Invariant Set Design for Constrained Discrete-Time Linear Systems with Bounded Matched Disturbance

Invariant Approximations and Disturbance Attenuation for Constrained Linear Discrete-Time Systems

This paper presents a new method to the invariant approximations and disturbance attenuation for constrained Linear Discrete-Time Systems. A novel condition in the form of LMIs is derived to guarantee the asymptotically stable of the system, based on which an optimization problem is constructed to compute the approximation of an invariant set contained in the domain of attraction. This new meth...

Linear Time-Invariant Systems with Discrete Time

Invariant approximations of robustly positively invariant sets for constrained linear discrete-time systems subject to bounded disturbances

This paper provides results on invariant approximations of robustly positively invariant sets for a discrete-time, linear, time-invariant system subject to state constraints. Two important sets, the minimal and the maximal robustly positively invariant sets and their approximations are investigated. Novel procedures for the computation of invariant approximations to these sets are presented. It...

Control of Constrained Discrete-Time Systems With Bounded 2 Gain

We consider the problem of designing a control law for a constrained linear system with bounded disturbances that ensures constraint satisfaction over an infinite horizon, while also guaranteeing that the closed-loop system has bounded gain. To this end, we propose a receding horizon control strategy based on the repeated calculation of optimal finite horizon feedback policies. We parameterize ...

A Robust Control Design Technique for Discrete-Time Systems

A robust state feedback design subject to placement of the closed loop eigenvalues in a prescribed region of unit circle is presented. Quantitative measures of robustness and disturbance rejection are investigated. A stochastic optimization algorithm is used to effect trade-off between the free design parameters and to accomplish all the design criteria. A numerical example is given to illustra...