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arXiv · 2209.12990

Control of Uncertain PWA Systems using Difference-of-Convex Decompositions

Siddharth H. Nair·Yvonne R. Stürz
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Abstract

In this report, we analyze and design feedback policies for discrete-time Piecewise-Affine (PWA) systems with uncertainty in both the affine dynamics and the polytopic partition. The main idea is to utilise the Difference-of-Convex (DC) decomposition of continuous PWA systems to derive quadratic Lyapunov functions as stability certificates and stabilizing affine policies in a higher dimensional space. When projected back to the state space, we obtain time-varying PWQ Lyapunov functions and time-varying PWA feedback policies.

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Siddharth H. Nair, Yvonne R. Stürz. 2022-09-26. Control of Uncertain PWA Systems using Difference-of-Convex Decompositions. https://arxiv.org/abs/2209.12990

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