A novel design approach for switched LPV controllers

• Published in: International journal of control Vol. 83; no. 8; pp. 1710 - 1717
• Main Authors: Bianchi, Fernando D., Sánchez-Peña, Ricardo S.
• Format: Journal Article
• Language: English
• Published: Abingdon Taylor & Francis Group 01.08.2010; Taylor & Francis; Taylor & Francis Ltd
• Subjects: active magnetic bearing systems; Applied sciences; Bearings, bushings, rolling bearings; Computer science; control theory; systems; Control system synthesis; Control theory. Systems; Controllers; Design; Drives; Exact sciences and technology; linear matrix inequalities; linear parameter-varying systems; Mechanical engineering. Machine design; switched linear parameter-varying systems; Youla parametrisation; Multimodel control; Active system; Magnetic bearing; Global stabilization; Control synthesis; Linear parameter varying system; Specification; Youla parametrization
• ISSN: 0020-7179; 1366-5820
• DOI: 10.1080/00207179.2010.490599

A novel design procedure for switched linear parameter-varying (LPV) controller is proposed. The new procedure, based on the Youla parameterisation ideas, decomposes the controller design into two steps. One focuses on ensuring global stability and the other on fulfilling the local performance specifications. This scheme allows the design of each local controller independently of each other, which may achieve higher performance without compromising the global stability and also simplifies the synthesis and the implementation of the local controllers. Any standard LPV synthesis procedure can be used to design these controllers. On the other hand, the stability during switching is ensured with convex constraints and no restrictions are imposed on the switching among controllers. The use of the proposed procedure is illustrated with an active magnetic bearing example.