Optimal control of systems with time delays among disturbances, such as vehicle suspensions, is a relatively simple but long-standing problem in time-delayed control. The exact H2 optimal control of systems with time-delayed disturbances is considered and a computationally efficient approach is developed for controller synthesis. The Lyapunov-based H2 norm computation is extended to systems with time-delayed disturbances and then a concise formula is deriveed to explicitly evaluate the sensitivity of the system H2 norm with respect to controller gains. Thence, a set of necessary conditions for H2 optimal control of such systems using static output feedback are obtained in the form of algebraic equations. Gradient-based methods are adapted to optimize the controller gains. The method is also extended to reduced-order and decentralized control. As an application, a passive suspension system for an eight DOF (Degree OF Freedom) four-wheel vehicle is designed via structured H2 optimization. The results are compared with those of a design based on a Pade expansion for the time delays and a design obtained by neglecting the disturbance delays.
H2 optimal control of disturbance-delayed systems with application to vehicle suspensions
H <sub>2</sub>-optimale Regelung von störungsbehafteten Totzeitsystemen und deren Anwendung auf Radaufhängungen
Vehicle System Dynamics ; 45 , 3 ; 233-247
2007
15 Seiten, 26 Quellen
Article (Journal)
English
H2 optimal control of disturbance-delayed systems with application to vehicle suspensions
Automotive engineering | 2007
|H2 optimal control of disturbance-delayed systems with application to vehicle suspensions
Online Contents | 2007
|H 2 optimal control of disturbance-delayed systems with application to vehicle suspensions
Taylor & Francis Verlag | 2007
|Optimal control of vehicle suspensions
TIBKAT | 1994
|Parameter-dependent input-delayed control of uncertain vehicle suspensions
Online Contents | 2008
|