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This paper proposes on linear matrix inequalities (LMIs) characterization of guaranteed H∞ and H2 norms costs for linear singular systems with convex bounded parameter uncertainties. Both continuous-time and discrete-time systems are addressed.
The physical parameters of controlled systems are uncertain and are accompanied by nonlinearity. The transfer function and the characteristic polynomial should, therefore, be expressed by interval (polytopic) polynomials, regardless of whether the input-output signals are continuous or discrete in time. This paper evaluates the robust stability of discrete-time control systems based on the existing...
A constructive procedure for robust output controller design is given starting from the unit hypercube of reflection coefficients of monic polynomials. This procedure consists of two main steps: convex approximation of the stability domain by a reflection vector polytope and robust controller design by quadratic programming approach. The roots placement of reflection vectors is studied and the weights...
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