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research-article

Input-constrained controller design of linear time-varying systems based on piecewise state estimation

[+] Author and Article Information
Feng Tan

Center for Control Theory and Guidance Technology, Harbin Institute of Technology, Harbin 150001, China
feng_tttf@hit.edu.cn

Mingzhe Hou

Center for Control Theory and Guidance Technology, Harbin Institute of Technology, Harbin 150001, China
hithyt@hit.edu.cn

Haihong Zhao

School of Mechatronics Engineering, Harbin Institute of Technology, Harbin 150001, China
zhaohaihong@hit.edu.cn

Guang-Ren Duan

Center for Control Theory and Guidance Technology, Harbin Institute of Technology, Harbin 150001, China
g.r.duan@hit.edu.cn

1Corresponding author.

ASME doi:10.1115/1.4037389 History: Received September 29, 2016; Revised July 20, 2017

Abstract

Finite-time control problem of linear time-varying systems with input constraints is considered in this paper. Successive ellipsoidal approximations are used to estimate the state evolution of linear time-varying systems during a certain finite-time interval. Consequently the conclusions obtained are applied for controller design. According to the proposed algorithm, the speed of state approaching equilibrium is optimized piecewisely using admissible control. The controller gain can be obtained by solving several quasi-convex optimization problems, which makes the design process computationally tractable. Simulation results show that the proposed controller can quickly reduce state deviation without violating input constraints.

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