In this paper, we design a multi-objective controller ( ) u t to achieve the following three objectives simultaneously. They are pole placement, H∞ norm constraint and individual error state variance constraint for stochastic model reference systems. By using the invariance property of sliding mode control, the matched model reference input and the plant error term will disappear on the sliding...

In the theory of linear H control, the strict bounded real lemma plays a critical role because it provides a connection between the stabilizing solutions to the H Riccati equations and the stability and disturbance attenuation of the closed loop system. Nonlinear versions of the strict bounded real lemma are also important in nonlinear H control theory. In this paper we investigate the extensio...

This paper presents a complete solution to an extended H = control problem for a generalized plant comprising a physical system cascaded with weights containing poles in the closed right half-plane. Necessary and su$cient conditions for a solution to exist are obtained which guarantee closed-loop stability of the physical system and controller as well as achieving the H = norm constraint on the...

Our work is a fundamental study of the notion of approximation inQ-categories and in (U,Q)-categories. Our exposition is categorical but kept as close to language of domain theory as possible. Consequently, we introduce auxiliary, approximating and Scott-continuous distributors, the way-below distributor, and continuity of Qand (U,Q)-categories. We fully characterize J-continuous Q-categories (...

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