Tracking control for uncertain bilinear control system using backstepping method.

Autor: Mu'tamar, Khozin, Naiborhu, Janson, Saragih, Roberd, Handayani, Dewi
Předmět:
Zdroj: AIP Conference Proceedings; 2024, Vol. 2867 Issue 1, p1-13, 13p
Abstrakt: Modelling is the transformation of natural phenomena into mathematical equations. The best choice is a nonlinear system because it can accommodate various complexities of problems. However, the nonlinear system is challenging to analyze, so the linear system often approximates it around the equilibrium point. In the modelling process, the physical parameter values are requisite. Some model parameters are unknown for specific values due to limitations of measuring tools, data complexity, parameter estimation errors, and modelling assumptions. In this article, a control design for a bilinear control system with uncertain parameters is presented. The bilinear system is a class of nonlinear systems that can be used as an approximation of nonlinear systems and has better performance and approximation than linear systems. Uncertain parameters are assumed to affect only the state variables containing the control function. Also, the bilinear control system is exactly linearizable to the normal form using feedback linearization. The control design is done using backstepping. Each state variable is stabilized using a virtual control and generates a new state variable. The original control function is used to stabilize the whole system in the last step. Since the last state variable contains uncertain parameters, estimation of the uncertain parameter is carried out by guaranteeing the Lyapunov stability. Simulations were carried out for regulator and tracking problems with constant and random uncertain parameters. The simulation results show the control function can stabilize the system output to the origin and desired trajectories. [ABSTRACT FROM AUTHOR]
Databáze: Complementary Index