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Interconnection damping assignment passivity based control (IDA-PBC) is an emerging control design method which allows an engineer to systematically design an advanced controller for complex non-linear systems. As a result specific gain ranges can be determined which can prevent an operator (adversary) from accidentally (maliciously) setting control gains which could potentially destabilize the system...
In this paper, the robust H?? guaranteed cost control problem for nonlinear time delay discrete two dimensional (2-D) systems is investigated, the nonlinear elements of systems satisfies Lipschitze condition, based on the stability theorem and linear matrix inequalities (LMI), firstly a sufficient condition of the controller existence is established, then the solvability of the robust controller designing...
A design method for a non-fragile repetitive control based on two-dimensional model is proposed for a class of linear discrete-time systems. The characteristics of the control and learning processes, as well as the uncertainties of repetitive controller and feedback controller are considered to establish a two-dimensional model for the discrete repetitive control system. Next, the stability condition...
Using the method of setting a special number of buffer in receiving nodes in networked control systems proposed in literature, the stochastic time delay in networked control systems can be transformed a a constant delay. Then the stochastic networked control systems can be transformed to a deterministic system, which will be valuable when the probability distribution function of network-induced delay...
This paper presents an integrated model-based networked control and sensor scheduling framework for spatially-distributed processes modeled by parabolic PDEs controlled over a resource-constrained wireless sensor network (WSN). The framework aims to enforce closed-loop stability with minimal information transfer over the WSN. Based on an approximate finite-dimensional system that captures the dominant...
In this paper, dynamic practical stability properties of infinite-dimensional sampled-data systems are discussed. A family of finite-dimensional discrete-time controllers are first designed to uniformly exponentially stabilize numerical approximate models that are obtained from space and time discretization. Sufficient conditions are provided to ensure that these controllers can be used to drive trajectories...
In this paper a 2D systems setting is used to develop new results on iterative learning control for linear plants in the case when there are multiple reference signals. The algorithms for control law design are developed using a strong form of stability for discrete linear repetitive processes known as stability along the pass. The resulting design computations are in terms of linear matrix inequalities...
In this paper, discrete-time full and reduced order anti-windup design for general linear cascade control systems under actuator saturation constraint is considered. Based on decoupled architecture with multi-loop compensation, l2 gain reduction, discrete-time Block Diagonal Quadratic Lyapunov Function, and sector bounded-ness, LMI conditions are developed for full and reduced order anti-windup design...
The paper considers uncertain discrete-time linear repetitive processes described by a polytopic state-space model. Several parametrizations of the set of members in the class of (static) control laws that robustly stabilize these processes are developed. These are LQR, truncated LQR and stochastic parametrizations respectively. A numerical example which demonstrates the application one of the parametrizations...
This work presents a methodology for the design of a model-based networked control system for spatially distributed processes described by linear parabolic partial differential equations (PDEs) with measurement sensors that transmit their data to the controller/actuators over a bandwidth-limited communication network. The central design objective is to minimize the transfer of information from the...
Consider a discrete-time networked control scheme, in which the controller has direct access to noisy measurements of the plant??s output, but the controller and the actuator are connected via a link that features Bernoulli erasure events. We determine necessary and sufficient conditions for the stabilizability of an unstable linear and time-invariant plant. We show that these conditions are identical...
Repetitive processes propagate information propagation in two independent directions and are of both systems theoretic and applications interest. They cannot be controlled by direct extension of existing techniques from either standard (termed 1D here) or (often) 2D systems theory. In this paper we propose, motivated by critical features in the dynamics of some examples a model which has non-causal...
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