Title :
A semistabilizability/semidetectability approach to semistable H2 and H∞ control problems
Author :
Hui, Qing ; Liu, Zhenyi
Author_Institution :
Dept. of Mech. Eng., Texas Tech Univ., Lubbock, TX, USA
Abstract :
A new semistable H2 and H∞ control framework is developed to address the robust optimal control issues of linear semistable control systems subject to white noise. To do this, a new notion of semistabilizability/semidetectability is proposed as a means to connecting semistability with the Lyapunov equation based technique. With this new notion, we develop a semistable H2 and H∞ control theory by exploiting the properties of semistability. Necessary and sufficient conditions for semistability of the closed-loop system have been derived in terms of the Lyapunov equation and semidetectability. Based on these results, we propose a convex optimization technique to solve the semistable H2 and H∞ control design.
Keywords :
H∞ control; H2 control; Lyapunov matrix equations; closed loop systems; control system synthesis; convex programming; linear systems; multi-agent systems; multi-robot systems; robust control; white noise; H∞ control problem design; H2 control problem design; Lyapunov equation based technique; closed-loop system; convex optimization technique; linear semistable control systems; robust optimal control; semistabilizability-semidetectability approach; white noise; Control design; Convex functions; Eigenvalues and eigenfunctions; Equations; Optimal control; Protocols; Uncertainty;
Conference_Titel :
Communication, Control, and Computing (Allerton), 2011 49th Annual Allerton Conference on
Conference_Location :
Monticello, IL
Print_ISBN :
978-1-4577-1817-5
DOI :
10.1109/Allerton.2011.6120217
