A robust output-feedback adaptive dynamic surface control for linear systems with input disturbance

• Published in: Journal of control theory and applications 2013-05, Vol.11 (2), p.261-267
• Main Authors: Song, Mingchao, Lin, Yan
• Format: Article
• Language: English
• Subjects: Adaptive systems; Complexity; Computational Intelligence; Control; Control and Systems Theory; Control surfaces; Design engineering; Differential scanning calorimetry; Disturbances; Dynamical systems; Dynamics; Engineering; Mechatronics; Optimization; Robotics; Systems Theory; Tracking errors; 一致最终有界; 复杂性问题; 线性时不变; 线性系统; 自适应控制; 设计过程; 输入干扰; 输出反馈
• ISSN: 1672-6340; 1993-0623
• DOI: 10.1007/s11768-013-1009-2

In this paper, a robust output-feedback adaptive control is proposed for linear time-invariant （LTI） single- input single-output （SISO） plants with unmeasurable input disturbance. Using dynamic surface control （DSC） technique, it is shown that the explosion of complexity problem in backstepping control can be eliminated. Furthermore, the proposed adaptive DSC scheme has the following merits： 1） by introducing an initialization technique, the L~ performance of system tracking error can be guaranteed even if the plant high-frequency gain is unknown and the input disturbance exists, and 2） the adaptive law is necessary only at the first design step, which significantly reduces the design procedure. It is proved that with the proposed scheme, all the closed-loop signals are semiglobally uniformly ultimately bounded. Simulation results are presented to demonstrate the effectiveness of the proposed scheme.