An improved treatment of saturation nonlinearity with its application to control of systems subject to nested saturation

• Published in: Automatica (Oxford) Vol. 47; no. 2; pp. 306 - 315
• Main Authors: Zhou, Bin, Zheng, Wei Xing, Duan, Guang-Ren
• Format: Journal Article
• Language: English
• Published: Kidlington Elsevier Ltd 01.02.2011; Elsevier
• Subjects: Applied sciences; Complement; Computer science; control theory; systems; Control system analysis; Control system synthesis; Control systems; Control theory. Systems; Design engineering; Exact sciences and technology; Linear systems; Local stability and stabilization; Mathematical analysis; Mathematical models; Nested saturation; Nonlinear systems; Nonlinearity; Saturation; Saturation nonlinearity; Local stability and stabilization; Nonlinear systems; Nested saturation; Saturation nonlinearity; Stabilization; Saturation; Non linear control; Differential inclusion; Differential method; Non linear system; Local effect
• ISSN: 0005-1098; 1873-2836
• DOI: 10.1016/j.automatica.2010.10.001

This paper is concerned with the treatment of saturation nonlinearity existing commonly in practical control systems. An improved treatment of such nonlinearity is proposed, which includes the well-known linear differential inclusion method for handling saturation nonlinearity as a special case. To show the effectiveness of this new treatment, the problem of analysis and design of linear systems subject to nested saturation function is revisited. The proposed results not only complement the existing work on this problem, but also are less conservative than the existing methods. Four numerical examples are worked out to illustrate the applicability of the established approaches.