In this paper we investigate the robustness of stability of linear systems _ x = Ax resp. x(t + 1) = Ax(t) under complex or real (i) time-varying linear, (ii) nonlinear, (iii) time-varying nonlinear, or (iv) dynamic parameter perturbations of the output feedback type. The class of dynamic perturbations is suuciently wide to account for all kinds of neglected dynamics with nite gain encountered ...

In this paper, we consider the problem of construtcing reduced complexity controllers for output feedback nonlinear H1 control. We give su cient conditions, under which the controllers so obtained, guarantee asymptotic stability of the closed-loop system when there are no exogenous inputs. The controllers obtained are non-optimal in general. However, in case optimality holds, we show that these...

The paper is concerned with the problem of determining a complete set of invariants for output feedback. Using tools from geometric invariant theory it is shown that there exists a quasi-projective variety whose points parameterize the output feedback orbits in a unique way. If the McMillan degree n ≥ mp, the product of number of inputs and number of outputs, then it is shown that in the closur...

Model predictive control (MPC) for uncertain systems in the presence of hard constraints on state and input is a non-trivial problem, challenge increased manyfold absence measurements. In this paper, we propose an adaptive output feedback MPC technique, based novel combination observer robust MPC, single-input single-output discrete-time linear time-invariant systems. At each time instant, prov...