaher S., Waterworth G.

Systems Science

2003

Vol. 29, nr 4

5-17

In this paper, we propose a control design for single-input linear systems with a known delay in the state. A systematic construction of the controller gain is given such that the system is asymptotically stable in the sense of Krasovskii. An academic example is used to show the performance of the controller via simulation.

Generic two-degree of freedom control systems for linear and nonlinear processes

Keviczky L., Banyasz C.

Systems Science

2000

Vol. 26, nr 4

5-24

The paper discusses a generic two-degree of freedom controller scheme for linear plants and then extends the results to block-oriented factorable nonlinear processes. This generalization is quite straightforward for both IS and IU Hammerstein models, however, it can be performed only for IS Wiener models. An iterative controller refinement scheme is also presented.

Feedback holdability of singular discrete-time linear systems

Kaczorek T.

Systems Science

2000

Vol. 26, nr 4

25-37

The feedback holdability problem for singular discrete-time linear systems is considered. Conditions are established for the existence of solutions to the following three problems for singular system (1) with regular pencil (E, A). Problem 1: find a gain matrix K such that the closed-loop trajectory is inside the nonnegative orthant R+n. Problem 2: find a gain matrix K such that the state vector xi of the closed-loop system xi = 0 for i greater than or equal k - 1, k = 1,...,n. Problem 3: find a gain matrix K such that ui = Kxi ∈ R+m and the trajectory of closed-loop system is inside R+n