In this paper, a gain-scheduled controller design method is proposed for linear parameter varying (LPV) stochastic systems subject to performance constraint. Applying the stochastic differential equation, the stochastic behaviors of system are described via multiplicative noise terms. Employing the gain-scheduled design technique, the stabilization problem of LPV stochastic systems is discussed. Besides, the attenuation performance is employed to constrain the effect of external disturbance. Based on the Lyapunov function and Itô's formula, the sufficient conditions are derived to propose the stability criteria for LPV stochastic systems. The derived sufficient conditions are converted into linear matrix inequality (LMI) problems that can be solved by using convex optimization algorithm. Through solving these conditions, the gain-scheduled controller can be obtained to guarantee asymptotical stability and performance of LPV stochastic systems. Finally, numerical examples are provided to demonstrate the applications and effectiveness of the proposed controller design method.
Gain-Scheduled Control for Linear Parameter Varying Stochastic Systems
Contributed by the Dynamic Systems Division of ASME for publication in the JOURNAL OF DYNAMIC SYSTEMS, MEASUREMENT, AND CONTROL. Manuscript received November 24, 2014; final manuscript received July 9, 2015; published online August 20, 2015. Assoc. Editor: Ryozo Nagamune.
- Views Icon Views
- Share Icon Share
- Cite Icon Cite
- Search Site
Ku, C., and Wu, C. (August 20, 2015). "Gain-Scheduled Control for Linear Parameter Varying Stochastic Systems." ASME. J. Dyn. Sys., Meas., Control. November 2015; 137(11): 111012. https://doi.org/10.1115/1.4031059
Download citation file:
- Ris (Zotero)
- Reference Manager