title: A new optimal sliding mode controller design using scalar sign function.
abstract: This paper presents a new optimal sliding mode controller using the scalar sign function method. A smooth, continuous-time scalar sign function is used to replace the discontinuous switching function in the design of a sliding mode controller. The proposed sliding mode controller is designed using an optimal Linear Quadratic Regulator (LQR) approach. The sliding surface of the system is designed using stable eigenvectors and the scalar sign function. Controller simulations are compared with another existing optimal sliding mode controller. To test the effectiveness of the proposed controller, the controller is implemented on an aluminum beam with piezoceramic sensor and actuator for vibration control. This paper includes the control design and stability analysis of the new optimal sliding mode controller, followed by simulation and experimental results. The simulation and experimental results show that the proposed approach is very effective.
authors.affiliation: Department of Electrical and Computer Engineering, University of Houston, Houston, TX 77204, United States. Electronic address: mithunsingla@gmail.com.
authors.forename: Mithun
authors.initials: M
authors.lastname: Singla
authors.affiliation: Department of Electrical and Computer Engineering, University of Houston, Houston, TX 77204, United States.
authors.forename: Leang-San
authors.initials: LS
authors.lastname: Shieh
authors.affiliation: Department of Mechanical Engineering, University of Houston, Houston, TX 77204, United States.
authors.forename: Gangbing
authors.initials: G
authors.lastname: Song
authors.affiliation: Key Laboratory of Advanced Process Control for Light Industry, Jiangnan University, Wuxi, Jiangsu 214122, China.
authors.forename: Linbo
authors.initials: L
authors.lastname: Xie
authors.affiliation: Department of Engineering Technology, Prairie View A & M University, Prairie View, TX 77446, United States.
authors.forename: Yongpeng
authors.initials: Y
authors.lastname: Zhang
keywords: Chattering; Optimal control; Scalar sign function; Sliding mode control