论文信息 - Stabilization and disturbance attenuation of uncertain discrete-time linear systems

Stabilization and disturbance attenuation of uncertain discrete-time linear systems

Discrete-time systems in state space subject to uncertainties in the state and input matrices as well as to finite-energy additive disturbances are considered. No statistical assumptions nor matching conditions are required. Necessary and sufficient conditions for quadratic stability by linear state feedback and output-disturbance attenuation below a prescribed value are derived independently of the uncertainty structure. These conditions are then applied to the case of convex polyhedral uncertainly and the robust synthesis problem is cast into a mathematical programming problem. Additional constraints like robust pole assignment in subregions of the complex plane can easily be fit into the design procedure. Numerical examples are provided.

P. Caravani

[1] P. Caravani. On H∞ criteria for macroeconomic policy evaluation , 1995 .

[2] Lihua Xie,et al. On the Discrete-time Bounded Real Lemma with application in the characterization of static state feedback H ∞ controllers , 1992 .

[3] Lihua Xie,et al. H∞ analysis and synthesis of discrete-time systems with time-varying uncertainty , 1993, IEEE Trans. Autom. Control..

[4] Sérgio Ricardo de Souza,et al. BHoo Control of Discrete-Time Uncertain Systems , 1994 .

[5] Lihua Xie,et al. Robust control of a class of uncertain nonlinear systems , 1992 .

[6] P. Khargonekar,et al. Robust stabilization of uncertain linear systems: quadratic stabilizability and H/sup infinity / control theory , 1990 .

[7] M. Marcus,et al. A Survey of Matrix Theory and Matrix Inequalities , 1965 .

[8] Juing-Huei Su,et al. New robust stability bounds of linear discrete-time systems with time-varying uncertainties , 1993 .

[9] Denis Arzelier,et al. Robust stabilization of discrete-time linear systems with norm-bounded time-varying uncertainty , 1994 .

[10] Youyi Wang,et al. Robust control of discrete time uncertain dynamical systems , 1993, Autom..

[11] Stephen P. Boyd,et al. Linear Matrix Inequalities in Systems and Control Theory , 1994 .

[12] Gene H. Golub,et al. Matrix computations , 1983 .