Automatica· 2026Q1
Incremental peak-to-peak gain computation and regulation of discrete-time positive Luré systems using linear programming
- 0citations
- Q1SCImago
- 2026year
Short summary
Upper-bounds on incremental peak-to-peak gains for positive Luré systems with static nonlinearities can be computed via linear programming, and these gains can be regulated using a state-feedback controller.
AI-generated from the title and abstract; the full text is not read.
Key points
- Incremental peak-to-peak gains quantify robustness of system trajectories.
- Linear programming is used to compute upper-bounds on these gains for positive Luré systems.
- A state-feedback controller can be designed to regulate the incremental $\ell_\infty$ gain.
- Numerical examples verify the computation and regulation methods.
AI-generated from the title and abstract; the full text is not read.
Abstract
Incremental gains provide a quantitative measure of robustness for trajectories of a dynamical system Finite incremental gains ensure that all pairs of trajectories will together converge to a fixed point or will diverge together in the absence of an applied input. This work approaches the problem of computing the incremental peak-to-peak gains for positive linear systems in Luré feedback with static memoryless nonlinearities, and regulating the incremental ℓ ∞ gain through the design of a state-feedback controller. Upper-bounds on these incremental gains can be computed through linear programming. Computation and state-feedback regulation of the ℓ ∞ incremental gain is verified by numerical examples.
The authors' abstract, as published at the source. Automatica, 2026 · DOI ↗
Continue with a free account
Ask the paper: 3 free questions a day about this paper; save it, get its citation, new summaries every day for your field. Takeaways are Premium.
Continue free on the webSign in with Google or Apple; no card needed. You come back to this paper.
On your phone:
Field: Control and Systems Engineering
Control and Systems EngineeringEngineering