Hybrid Control Technique for Switched LPV Systems and Its Application to Active Magnetic Bearing System

TL;DR

This paper introduces a hybrid control method for switched LPV systems that improves stability and performance, demonstrated through an active magnetic bearing system example.

Contribution

It presents a novel hybrid control framework with a controller state-reset mechanism, reformulating the synthesis as a convex LMI problem for efficient controller design.

Findings

Effective control of AMB systems with strong rotor dynamics dependence.

Reduced chattering and improved stability through hysteresis switching.

Convex optimization enables efficient controller and reset matrix computation.

Abstract

This paper proposes a novel hybrid control framework for switched linear parameter-varying (LPV) systems under hysteresis switching logic. By introducing a controller state-reset mechanism, the hybrid LPV synthesis problem is reformulated as a convex optimization problem expressed in terms of linear matrix inequalities (LMIs), enabling efficient computation of both switching LPV controller gains and reset matrices. The proposed approach is then applied to active magnetic bearing (AMB) systems, whose rotor dynamics exhibit strong dependence on rotational speed. Conventional LPV designs are often conservative due to large speed variations. The proposed hybrid gain-scheduled controller explicitly accounts for bounds on parameter variation rates, employs multiple LPV controllers over distinct operating regions, and uses hysteresis switching to reduce chattering and ensure stability. The effectiveness of the approach is demonstrated through a detailed AMB control design example.