Bounded control of feedforward time‐delay systems with linearized systems consisting of chain of oscillators. (24th October 2018)

• Record Type: Journal Article
• Authors: Yang, Xuefei; Zhou, Bin; Lam, James
• Is Part Of: International journal of robust and nonlinear control. Volume 29:Number 1(2019)
• Page Start: 283
• Page End: 305
• Publication Date: 2018-10-24
• Subjects: bounded controls -- feedforward nonlinear systems -- global stabilization -- nonlinear feedback -- time‐delay systems; Automatic control -- Periodicals; Control theory -- Periodicals; Nonlinear systems -- Periodicals; 629.836
• DOI: 10.1002/rnc.4389
• Languages: English
• ISSNs: 1049-8923

Abstract

Summary: For the global stabilization of a family of feedforward nonlinear time‐delay systems whose linearized systems consist of a chain of identical oscillators, a saturated feedback control is established based on a special canonical form. The proposed control laws use not only the current states but also the delayed states for feedback, which helps maintain the decoupling property in the recursive design. Moreover, explicit conditions guaranteeing the stability of the closed‐loop system are provided. When the nonlinear terms vanish and even the oscillators are distinct, a modified saturated feedback control can still be established for the corresponding global stabilization problem. Two numerical examples are given to illustrate the effectiveness of the proposed approaches.