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The concept of set-invariance is applied to the design of full-order state observers with limitation of the estimation error, for discrete-time linear systems subject to unknown-but-bounded persistent disturbances and measurement noise. It is shown that if the initial error belongs to a polyhedral D(C,A)-invariant set, then it can be kept in this set by(More)
The concept of set-invariance is applied to the design of full-order state observers with limitation of the estimation error, for discrete-time linear systems subject to unknown but bounded persistent disturbances and measurement noise. It is shown that if the initial error belongs to a D-(C, A)-invariant set, then it can be kept in this set by means of a(More)
This paper addresses the problem of constructing controlled invariant polyhedral sets for linear discrete-time descriptor systems subject to state and control constraints and persistent disturbances. Regardless the large number of contributions on set invariance for linear systems in the standard form, there are few works dealing with set invariance(More)
Control techniques for systems with constraints on control and state are somewhat attractive, mainly in cases where these constraints represent safety or critical points of operation. An important approach for control of constrained linear systems is based on the concept of set invariance, whose main advantages are the inclusion of constraints in the whole(More)
Nonlinear Predictive Control has been subject of many researches in recent decades. Bilinear models have been an alternative to represent process nonlinearities because they are simpler than the nonlinear models in general and satisfactorily represent many types of nonlinearities. This paper presents a state variables approach of bilinear predictive(More)
This paper presents a new algorithm for bilinear predictive control based on state variables. This algorithm uses a time-step quasilinear model and adds compensations terms to the predictor model, which are different for each prediction horizon. A simulated example shows an improvement in the control performance by using this method, when it is compared(More)