Design of a Backstepping Tracking Controller for a Class of Linear Systems with Actuator Delay

Yonglong Liao and Fucheng Liao

Mathematical Problems in Engineering, 2015, vol. 2015, 1-10

Abstract:

This paper presents a method for designing a backstepping tracking controller for a class of continuous-time linear systems with actuator delay subject to a reference signal. The actuator delay can be modeled by a first-order hyperbolic PDE, and then a PDE-ODE coupled system is obtained. By applying the backstepping transformation to the coupled system, a feedback controller that includes the state of the system, the integral of the input control, and the integral of the tracking error is derived. We show that the closed-loop system is asymptotically stable at the equilibrium point and achieves complete regulation under the stabilizability assumption. The designs in this paper are illustrated with numerical simulations.

Date: 2015
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlmpe:160542

DOI: 10.1155/2015/160542

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