Decentralized Reliable Control of Interconnected Time-Delay Systems Against Sensor Failures (English)

In: Journal of Optimization Theory and Applications   ;  147 ,  2  ;  318-336  ;  2010

How to get this document?

Commercial Copyright fee: €34.95 Basic fee: €4.00 Total price: €38.95
Academic Copyright fee: €12.50 Basic fee: €2.00 Total price: €14.50

Abstract In this paper, we study the problem of designing decentralized reliable feedback control methods under a class of control failures for a class of linear interconnected continuous-time systems having internal subsystem time-delays and additional time-delay couplings. These failures are described by a model that takes into consideration possible outages or partial failures in every single actuator of each decentralized controller. The decentralized control design is performed through two steps. First, a decentralized stabilizing reliable feedback control set is derived at the subsystem level through the construction of appropriate Lyapunov-Krasovskii functional and, second, a feasible linear matrix inequalities procedure is then established for the effective construction of the control set under different feedback schemes. Two schemes are considered: the first is based on state-measurement and the second utilizes static output-feedback. The decentralized feedback gains in both schemes are determined by convex optimization over linear matrix inequalities. We characterize decentralized linear matrix inequality-based feasibility conditions such that every local closed-loop subsystem of the linear interconnected delay system is delay-dependent robustly asymptotically stable with an γ-level ℒ2-gain. The developed results are tested on a representative example.

Table of contents – Volume 147, Issue 2

Show all volumes and issues

The tables of contents are generated automatically and are based on the data records of the individual contributions available in the index of the TIB portal. The display of the Tables of Contents may therefore be incomplete.

Optimal Control of Second Order Systems with Infinite Time Horizon: Existence of Solutions
Idczak, D. / Walczak, S. | 2010
Pseudotransient Continuation for Solving Systems of Nonsmooth Equations with Inequality Constraints
Chen, J. / Qi, L. | 2010
Minimizing Sequences for a Family of Functional Optimal Estimation Problems
Alessandri, Angelo / Gnecco, Giorgio / Sanguineti, Marcello | 2010
Reverse Convex Programming Approach in the Space of Extreme Criteria for Optimization over Efficient Sets
Thoai, N. V. | 2010
Optimal Motion of a Two-Body System in a Resistive Medium
Chernousko, F. L. | 2010
Synchronization Criterion for Lur’e Systems via Delayed PD Controller
Ji, D. H. / Park, Ju H. / Lee, S. M. / Koo, J. H. / Won, S. C. | 2010
Decentralized Reliable Control of Interconnected Time-Delay Systems Against Sensor Failures
Al-Rayyah, Ali Y. / Mahmoud, Magdi S. | 2010
Stochastic and Risk Management Models and Solution Algorithm for Natural Gas Transmission Network Expansion and LNG Terminal Location Planning
Zheng, Qipeng P. / Pardalos, Panos M. | 2010
Classical and Impulse Control for the Optimization of Dividend and Proportional Reinsurance Policies with Regime Switching
Wei, Jiaqin / Yang, Hailiang / Wang, Rongming | 2010
Uniform Approximation by the Highest Defect Continuous Polynomial Splines: Necessary and Sufficient Optimality Conditions and Their Generalisations
Sukhorukova, Nadezda | 2010
Annealing a Genetic Algorithm for Constrained Optimization
Mendivil, F. / Shonkwiler, R. | 2010
On an Implicit Method for Nonconvex Variational Inequalities
Noor, M. A. | 2010