Simultaneous internal and external stabilization in the presence of a class of non-input-additive sustained disturbances: discrete time
Chapter
First Online:
Abstract
For discrete-time general critically unstable linear systems subject to actuator saturation, this chapter is a counterpart of Chap. 15 which pertains to continuous-time systems. That is, our goal here for discrete-time systems is to identify a set of non-input-additive sustained disturbances for which a feedback control law can be determined such that: 1.In the absence of disturbances, the origin of the closed-loop system is globally asymptotically stable. 2.If the disturbances belong to the given set, the states of the closed-loop system are bounded for any arbitrarily specified initial conditions.
References
- 48.P. Hou, A. Saberi, Z. Lin, and P. Sannuti, “Simultaneously external and internal stabilization for continuous and discrete-time critically unstable systems with saturating actuators”, Automatica, 34(12), 1998, pp. 1547–1557.MATHCrossRefGoogle Scholar
- 193.________, “Control of linear systems with input saturation and disturbances – discrete-time systems”, Submitted for publication, 2011.Google Scholar
- 216.B. Zhou, Z. Lin, and G.R. Duan, “A parametric Lyapunov equation approach to low gain feedback design for discrete time systems”, Automatica, 45(1), 2009, pp. 238–244.MathSciNetMATHCrossRefGoogle Scholar
Copyright information
© Springer Science+Business Media New York 2012