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This paper presents a new PID controller tuning formula constructed based on the Multi-Scale Control (MSC) Scheme. The proposed PID tuning formula is applicable to a process which can be approximated by a first-order plus deadtime (FOPDT) or second-order plus zero (SOPZ) model. A simple algorithm is proposed for applying the PID tuning formula to parallel cascade processes. The parallel cascade control...
A finite-horizon linear-quadratic optimal control problem for systems with point-wise and distributed state delays is considered. Based on well known control optimality conditions, the solution of this problem is reduced to solution of the set of three Riccati-type matrix differential equations: an ODE and two first-order PDEs with two and three independent variables. In the paper, this set of Riccati-type...
Multi-stage latency adders based on different prediction schemes have been proved promising to enhance the circuit performance with negligible overhead. This paper presents a novel predictor exploiting both the detection and the sequence-dependence between the successive calculations. The detection of carry-kill pattern of the input data can lower the probability of the operation with multiple clock...
In this research paper, state space representation of concurrent, linearly coupled dynamical systems is discussed. It is reasoned that the Tensor State Space Representation (TSSR) proposed in [Rama1] is directly applicable in such a problem. Also some discussion on synchronizing linearly coupled, concurrent systems evolving on multiple time scales is included. Briefly new ideas related to distributed...
An infinite horizon H∞ control problem for singularly perturbed linear systems with multiple point-wise and distributed small state delays is considered. This problem is solved by its asymptotic slow-fast decomposition yielding two much simpler parameter-free H∞ control problems, the slow and fast ones. Each of these two problems is solved by the Riccati Matrix Inequality/Equation method. A solution...
We study the linear consensus problem in weighted and directed networks under signal transmission delays. In contrast to signal processing delays, the average of the initial conditions is not an invariant of the dynamics. Consequently, the consensus value depends on the delay distribution. On the other hand, the condition for convergence to consensus does not depend on delays but requires the existence...
This paper is concerned with the dominant pole analysis of asymptotically stable time-delay positive systems (TDPSs). It is known that a TDPS is asymptotically stable if and only if its corresponding delay-free system is asymptotically stable, and this property holds irrespective of the length of delays. However, convergence performance (decay rate) should degrade according to the increase of delays...
This paper provides analytical results regarding the stability of linear discrete-time systems with stochastic delays. Necessary and sufficient stability conditions are derived by using the second moment dynamics which can be used to draw stability charts. The results are applied to a simple connected vehicle system where the stability regions are compared to those given by the mean dynamics. Our...
An intriguing perspective is presented in studying the stability robustness of linear time invariant (LTI) fractional order systems with multiple time delays against delay uncertainties (this means that the time delays are constant but their true values are not exactly known). The new approach is based on a holographic mapping, which is implemented over the parametric space of the delays. This mapping...
For a known delay value τ̄ present in the loop of a DC motor speed-control system, an approach is presented here for this system in order to compute the system's controller gains that create marginal stability in the system precisely for τ̄. These gains which guarantee system stability for all delays less than τ̄ are then verified experimentally. Numerical analysis is then performed to select the...
We develop an adaptive output-feedback controller for a wave PDE in one dimension with actuation on one boundary and with an unknown anti-damping dynamics on the opposite boundary. This model is representative of drill string torsional instabilities arising in deep oil drilling, for which the model of bottom interaction with the rock is poorly known. The key feature of the proposed controller is that...
This paper presents a control algorithm for an air multi-compressor system. The goal is to achieve adequate performance in terms of air pressure regulation by properly coordinating a set of compressors driven by fixed speed motors. The coordination is required to impose an upper bound to the activation frequency of electric drives. A multi-compressor system is intended to be a viable alternative to...
The calculation of all stabilizing controller parameters with the parameter space approach is a well-known method. Based on the determined stabilizing parameter space, there exist various analysis and fine-tuning tools for controller design. Unfortunately, the parameter space approach is currently only systematically developed and implemented for the PID controller tuning. This work presents an easy...
We show that the open-loop transfer functions and the stability margins may be defined within the recent model-free control setting. Several convincing computer experiments are presented including one which studies the robustness with respect to delays.
In this paper, the input-state linearization problem for a class of single-input nonlinear time-delay systems is studied for the first time. The problem is solved by searching a linearizing output with full relative degree. Necessary and sufficient conditions are given for the existence of such an output which yields a solution to the linearization problem.
This paper investigates the problem of distributed formation control for perturbed and delayed MASs (Multi-Agent Systems) with multiple dynamic leaders in directed topologies. Based on the established stable theory of stochastic delay differential equations, some sufficient conditions are obtained that allow the required formations to be gained at exponentially converging speeds with probability one...
Leveraging on recent TV white space communications developments in regulations,standards initiatives and technology, this paper considers a suitable next generation network comprising of two primary users (PUs) that compete to offer a service to a group of secondary users (SUs) in the form of mesh routers that belong to different entrepreneurs participating in a non-cooperative TV white space trading...
This paper introduces the notion of localizable distributed systems. These are systems for which a distributed controller exists that limits the effect of each disturbance to some local subset of the entire plant, akin to spatio-temporal dead-beat control. We characterize distributed systems for which a localizing state-feedback controller exists in terms of the feasibility of a set of linear equations...
In this paper we develop a predictor based controller for linear systems with state and input delays. This predictor is formulated recursively over the prediction time by partitioning the input delay into sections smaller than the state delays. The partitioning of the input delay ensures that the resulting predictor equation only depends on the past values of the state and input. When the past state...
This paper considers the problem of stabilizing a single input-single output linear time varying delay system, where the parameters of the system are unknown. A low order controller and a matching controller are proposed. The closed loop system is a linear singularly perturbed retarded system with uniform asymptotic stability behavior. Finally, we show how to design a control law such that the system...
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