Interior-Conic Polytopic Systems Analysis and Control

TL;DR

This paper develops analysis and control synthesis methods for polytopic conic systems using linear matrix inequalities, extending LPV frameworks to encompass conic properties, and demonstrates the approach on a heat exchanger simulation.

Contribution

It introduces a novel analysis and control synthesis framework for polytopic conic systems based on LMIs, expanding existing LPV control techniques.

Findings

Conic bounds are established via LMIs for polytopic systems.

A control synthesis method for polytopic conic systems is proposed.

Simulation on a heat exchanger shows effectiveness compared to existing LPV methods.

Abstract

Linear parameter varying (LPV) analysis and controller synthesis theory rooted in the small gain and passivity framework currently exist. The study of conic systems encompasses both small gain and passivity properties, and herein, analysis and controller synthesis for polytopic conic systems is considered. Linear matrix inequality constraints are given to provide conic bounds for polytopic systems. In addition, given controller conic bounds, a control synthesis method is introduced. The polytopic conic controller is demonstrated on a heat exchanger in simulation, and compared to existing LPV control design techniques.