11 papers
On the Solvability of Quasi-Regulator Equations in Non-smooth Output Regulation
Zirui Niu, Daniele Astolfi, Giordano Scarciotti
Motivated by the prevalence of non-smooth, possibly non-periodic signals in real-world applications, the output regulation of linear systems subject to non-smooth non-periodic exog…
Approximate Simulation-based Hierarchical Control of Nonlinear Systems
Zirui Niu, Antoine Girard, Giordano Scarciotti
Controlling complex dynamical systems to satisfy sophisticated specifications remains a significant challenge in modern engineering. A promising approach to this problem is the app…
A polynomial approximation scheme for nonlinear model reduction by moment matching
Carlos Doebeli, Alessandro Astolfi, Dante Kalise +3
We propose a procedure for the numerical approximation of invariance equations arising in the moment matching technique associated with reduced-order modeling of high-dimensional d…
Interconnection-based Model Reduction for Linear Hybrid Systems
Zirui Niu, Giordano Scarciotti, Alessandro Astolfi
In this paper, we address the model reduction problem for linear hybrid systems via the interconnection-based technique called moment matching. We consider two classical interconne…
Bridging Abstraction-Based Hierarchical Control and Moment Matching: A Conceptual Unification
Zirui Niu, Mohammad Fahim Shakib, Giordano Scarciotti
In this paper, we establish a relation between approximate-simulation-based hierarchical control (ASHC) and moment matching techniques, and build a conceptual bridge between these…
One Equation to Rule Them All -- Part II: Direct Data-Driven Reduction and Regulation
Junyu Mao, Emyr Williams, Thulasi Mylvaganam +1
The Sylvester equation underpins a wide spectrum of control synthesis and systems analysis tools associated with cascade interconnections. In the preceding Part I [1] of this artic…