this paper presents some analyses about the robust practical stability of a class of nonlinear affine systems in the presence of non-vanishing perturbations based on the passivity concept. the given analyses confirm the robust passivity property of the perturbed nonlinear systems in a certain region. moreover, robust control laws are designed to guarantee the practical stability of the perturbe...

This paper presents some analyses about the robust practical stability of a class of nonlinear affine systems in the presence of non-vanishing perturbations based on the passivity concept. The given analyses confirm the robust passivity property of the perturbed nonlinear systems in a certain region. Moreover, robust control laws are designed to guarantee the practical stability of the perturbe...

This paper is devoted to the robust stabilization and passivity of general uncertain nonlinear systems. It is first proved that the unforced system has a unique local solution with any initial value in some neighborhood of the origin. Some properties of robust passive systems are obtained. Based on these properties, it is verified that under some conditions robust passivity of the uncertain sys...

This paper considers the robust stability of the interconnection of a linear timeinvariant differential nominal system and passive uncertainties in the behavioral framework. A generalized version of the well-known passivity theorem is formulated by using quadratic differential forms. Based on the generalized passivity theorem, it is proved that, if the nominal system is Φ-passive, the interconn...

In previous papers, a passive control implementation structure is proposed for mechanical systems interacting with physical environments. The proposed implementation structure enforces robust passivity of the closed-loop system, i.e. passivity is ensured in the presence of inaccurate force sensing and model uncertainties. In this paper, we conduct experiments to validate and demonstrate this ro...

In this paper we identify graph-theoretic conditions which allow us to write a nonlinear RLC circuit as port-Hamiltonian with constant input matrices. We show that under additional monotonicity conditions on the network’s components, the circuit enjoys the property of relative passivity, an extended notion of classical passivity. The property of relative passivity is then used to build simple, ...

In this note we identify graph-theoretic conditions which allow to write an RLC circuit as port-Hamiltonian with constant input matrices. We show that under additional monotonicity conditions of the network’s components, the circuit enjoys the property of relative passivity, an extended notion of classical passivity. The property of relative passivity is then used to build simple, yet robust an...

The celebrated small-gain approach to robust control only makes use of the gain information of uncertainty. This results in a limitation on the achievable control bandwidth in system design. On the other hand, the alternative passivity approach has only limited applications. To relax the limitations associated with small-gain and passivity approaches, we explore the possibility of utilizing bot...

This paper focuses on the lateral control of intelligent vehicles. The aim is to minimize the lateral displacement of the autonomous vehicle with respect to a given reference trajectory. The control input is the steering angle and the output is the lateral error displacement. After passivity analysis of the system to establish the properties of passivity between the inputs and outputs, we prese...

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. This paper considers the passivity analysis problem for a large class of systems which involve uncertain parameters, time delays, quantization errors, and unmodeled high order dynamics. By characterizing these a...