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This paper provides a brief overview of delayed feedback control schemes for offshore structures. Two simplified models of offshore steel jacket structures are listed first. Then based on the dynamic models of offshore structures, several active control strategies including delayed H∞ control and delayed integral sliding mode control by using pure delayed signals and using current as well as delayed...
This paper is concerned with stability of a linear system with a time-varying delay. The direct Lyapunov method is a powerful tool for studying stability of the system. Note that a tighter estimation on the time derivative of some Lyapunov-Krasovskii functional usually leads to a less conservative stability criterion. First, by introducing an auxiliary vector-valued function, this paper proposes a...
This paper is concerned with networked output feedback H∞ control of an offshore structure under earthquakes. With a networked model of the offshore structure, a networked output feedback H∞ control strategy is proposed to suppress seismic vibration of the structure. Then, some delay-dependent stability criteria for the offshore structure system are derived. Simulation results show that compared with...
During the past few decades, networked systems have gained increasing attention and a wider range of applications have been found in areas such as industrial control and signal processing. This paper provides a brief survey of recent results on control and filtering for networked systems. In-depth analysis and discussion is first made on networked control and event-triggered control, where existing...
This paper is concerned with the problem of the robust sampled-data H∞ control for an offshore steel jacket platform subject to the self-excited wave force and the external disturbance. First, by using the input delay method, the corresponding closed-loop system with the sampling measurements is transformed into a continuous-time system. Then, based on a Lyapunov functional, the H∞ performance is...
This paper is concerned with the distributed H∞ filtering problem over sensor networks subject to time varying transmission delays. First, the classical Round-Robin protocol is used for the scheduling of samplers' information towards the corresponding filter. Second, a distributed event-triggering transmission scheme is introduced for information communication among distributed filters. As a result,...
This paper is concerned with the problem of event-triggered H∞ control for a class of networked control systems with nonlinear perturbations. The nonlinear perturbations appear in both the system dynamic equation and the controlled output signals. An event-triggered transmission scheme is introduced to select ‘necessary’ sampled-data packets to be transmitted through a communication network. Under...
This paper deals with the event-triggered distributed H∞ filtering for a class of networked systems with sensor networks. The topology of the sensor network is supposed to be time-varying. Whether or not a sampled data packet of a sensor node should be transmitted to its neighbors is determined by a predefined event-triggering condition, which closely depends on the variation of the sensor network...
This paper is concerned with the problem of event-triggered distributed H∞ filtering for a class of networked systems with sensor networks. First, an event-triggered scheme is introduced to select those necessary data packets to be transmitted for filter design. As a result, communication and energy resources can be significantly saved while some certain system performance can be preserved. Second,...
This paper is concerned with the problem of designing distributed event-triggered H∞ filters over sensor networks subject to heterogeneous coupling intercommunication delays. A new distributed event-triggered scheme is proposed to determine whether or not each sensor's current sampled data should be broadcasted and transmitted to its underlying neighboring nodes through the communication network....
This paper is concerned with event-triggered mixed H∞ and passive control for linear systems via dynamic output feedback controllers. The system outputs are grouped into multiple nodes, in which different senors sample the corresponding data with a same period. A decentralized event-triggering scheme is introduced to select those necessary data packets to be transmitted so that communication resources...
This paper is concerned with the event-based control for networked control systems via dynamic output feedback controllers (DOFCs). The output measurement signals of the physical plant are sampled periodically. An output-based discrete event-triggering mechanism is introduced to choose those only necessary sampled-data packets to be transmitted through a communication network for controller design...
This paper is concerned with the H;∞ filtering for sampled-data systems. First, an event-based data packet processor is introduced to release the sampled measurement outputs only if an event condition is violated. As a result, the communication resources can be significantly saved while the desired system performance can be preserved. Second, the resulting filtering error system is modeled as an interval...
This paper is concerned with the stability of networked control systems in the discrete-time domain. A new bounding technique is proposed to estimate some finite-sum terms appearing in the forward difference of the chosen Lyapunov functional. This new bounding technique can provide tighter upper bounds for some finite-sum terms and avoid overly bounding for the finite-sum terms. Then a novel delay-dependent...
This paper is concerned with active packet dropouts-based anti-disturbance performance optimization for a continuous-time networked control system (NCS) under consideration of time-varying network-induced delays. By proposing the active packet dropouts method, a new model for an NCS is established. Based on the established model, stabilizing controller design criteria are derived to optimize the anti-disturbance...
This paper focuses on the stability analysis of a discrete-time linear system with an interval-like time-varying delay in the state. A novel inequality for finite-sum Σj=(r1)(r2)-1ωT(j)Rω(j) is first established, where r1 and r2 are integers or integer-valued functions and R is a symmetric definite positive matrix. One of advantages of this inequality is that the factor r2-r1 appears in the estimation...
This paper is concerned with sliding mode control of offshore steel jacket platforms subject to nonlinear wave-induced forces. Two sliding mode control schemes are proposed to reduce the oscillation amplitudes of the platforms. One scheme is that a conventional sliding mode controller (SMC) is designed, under the SMC the oscillation amplitudes of the platform are effectively reduced; however, a very...
This paper is concerned with the stability of linear systems with interval time-varying delays arising from networked control systems (NCSs). The Jensen integral inequality is first generalized into a new inequality to overcome the limitation of applications. Then a novel delay-dependent stability criterion is derived by combining the generalized Jensen integral inequality and the convex combination...
This paper is concerned with non-fragile H∞ filtering for linear systems in network environments. The filtering error system is modeled as a linear system with an interval time-varying delay. Then a delay-decomposition approach is employed to derive a sufficient condition such that the filtering error system is asymptotically stable with a prescribed H∞ disturbance attenuation level, where the non-fragility...
This paper is to investigate the effect of a small time-delay on dynamic output feedback control of an offshore steel jacket structure subject to a nonlinear wave-induced self-excited hydrodynamic force. Firstly, a conventional dynamic output feedback controller is designed to reduce the internal oscillations of the offshore structure. It is found that the obtained controller is of a large gain in...
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