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The problem of bounded disturbance rejection for linear impulsive systems with polytopic uncertainties is considered in this paper. By using the Lyapunov function and positively invariant set method, a sufficient condition for robustly internal stability and L1-performance of the impulsive systems is obtained in terms of linear matrix inequalities. A simple algebraic approach to the design of a linear...
This paper proposes an off-line procedure which enables the robustification of an initial stabilizing controller for multivariable systems using the convex optimization of a Youla parameter. This robustification must provide stability robustness towards unstructured uncertainties for the nominal system, while guaranteeing stability properties over a specified polytopic domain of uncertainties. Solving...
An observer-based robust predictive control algorithm for singular systems with convex polytopic uncertainties is presented by linear matrix inequality formulation. By constructing the Lyapunov function with the error term, the infinite time domain dasiamin-maxpsila optimization problems are converted into linear programming problems, the sufficient conditions for the existence of observer-based robust...
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