Design and stability analysis of optimal controller and observer for Itô stochastic model of active vehicle suspension system

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Ramezani Moghadam Alireza; Kebriaei Hamed

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Journal: Journal of Control Year:2019 | Volume:13 | Issue:3 Page(s): 71-83

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Title

Design and stability analysis of optimal controller and observer for Itô stochastic model of active vehicle suspension system

Author(s)

Ramezani Moghadam Alireza | Kebriaei Hamed | Issue Writer Certificate

Keywords

Itôstochastic equationsQ1

multiplicative perturbationQ1

Active suspension systemQ2

stochastic stabilityQ2

ObserverQ1

Abstract

This paper investigates Itô-type stochastic linear quadratic controller design for uncertain model of vehicle suspension. The Itô stochastic model of quarter-car is constructed considering parametric stochastic perturbations in stiffness and damping characteristics of suspension. To tackle with uncertainties of model, a stochastic optimal control law is obtained applying stochastic Hamilton-Jacobi-Bellman equation. By means of Itô lemma and stochastic extension of Lyapunov method, stochastic stability of the closed-loop system is guaranteed. The stochastic optimal controller is designed for a general form of Itô uncertain model which is comprised multi-dimensional multiplicative perturbations and then it is implemented on perturbed model of vehicle suspension. Furthermore, it is shown that the separation principal does not hold for the system with state multiplicative noise; therefore, the synthesized Observer-based controller guarantees the stability of augmented dynamic consists of system and estimation error dynamics. A simulation study is performed to evaluate the effectiveness of stochastic optimal control approach in satisfying objectives of active suspension. To this end, time and frequency responses of ride comfort and road holding characteristics are demonstrated for two specific road cases including sinusoidal bump and ISO random profile.

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APA: Copy

Ramezani Moghadam, Alireza, & Kebriaei, Hamed. (2019). Design and stability analysis of optimal controller and observer for Itô stochastic model of active vehicle suspension system. JOURNAL OF CONTROL, 13(3 ), 71-83. SID. https://sid.ir/paper/120757/en

Vancouver: Copy

Ramezani Moghadam Alireza, Kebriaei Hamed. Design and stability analysis of optimal controller and observer for Itô stochastic model of active vehicle suspension system. JOURNAL OF CONTROL[Internet]. 2019;13(3 ):71-83. Available from: https://sid.ir/paper/120757/en

IEEE: Copy

Alireza Ramezani Moghadam, and Hamed Kebriaei, “Design and stability analysis of optimal controller and observer for Itô stochastic model of active vehicle suspension system,” JOURNAL OF CONTROL, vol. 13, no. 3 , pp. 71–83, 2019, [Online]. Available: https://sid.ir/paper/120757/en

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