Journal Article

Optimal time-varying P-controller for a class of uncertain nonlinear systems

Gueaieb, Wail, Suruz Miah, M.

2014

Overview

In this manuscript, an optimal time-varying P-controller is presented for a class of continuous-time underactuated nonlinear systems in the presence of process noise associated with systems’ inputs. This is a state feedback control strategy where the optimization is performed on a time-varying feedback operator (herein called the feedback control gain). The main goal of the current manuscript is to provide a framework for multi-input multi-output nonlinear systems which yields a satisfactory tracking performance based on the optimal time-varying feedback control gain. Unlike other feedback control techniques that perform dynamic linearization of system models, the proposed time-varying Pcontroller provides the full-state feedback control to the original nonlinear system model. Hence, this P-controller guarantees global asymptotic state-tracking. Furthermore, the bounded system’s process noise is taken into consideration to measure the controller’s robustness. The proposed P-controller is tested for its nonlinear trajectory tracking and fixed-point stabilization capabilities with two nonholonomic systems in the presence of input noise.

• Publisher: Institute of Control, Robotics and Systems and The Korean Institute of Electrical Engineers,Springer Nature B.V,제어·로봇·시스템학회
• Subject: Control / Control systems / Control Theory / Controllers / Dynamical systems / Engineering / Euclidean space / Feedback control / Feedback control systems / Gain / Lagrange multiplier / Mechatronics / Noise / Nonlinear dynamics / Nonlinear systems / Optimization / Robotics / Robust control / State feedback / Studies / Tracking / 제어계측공학