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New robust bounded control for uncertain nonlinear system using mixed backstepping and lyapunov redesign

Kamarudin, M. N. and Md. Rozali, S. and Sutikno, T. and Husain, A. R. (2019) New robust bounded control for uncertain nonlinear system using mixed backstepping and lyapunov redesign. International Journal of Electrical and Computer Engineering (IJECE), 9 (2). ISSN 2088-8708

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Official URL: https://dx.doi.org/10.11591/ijece.v9i2.pp.1090-109...


This paper presents a new robust bounded control law to stabilize uncertain nonlinear system with time varying disturbance. The design idea comes from the advantages of backstepping with Lyapunov redesign, which avoid the needs of fast switching of discontinuous control law offered by its counterpart - a variable structure control. We reduce the conservatism in the design process where the control law can be flexibly chosen from Lyapunov function, hence avoiding the use of convex optimization via linear matrix inequality (LMI) in which the feasibility is rather hard to be obtained. For this work, we design two type control algorithms namely normal control and bounded control. As such, our contribution is the introduction of a new bounded control law that can avoid excessive control energy, high magnitude chattering in control signal and small oscillation in stabilized states. Computation of total energy for both control laws confirmed that the bounded control law can stabilize with less enegry consumption. We also use Euler's approximation to compute average power for both control laws. The robustness of the proposed controller is achieved via saturation-like function in Lyapunov redesign, and hence guaranting asymptotic stability of the closed-loop system.

Item Type:Article
Uncontrolled Keywords:backstepping, bounded control, lyapunov
Subjects:Q Science > QA Mathematics > QA75 Electronic computers. Computer science
ID Code:89920
Deposited By: Narimah Nawil
Deposited On:29 Mar 2021 08:50
Last Modified:29 Mar 2021 08:50

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