The paper extends the recently developed robust LQG control design methodology to stochastic uncertain systems with a normalised coprime factor uncertainty structure. To consider this class of model uncertainties, a special technique of probability measure transformations is developed. As a by-product, other types of the model uncertainty, for example, those reflecting passivity of the uncertai...

In this study, a new servo control system is presented for the overhead crane based on discrete-time state feedback approach. It provides both robust tracking and load swing suppression. Inspired from independent joint and computed torque control in robot manipulator field, a new model is derived in which the crane actuators are considered as the main plant. The crane nonlinearities are then tr...

This paper presents a framework for control design of general nonlinear switched systems using passivity and two passivity indexes. Background material will be presented on traditional passivity for continuously varying systems, the concept of a passivity index, and passivity theory for switched systems. The passivity index concept will then be generalized to apply to switched systems to measur...

The problem of passivity analysis finds important applications in many signal processing systems such as digital quantizers, decision feedback equalizers, and digital and analog filters. Equally important is the problem of passification, where a compensator needs to be designed for a given system to become passive. This paper considers these two problems for a large class of systems that involv...

This paper focuses on the observer-based passive fuzzy controller design problem for uncertain Takagi-Sugeno (T-S) fuzzy models with time-delay and multiplicative noise. For stability analysis and synthesis, the sufficient conditions are derived via Lyapunov-krasovskii function and Itô’s formula in terms of Linear Matrix Inequalities (LMIs). In addition, the passivity theory is employed to disc...

In the early days of nonlinear control theory most of the stability, optimality and uncertainty concepts were descriptive rather than constructive. This survey describes their ‘activation’ into design tools and constructive procedures. Structural properties of nonlinear systems, such as relative degree and zero dynamics, are connected to passivity, while dissipativity, as a finite L2-gain prope...