The Infona portal uses cookies, i.e. strings of text saved by a browser on the user's device. The portal can access those files and use them to remember the user's data, such as their chosen settings (screen view, interface language, etc.), or their login data. By using the Infona portal the user accepts automatic saving and using this information for portal operation purposes. More information on the subject can be found in the Privacy Policy and Terms of Service. By closing this window the user confirms that they have read the information on cookie usage, and they accept the privacy policy and the way cookies are used by the portal. You can change the cookie settings in your browser.
Past papers on adaptive control of unstable PDEs with unmatched parametric uncertainties have considered only parabolic PDEs and first-order hyperbolic PDEs. In this note we introduce several tools for approaching adaptive control problems of second-order-in-time PDEs. We present these tools through a benchmark example of an unstable wave equation with an unmatched (non-collocated) anti-damping term,...
In this paper we develop dissipativity theory for discontinuous dynamical systems. Specifically, using set-valued supply rate maps and set-valued connective supply rate maps consisting of locally Lebesgue integrable supply rates and connective supply rates, respectively, and set-valued storage maps consisting of piecewise continuous storage functions, dissipativity properties for discontinuous dynamical...
We consider the conflict dynamics between two multi-agent swarms. First, the complex nature of a single pursuer attempting to intercept a single evader (1P-1E) is investigated, and some rudimentary rules of engagement are established. We elaborate on the stability repercussions of these rules. Second, we extend the modeling and stability analysis to multi-agent swarms. The present document considers...
We consider network resource allocation problems based on convex optimization, and their decentralized solutions by means of primal, dual, or primal-dual subgradient control. We show how Krasovskii's method, that seeks Lyapunov functions which are quadratic forms of the vector field, provides new global stability proofs for various problems of this kind. Applications include congestion control, cross-layer...
This paper establishes the equivalence among several stability criteria, and presents a simplified stability criterion for singular time-delay systems. Furthermore, by using a delay decomposition method, a new stability criterion which is much less conservative than the existing ones is obtained. A numerical example is given to illustrate the effectiveness and less conservatism of the new proposed...
This paper addresses the problem of synchronization errors in distributed dynamical systems. In particular, it focuses on the question of stability for the case where all subsystems have the same sampling frequency, but different switching times. In contrast to previous work, the approach taken here models the set of system matrices that arise using a polytopic uncertainty approach, where a polytope...
This paper revisits the problem of checking the robust stability of matrix families generated by interval parameters in a matrix. Previous research on this topic (including that of this author) erroneously assumed that this family can be represented as a standard convex combination of vertex matrices (matrices evaluated at the end points of the interval parameters). Solutions offered to this important...
This paper proposes a design method of discrete-time reset control systems with the reset time instants prespecified. With a base linear system designed conventionally, the discrete-time reset law design aims at improving the system transient responses. The design method can guarantee the system stability and the solution of the controller is obtained by solving Riccati equations. The proposed reset...
This paper formulates and solves the stability robustness problem for a class of gradient play cooperative differential games with coalition structures allowing for partial participation and symmetric contracts. We show that when the fully cooperative grand coalition generates stable dynamics, then all other coalition structures are stable. This stability guarantee is important in designing localized...
In a recent paper we presented the first adaptive control design for an ODE system with a possibly large actuator delay of unknown length. We achieved global stability under full state feedback. In this paper we generalize the design to the situation where, besides the unknown delay value, the ODE also has unknown parameters, and where trajectory tracking (rather than equilibrium regulation) is pursued.
This paper presents a method for completing Lagrangian hybrid systems models in a formal manner. That is, given a Lagrangian hybrid system, i.e., a hybrid system that models a mechanical system undergoing impacts, we present a systematic method in which to extend executions of this system past Zeno points by adding an additional domain to the hybrid model. Moreover, by utilizing results that provide...
We introduce a dynamic vehicle routing problem in which demands arrive uniformly on a segment and via a temporal Poisson process. Upon arrival, the demands translate perpendicular to the segment in a given direction and with a fixed speed. A service vehicle, with speed greater than that of the demands, seeks to serve these translating demands. For the existence of any stabilizing policy, we determine...
This paper considers the problem of controlling a group of microrobots that can move at different speeds but that must all move in the same direction. To simplify this problem, the movement direction is made a periodic function of time. Although the resulting control policy is suboptimal for an infinite-horizon quadratic cost, a bound is provided on how suboptimal it is. This bound is extended to...
Minimum phase systems are the only systems that allow (in disturbance-free unconstrained case) the achievement of perfect tracking in presence of arbitrary reference signals. The question is whether this still holds when the control input is subject to input saturation constraint. Surprisingly, most works on global output tracking in presence of input saturation focused on nonminimum phase systems...
Zooming type adaptive quantizers have been introduced in the networked control literature as efficient coders for stabilizing open-loop unstable noise-free systems connected over noiseless channels with arbitrary initial conditions. Such quantizers can be regarded as a special class of the Goodman-Gersho adaptive quantizers. In this paper, we provide a stochastic stability result for such quantizers...
In this work, a method for determining the reliability of dynamic systems is discussed. Using statistical information on system parameters, the goal is to determine the probability of a dynamic system achieving or not achieving frequency domain performance specifications such as low frequency tracking error, and bandwidth. An example system is considered with closed loop control. A performance specification...
Stabilization of unstable systems with actuator delay of substantial length and of completely unknown value is an important problem that has never been attempted. We present a Lyapunov-based adaptive control design that achieves global stability, without a requirement that the delay estimate be near the true delay value. We solve the problem by employing a framework where the actuator delay is represented...
This is a brief survey of a little known field of disturbance estimation and subsequent cancellation, a field with a long history and is still rather disorganized. Researchers and results are scattered over almost two centuries, across East and West: from Jean-Victor Poncelet's Principle of Invariance in 1829, to Jingqing Han's conception of Active Disturbance Rejection in 1995 and beyond. But the...
This paper presents the formulation of a Lyapunov function for an exponentially stable linear time-varying (LTV) system using a well-defined PD-spectrum and the associated PD-eigenvectors. It provides a bridge between the first and second methods of Lyapunov for stability assessment, and will find significant applications in the analysis and control law design for LTV systems and linearizable nonlinear...
In this paper, a decentralized overlapping static output feedback law is proposed to control a linear time-invariant (LTI) interconnected system. It is assumed that an overlapping information flow structure is given which determines which output measurements are available for any local control agent. Uncertain transmission delay is also considered in communication links among different subsystems...
Set the date range to filter the displayed results. You can set a starting date, ending date or both. You can enter the dates manually or choose them from the calendar.