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Research Papers

# Input-Constrained Controller Design of Linear Time-Varying Systems Based on Piecewise State Estimation

[+] Author and Article Information
Feng Tan, Guangren Duan

Center for Control Theory and
Guidance Technology,
Harbin Institute of Technology,
Harbin 150001, China

Mingzhe Hou

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

Haihong Zhao

School of Mechatronics Engineering,
Harbin Institute of Technology,
Harbin 150001, China

1Corresponding author.

Contributed by the Dynamic Systems Division of ASME for publication in the JOURNAL OF DYNAMIC SYSTEMS, MEASUREMENT, AND CONTROL. Manuscript received September 29, 2016; final manuscript received July 20, 2017; published online September 8, 2017. Assoc. Editor: Ming Xin.

J. Dyn. Sys., Meas., Control 140(1), 011012 (Sep 08, 2017) (6 pages) Paper No: DS-16-1469; 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. An algorithm to design a controller based on approximations of state evolution is proposed. 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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## Figures

Fig. 1

State response of the system

Fig. 2

Control input of the system

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