Paper Info
Title
Gain Scheduled Control of Linear Systems Subject to Actuator Saturation With Application to Spacecraft Rendezvous
Abstract
This brief is concerned with gain scheduled approaches to the stabilization of linear systems with actuator saturation. For linear systems that are polynomially unstable, using the parametric Lyapunov equation-based and Riccati equation-based design, we propose gain scheduling approaches to increase the design parameter online so as to increase the convergence rates of the closed-loop systems. To apply the proposed gain scheduling approaches, only a scalar differential equation whose right-hand side is a function of the state vector is required to be integrated online. The closed-loop system is proven to be exponentially stable provided some parameters in the scheduling law are properly chosen. The established gain scheduling approaches are also extended to exponentially unstable linear systems with actuator saturation. As applications of the proposed dynamic gain scheduling approaches, the controller design of spacecraft rendezvous systems is revisited. Numerical simulation with the nonlinear model of a spacecraft rendezvous system shows the effectiveness of the proposed gain scheduling approaches.
Year
DOI
Venue
2014
10.1109/TCST.2013.2296044
IEEE Trans. Contr. Sys. Techn.
Keywords
Field
DocType
Closed loop systems,Space vehicles,Linear systems,Convergence,Eigenvalues and eigenfunctions,Dynamic scheduling
Lyapunov equation,Mathematical optimization,State vector,Linear system,Gain scheduling,Scheduling (computing),Control theory,Control engineering,Exponential stability,Riccati equation,Rendezvous,Mathematics
Journal
Volume
Issue
ISSN
22
5
1063-6536
Citations 
PageRank 
References 
3
0.39
12
Authors
4
Name
Order
Citations
PageRank
Bin Zhou1115082.46
Qian Wang230.39
Zongli Lin33047270.03
Guang-Ren Duan41735177.31