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In this paper, a method for computing reachable sets of uncertain nonlinear continuous-time systems is proposed. The approach, based on Linear Parameter-Varying (LPV) inclusions of nonlinear systems, relies on a time-varying change of coordinates which ensures some monotony properties in the new base. A sufficient condition ensuring the non divergence of the enclosures is given. The efficiency of...
The problem of interval state observer design is addressed for time-invariant discrete-time systems. Two solutions are proposed: the first one is based on a similarity transformation synthesis, which connects a constant matrix with its nonnegative representation ensuring the observation error positivity. The second contribution shows that in the discrete-time case the estimation error dynamics always...
In this paper an interval observer for Linear-Parameter-Varying (LPV) Systems is proposed. Usually, the design of such observers is based on monotone systems theory and the observation error should have a cooperative dynamics. In many cases, such a property is hard to satisfy. In this paper, a time-varying change of coordinates is used to overcome this limitation. Two sufficient conditions, according...
The problem of output stabilization of a class of nonlinear systems subject to parametric and signal uncertainties is studied. First, an interval observer is designed estimating the set of admissible values for the state. Next, it is proposed to design a control algorithm for the interval observer providing convergence of interval variables to zero, that implies a similar convergence of the state...
This work is devoted to interval observer design for Linear Time Varying (LTV) systems and a class of nonlinear time-varying systems in the output canonical form. An interval observer design is feasible if it is possible to calculate the observer gains making the estimation error dynamics cooperative and stable. It has been shown that under some mild conditions the cooperativity of an LTV system can...
This work is devoted to design of interval observers for a class of Linear-Parameter-Varying (LPV) systems. Applying High Order Sliding Mode (HOSM) techniques it is possible to decrease the initial level of uncertainty in the system, which leads to improvement of set-membership estimates generated by an interval observer. In addition, it is shown that HOSM techniques may relax the applicability conditions...
The problem of output stabilization of a class of nonlinear systems subject to parametric and signal uncertainties is studied. First, an interval observer is designed estimating the set of admissible values for the state. Next, it is proposed to design a control algorithm for the interval observer providing convergence to zero of the interval variables, that implies a similar convergence of the state...
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