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math.OC2024

On moment relaxations for linear state feedback controller synthesis with non-convex quadratic costs and constraints

Dennis Gramlich, Sheng Gao, Hao Zhang +2

We present a simple and effective way to account for non-convex costs and constraints~in~state feedback synthesis, and an interpretation for the variables in which state feedback s…

math.OC2023

Synthesis of constrained robust feedback policies and model predictive control

Dennis Gramlich, Carsten W. Scherer, Hannah Häring +1

In this work, we develop a method based on robust control techniques to synthesize robust time-varying state-feedback policies for finite, infinite, and receding horizon control pr…

math.OC2023

Robust Exponential Stability and Invariance Guarantees with General Dynamic O'Shea-Zames-Falb Multipliers

Carsten W. Scherer

We propose novel time-domain dynamic integral quadratic constraints with a terminal cost for exponentially weighted slope-restricted gradients of not necessarily convex functions.…

math.OC2023

A structure exploiting SDP solver for robust controller synthesis

Dennis Gramlich, Tobias Holicki, Carsten W. Scherer +1

In this paper, we revisit structure exploiting SDP solvers dedicated to the solution of Kalman-Yakubovic-Popov semi-definite programs (KYP-SDPs). These SDPs inherit their name from…

math.OC2022

Dissipativity, Convexity and Tight O'Shea-Zames-Falb Multipliers for Safety Guarantees

Carsten W. Scherer

We develop a novel convex parametrization of integral quadratic constraints with a terminal cost for subdifferentials of convex functions, involving general O'Shea-Zames-Falb multi…