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In this paper, we study matrix scaling and balancing, which are fundamental problems in scientific computing, with a long line of work on them that dates back to the 1960s. We provide algorithms for both these problems that, ignoring logarithmic factors involving the dimension of the input matrix and the size of its entries, both run in time \widetilde{O}(m\log \kappa \log^2 (1/≥ilon))...
This paper deals with a design problem of variable gain robust model following/tracking control for a class of uncertain linear systems. The new proposed variable gain robust control system is composed of fixed gain controllers and variable ones. In this paper, LMI-based sufficient conditions for the existence of the proposed variable gain robust controller are given. Finally, a simple numerical example...
A simple but versatile approach to robust control design for linear systems with system and exogenous disturbances is proposed. The proposed approach is based on the technique of linear matrix inequalities and the concept of invariant ellipsoids. The approach is easily implemented computationally, its efficacy is demonstrated on the benchmark example of the F-16 aircraft model.
In this paper, we propose a predictor-based sliding mode control algorithm for LTI systems with input-delay and disturbance. It is shown that our proposed algorithm can completely reject the constant disturbance from the state channel. It is also shown that with our proposed algorithm, an enhanced disturbance rejection can be achieved for a large class of other time-varying disturbances. Simulations...
There are many practical applications based on the Least Square Error (LSE) approximation. It is based on a square error minimization “on a vertical” axis. The LSE method is simple and easy also for analytical purposes. However, if data span is large over several magnitudes or non-linear LSE is used, severe numerical instability can be expected. The presented contribution describes a simple method...
This study elucidates a robust control scheme for pseudolinear systems that are subject to some uncertainties. Pseudolinear systems are nonlinear systems that are fully feedback linearizable. The system involves robust pole assignment (RPA) control, quasi-similarity transformation (QST), and approximate feedback linearization (AFL). First, using the results of exact feedback linearization (EFL), we...
Decentralized Fixed Mode (DFM) radius is a robustness measure of decentralized control system reflecting how far a system is from having DFM. In this paper, real DFM radius is defined for decentralized control systems with input and output delays, and a computing formula is derived for the same using restricted real perturbation measures. Results of this paper for computing DFM radius of time-delay...
This paper presents a controller design methodology for linear dynamic systems with interval parameters. In order to overcome the conservatism of classical Interval Analysis methods applied to this class of uncertain systems, the paper proposes a solution for the problem of multi-incidences of model parameters when the controller design is based on interval Diophantine equations. The paper includes...
The paper considers the robust stability problem of uncertain discrete-time fractional order linear state-space systems. The state matrix is the interval matrix whose entries are convex combinations of the entries of two known constant matrices. The necessary and sufficient condition for robust stability is proposed. This condition is stated with respect to eigenvalue-loci placement in the complex...
The Chemical Master Equation (CME) is used to stochastically model biochemical reaction networks, under the Markovian assumption. The low-order statistical moments induced by the CME are often the key quantities that one is interested in. However, in most cases, the moments equation is not closed; in the sense that the first n moments depend on the higher order moments, for any positive integer n...
This article is concerned with resilient asynchronous H∞ output feedback controller designed for a set of Markov jump linear systems (MJLSs). By Finsler's Lemma, and with the help of two sets of slack variables, the problem of inter connection between the Lyapunov matrices and the system matrices was solved. Resilient asynchronous controller is designed to ensure the controller has the character of...
We present a novel, purely affinity-based natural image matting algorithm. Our method relies on carefully defined pixel-to-pixel connections that enable effective use of information available in the image and the trimap. We control the information flow from the known-opacity regions into the unknown region, as well as within the unknown region itself, by utilizing multiple definitions of pixel affinities...
In this paper, we first formulate the event-triggered robust practical output regulation problem for a class of linear minimum-phase systems. The problem formulation requires the solution to the closed-loop system exist for all t ≥ 0, thus ruling out the possibility of the Zeno behavior, and the steady-state tracking error be made arbitrarily small. Then, we present the solvability of the problem...
We propose a new event-generating rule for event-triggered control of nonlinear systems with external disturbances. We consider control systems that are input-to-state stabilizable with the external disturbance and the sampling errors as the inputs. By introducing a decision-making process in the event trigger, our sampling intervals are guaranteed to be larger than a positive lower bound. Moreover,...
This paper aims at non-asymptotically estimating the fractional integral and derivative of the output for a class of fractional order linear systems in noisy environment with unknown initial conditions. For this purpose, the considered system modeled by the pseudo-state space representation is firstly transformed into a fractional order differential equation. Secondly, based on the obtained equation...
This paper studies the stability of event-triggered control systems subject to Denial-of-Service attacks. An improved method is provided to increase frequency and duration of the DoS attacks where closed-loop stability is not destroyed. A two-mode switching control method is adopted to maintain stability of event-triggered control systems in the presence of attacks. Moreover, this paper reveals the...
In this paper, a robust centralized fault detection observer is proposed for a three-motor web-winding system. First, the original system model is transformed into a canonical form. Then, based on coordinate change and high-gain observer theory, a centralized observer is designed to estimate the system states, and the relevant sufficient condition for existence of the centralized observer is derived...
This paper investigates robust adaptive control of uncertain switched linear systems considering disturbances. Two modifications of the adaptive law of switched linear systems [1] based on parameter projection and a leakage approach are developed to guarantee the stability of the closed-loop switched linear system: a projection law that requires knowledge of the bounds of the parameter estimates;...
In this paper a new method concerning the problem of pole-free perfect control for discrete-time LTI nonsquare systems is presented. It is shown that application of σ-inverse of parameter matrix into the process of designing the above-mentioned control strategy can be useful for nonsquare systems, i.e. systems comprising different numbers of input and output variables. Thus, the special selected so-called...
In this paper, an off-policy reinforcement learning method is developed for the robust stabilizing controller design of discrete-time uncertain linear systems. The proposed robust control design consists of two steps. First, the robust control problem is transformed to an optimal control problem. Second, the off-policy RL method is used to design the optimal control policy which guarantees the robust...
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