Technical Brief

Robust Reliability Based Optimal Design of H Control of Parametric Uncertain Systems

[+] Author and Article Information
Shu-Xiang Guo

Faculty of Mechanics,
College of Science,
Air Force Engineering University,
Xi'an 710051, China
e-mail: guoshuxiang66@163.com

Contributed by the Dynamic Systems Division of ASME for publication in the JOURNAL OF DYNAMIC SYSTEMS, MEASUREMENT, AND CONTROL. Manuscript received April 14, 2013; final manuscript received October 23, 2013; published online December 9, 2013. Assoc. Editor: Fu-Cheng Wang.

J. Dyn. Sys., Meas., Control 136(2), 024504 (Dec 09, 2013) (7 pages) Paper No: DS-13-1159; doi: 10.1115/1.4025862 History: Received April 14, 2013; Revised October 23, 2013

An efficient nonprobabilistic robust reliability method for H robust controller design of parametric uncertain systems is presented by describing the uncertain parameters as interval variables. Design optimization of H robust controller is carried out by solving a robust reliability based optimization problem, by which the disturbance attenuation, control cost, and robust reliability can be taken into account simultaneously. By the method, a robust reliability measure of an uncertain control system satisfying required H robust performance can be obtained, and the robustness bounds of uncertain parameters such that the control cost of the system is guaranteed can be provided. The presented formulations are in the framework of linear matrix inequality and thus can be carried out conveniently. The presented method provides an essential basis for reasonable tradeoff between reliability and control cost in controller design of uncertain systems. Active control design of vehicle suspension is employed for illustrating the effectiveness and feasibility of the presented method.

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Grahic Jump Location
Fig. 1

Quarter-car model with active suspension

Grahic Jump Location
Fig. 2

Bump responses and the corresponding input control forces of the uncertain system with uncertain parameters generated randomly

Grahic Jump Location
Fig. 3

Relation between robust reliability and disturbance attenuation lever



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