Doubly coprime factorization revisited
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Summary
A state-space formula is derived for all proper linear time-invariant (LTI) doubly coprime factorizations of a given LTI plant and a new derivation of the state- space formula for parameterization of all proper LTI stabilizing controllers is presented.
- Type
- article
- Published
- 2001-03-01
- Cited by
- 11
- References
- 9
- OpenAlex
- https://openalex.org/W2144901563
- Semantic Scholar
- https://api.semanticscholar.org/CorpusID:10066399
Keywords
Coprime integers, LTI system theory, Factorization, Control theory (sociology), Mathematics
References
- Optimization of linear control systems : analytical methods and computational algorithms
- Control System Synthesis : A Factorization Approach
- Robust and optimal control
- Doubly coprime factorizations, reduced-order observers, and dynamic state estimate feedback
- A connection between state-space and doubly coprime fractional representations
- All stabilizing controllers as frequency-shaped state estimate feedback
- State space formulas for coprime factorizations
Cited by
- Technical communique: All doubly coprime factorizations of a general rational matrix
- A Novel Description of Linear Time--Invariant Networks via Structured Coprime Factorizations
- Stabilizability and Norm-Optimal Control Design subject to Sparsity Constraints
- Parametrization of Ω-stabilizing controllers and closed-loop transfer matrices of a singular system
- Decentralized control with structural and information flow constraints
- Structured coprime factorizations description of Linear and Time-Invariant networks
- State-space formulas for the classes of Ω-stabilizing controllers and closed-loop transfer matrices of a singular system
- Youla-Like Parametrizations Subject to QI Subspace Constraints
- On the stabilization of LTI decentralized configurations under quadratically invariant sparsity constraints
- Sparse Representations of Dynamical Networks: A Coprime Factorization Approach
- Decentralized Control with Structural and Information Flow Constraints
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