This paper investigates the problem of Hโ model reduction for linear discrete-time singular systems. Without decomposing the original system matrices, necessary and su cient conditions for the solvability of this problem are obtained in terms of linear matrix inequalities (LMIs) and a coupling non-c
Balancing singular discrete-time systems
โ Scribed by R. Bru; C. Coll; N. Thome
- Publisher
- Elsevier Science
- Year
- 2000
- Tongue
- English
- Weight
- 560 KB
- Volume
- 13
- Category
- Article
- ISSN
- 0893-9659
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โฆ Synopsis
In
this work, we deal with normalizable-balanced singular systems, that is, singular systems where the obtained closed-loop system is balanced by an appropriate feedback.
In the invariant case, we use a proportional and derivative feedback to obtain systems without infinite poles. In addition, the existence and construction of state-feedbacks to obtain normalizable-balanced N-periodic singular systems is analyzed.
๐ SIMILAR VOLUMES
A new approach to robust control analysis and design for uncertain discrete-time singular systems is proposed. Under the allowable structured perturbations, the stability robustness, regularity preservation, and impulse elimination are simultaneously guaranteed by the proposed method.
The problem of closed-loop baIancing discrete LTI models is addressed. It is shown that results similar to those known for the continuous case can be extended to the discrete case. A new cross-Riccati equation is introduced which allows the direct balancing of MIMO symmetric discrete systems avoidin
The robust memoryless state feedback H โ control problem for uncertain time-delay discrete-time singular systems is discussed. Under a series of equivalent transformation, the equivalence of this problem and the robust state feedback H โ control problem for standard state-space uncertain time-delay