6 papers
Characterization and Computation of Feedback Nash Equilibria in Scalar Discounted N-Player Linear Quadratic Games
Chiara Cavalagli, Alberto Bemporad, Mario Zanon
This paper studies feedback Nash equilibria (FNE) in scalar discounted linear quadratic (LQ) games with players. By explicitly incorporating the discount factor, we show that f…
On Piecewise Quadratic Terminal Costs for MPC
Sampath Kumar Mulagaleti, Boris Houska, Mario Zanon +1
This paper presents a novel approach to synthesize stabilizing termi- nal ingredients for linear model predictive control (MPC) schemes, with the aim of increasing the region of at…
Rethinking Strict Dissipativity for Economic MPC
Mario Zanon
Stability of economic model predictive control can be proven under the assumption that a strict dissipativity condition holds. This assumption has a clear interpretation in terms o…
Economic Linear Quadratic MPC With Non-Unique Optimal Solutions
Mario Zanon
Asymptotic stability in economic receding horizon control can be obtained under a strict dissipativity assumption, related to positive-definiteness of a so-called rotated cost, and…
Stabilization of strictly pre-dissipative nonlinear receding horizon control by terminal costs
Lars Grüne, Mario Zanon
It is known that receding horizon control with a strictly pre-dissipative optimal control problem yields a practically asymptotically stable closed loop when suitable state constra…
Stabilization of Strictly Pre-Dissipative Receding Horizon Linear Quadratic Control by Terminal Costs
Mario Zanon, Lars Grüne
Asymptotic stability in receding horizon control is obtained under a strict pre-dissipativity assumption, in the presence of suitable state constraints. In this paper we analyze ho…