A J-lossless coprime factorisation approach to H∞ control in delta domain

Suchomski, Piotr

doi:10.1016/s0005-1098(02)00096-1

Cited by 16 publications

(4 citation statements)

References 23 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Proof: Under the zero initial condition, we use the discrete Jensen inequality [41] with (7) and have the following inequalities…”

Section: Lemmamentioning

confidence: 99%

“…When T → 0, the delta operator model will approach the continuous system before discretisation and reflect a quasi-continuous performance. Based on the early results on the basic properties of delta operator such as [3,4], some theoretical research methods in delta domain are studied to explore the relevant approaches to study the robust stability of delta operator systems in [5][6][7]. The delta operator model can be applied as a useful approach to deal with discrete-time systems under high sampling rates through the analysing methods of continuoustime systems.…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Asymptotic stability and stabilisation of uncertain delta operator systems with time‐varying delays

Xie

Yin

Kaynak

2013

IET Control Theory & Applications

View full text Add to dashboard Cite

“…Proof: Under the zero initial condition, we use the discrete Jensen inequality [41] with (7) and have the following inequalities…”

Section: Lemmamentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Asymptotic stability and stabilisation of uncertain delta operator systems with time‐varying delays

Xie

Yin

Kaynak

2013

IET Control Theory & Applications

View full text Add to dashboard Cite

“…Designing control algorithm by using traditional shift operator may cause serious numerical problem especially under a finite word-length constraint as in other works. 16,[22][23][24] The literature shows that control systems, such as ball and beam system, load frequency control system, and ranger neutral buoyancy vehicle system, cannot be stable or track the objective form theoretical analysis, numerical simulation, or experiment perspective when they are sampled by shift operator with small periods under constraint of finite word-length. The delta operator method is recommended as an effective way to solve the sampling issues for WNCSs.…”

Section: Introductionmentioning

confidence: 99%

Resilient control for wireless networked control systems under DoS attack via a hierarchical game

Yuan

Xia

Yang

et al. 2018

Intl J Robust & Nonlinear

View full text Add to dashboard Cite

In this paper, the resilient control problem is investigated for a wireless networked control system (WNCS) under denial-of-service (DoS) attack via a hierarchical game approach. In the presence of a wireless network, a DoS attacker leads to extra packet dropout in the cyber layer of WNCS by launching interference power. A zero-sum Markov game is exploited to model the interaction between the transmitter and the DoS attacker under dynamic network environment. Additionally, with the attack-induced packet loss, an H ∞ minimax controller is designed in the physical layer by using a delta operator approach.Both value iteration and Q-learning methods are used to solve the hierarchical game problem for the WNCS. The proposed method is applied to a load frequency control system to illustrate the effectiveness. KEYWORDS denial-of-service attack, game theory, H ∞ minimax control, resilient control, wireless networked control system 4604

show abstract

“…Consequentially, we present two strategies to deal with these above-mentioned issues. First, we introduce the delta operator approach to build a sampled-data model for the networked-control system due to its accurate approximation to the continuous-time model under rapid sampling conditions [7][8][9][10][11]. This advantage can be demonstrated by citing an instance.…”

Section: Introductionmentioning

confidence: 99%

Optimal Vibration Control for Half-Car Suspension on In-Vehicle Networks in Delta Domain

Lei

Zuo

et al. 2013

Abstract and Applied Analysis

View full text Add to dashboard Cite

The paper explores the optimal vibration control design problem for a half-car suspension working on in-vehicle networks in delta domain. First, the original suspension system with ECU-actuator delay and sensor-ECU delay is modeled. By using delta operators, the original system is transformed into an associated sampled-data system with time delays in delta domain. After model transformation, the sampled-data system equation is reduced to one without actuator delays and convenient to calculate the states with nonintegral time delay. Therefore, the sampled-data optimal vibration control law can be easily obtained deriving from a Riccati equation and a Stein equation of delta domain. The feedforward control term and the control memory terms designed in the control law ensure the compensation for the effects produced by disturbance and actuator delay, respectively. Moreover, an observer is constructed to implement the physical realizability of the feedforward term and solve the immeasurability problem of some state variables. A half-car suspension model with delays is applied to simulate the responses through the designed controller. Simulation results illustrate the effectiveness of the proposed controller and the simplicity of the designing approach.

show abstract

A J-lossless coprime factorisation approach to H∞ control in delta domain

Cited by 16 publications

References 23 publications

Asymptotic stability and stabilisation of uncertain delta operator systems with time‐varying delays

Asymptotic stability and stabilisation of uncertain delta operator systems with time‐varying delays

Resilient control for wireless networked control systems under DoS attack via a hierarchical game

Optimal Vibration Control for Half-Car Suspension on In-Vehicle Networks in Delta Domain

Contact Info

Product

Resources

About