LMI Optimization for Nonstandard Riccati Equations Arising in Stochastic Control [Technical Notes an - Automatic Control, IEEE Transactions on

In this paper some conditions under which, even in the uncertain case, the convergence to a sliding manifold can be attained relying on a control strategy still based on a simplex of control vectors are identified. The contribution is expressed through a couple of theorems which appear as a natural basis to develop a multi-input control strategy which operating a sequence of rotations and increments of the modula of the vectors of the known simplex enables one to attain the condition relevant to the reciprocal position of the uncertain and the known simplexes expressed by the Theorem 4 statement. Thus, even in the uncertain case, the objective of steering I/, and consequently s, to the origin of their state spaces i s reached.