Adaptive tracking control of stochastic nonlinear systems with unknown time-varying powers. (June 2021)

• Record Type: Journal Article
• Authors: Li, Huijuan; Li, Wuquan; Gu, Jianzhong
• Is Part Of: Transactions of the Institute of Measurement and Control. Volume 43:Number 9(2021)
• Page Start: 1880
• Page End: 1890
• Publication Date: 2021-06
• Subjects: High-order stochastic nonlinear systems -- adaptive output tracking control -- unknown time-varying powers; Automatic control -- Periodicals; Measuring instruments -- Periodicals; Commande automatique -- Périodiques; Mesure -- Instruments -- Périodiques; 681.2
• DOI: 10.1177/0142331220982231
• Languages: English
• ISSNs: 0142-3312

Abstract

This paper investigates the adaptive output tracking problem for a class of high-order stochastic nonlinear systems with unknown time-varying powers and nonlinear parameterized uncertainties. By using the parameter separation technique and adding a power integrator design method, an adaptive controller with upper and lower bounds of the unknown time-varying power is successfully designed to guarantee that all the states of the closed-loop system are bounded in probability and the output tracking error can be regulated into a small neighborhood of the origin in probability. Finally, a simulation example is provided to illustrate the effectiveness of the designed controllers.