Design of a Robust Dynamic State Feedback Controller for Systems with Time-Varying State Delays

2006 ◽  
Author(s):  
Aftab Ahmed Khattak ◽  
Naeem Iqbal
Keyword(s):  
State Feedback ◽  
Feedback Controller ◽  
Dynamic State ◽  
Time Varying ◽  
State Feedback Controller ◽  
State Delays

Adaptive state-feedback stabilization of stochastic nonholonomic systems with an unknown time-varying delay and perturbations

2020 ◽  
pp. 014233122097417
Author(s):  
Qinghui Du
Keyword(s):  
State Feedback ◽  
Nonholonomic Systems ◽  
Feedback Stabilization ◽  
Feedback Controller ◽  
Input State ◽  
Time Varying ◽  
Initial State ◽  
State Feedback Controller ◽  
Time Varying Delay ◽  
Varying Delay

The problem of adaptive state-feedback stabilization of stochastic nonholonomic systems with an unknown time-varying delay and perturbations is studied in this paper. Without imposing any assumptions on the time-varying delay, an adaptive state-feedback controller is skillfully designed by using the input-state scaling technique and an adaptive backstepping control approach. Then, by adopting the switching strategy to eliminate the phenomenon of uncontrollability, the proposed adaptive state-feedback controller can guarantee that the closed-loop system has an almost surely unique solution for any initial state, and the equilibrium of interest is globally asymptotically stable in probability. Finally, the simulation example shows the effectiveness of the proposed scheme.

scholarly journals Robust State Feedback Controller for Photovoltaic Inverter System using Unbundled Smart Meter

2019 ◽  
Vol 8 (11) ◽  
pp. 4095-4104
Keyword(s):  
Power Flow ◽  
State Feedback ◽  
Dynamic Control ◽  
Feedback Controller ◽  
Dynamic State ◽  
Smart Meter ◽  
Control Logic ◽  
State Feedback Controller ◽  
Energy Meter ◽  
Integration Of Renewables

The paper proposes the integration of photovoltaics into distribution power system through inverter control and optimally managing the power flow based on smart energy meter data. The concept of Unbundled Smart Meter (USM) is used which to optimally integrate the inverter control logic with in the Smart meter which requires the construction of SMX (Smart Meter Extension) library. The proposed approach is adapted to make the design more robust and dynamic. State feedback controller has been designed to control the power flow to and from between the inverter and grid through USM and hence provide additional services to support grid operations. The proposed system gives the flexibility of adding numerous functionalities in the installed smart meter without the fuss of firmware change and hence integration of renewables to grid becomes more efficient as the meter’s instantaneous data are used in the dynamic control of the system. The validation of the proposed scheme is achieved by time domain simulations on MATLAB/Simulink R2018a platform along with Arduino programming on Proteus 8.1 software. These results are further assessed through Hardware experiment observations.

scholarly journals Intra-layer Synchronization in a Duplex Networks with Noise

2021 ◽  
Author(s):  
Jinsen Zhuang ◽  
Yan Zhou ◽  
Yonghui Xia
Keyword(s):  
Dynamical System ◽  
State Feedback ◽  
Feedback Controller ◽  
The Other ◽  
Time Varying ◽  
Stochastic Perturbations ◽  
State Feedback Controller ◽  
Control Schemes ◽  
Simulation Results ◽  
The Impact

This paper concerns the impact of stochastic perturbations on the intra-layer synchronization of the duplex networks. A duplex network contains two layers ([1,2]). Different from the previous works, environmental noise is introduced into the dynamical system of the duplex network. We incorporate both the inter-layer delay and the intra-layer delay into the dynamical system. Both of the delays are time-varying. However, the paper [1] only considered the intra-layer delays and they are assumed as the constants. While the paper [2] did not consider the inter-layer delay or intra-layer delay. When the system does not achieve automatic intra-layer synchronization, we introduce two controllers: one is the state-feedback controller, the other is the adaptive state-feedback controller. Interestingly, we find that the intra-layer synchronization will achieve automatically if the inter-layer coupling strength $c_1$ is large enough when the time-varying inter-layer delays are absent. Finally, some interesting simulation results are obtained for the Chua-Chua chaotic system with application of our theoretic results, which show the feasibility effectiveness of our control schemes.

scholarly journals Memory State Feedback Control for Time-Varying Delay Switched Fuzzy Systems

2019 ◽  
Vol 2019 ◽  
pp. 1-14 ◽  
Author(s):  
Le Zhang ◽  
Meiyu Jia ◽  
Hong Yang ◽  
Gang Wu
Keyword(s):  
Fuzzy Systems ◽  
State Feedback ◽  
Feedback Controller ◽  
State Feedback Control ◽  
Time Varying ◽  
Memory State ◽  
State Feedback Controller ◽  
Time Varying Delay ◽  
Memory State Feedback ◽  
Varying Delay

Consider the problem of memoryless state feedback controller for time-delay system, which cannot consider both the memoryless and the memory items in the system. Therefore, the memoryless state feedback controller has certain limitations and is more conservative. This paper addresses the memory state feedback control for the time-varying delay switched fuzzy systems based on T-S fuzzy model to overcome the problem discussed above. The state vector and input of the time-varying delay systems contain unknown time-varying delay with known bounds. The designed controller whose parameters are solvable can introduce past state information and reduce the system conservativeness. The more general Lyapunov-Krasovskii functional is selected and the switching law is designed in order to analyze the open-loop system stability, and the memory state feedback controller is designed for the closed-loop system and the criterion for its asymptotic stability. Discuss the solvability of the above two criteria. Finally, a numerical example is given. The simulation results show that the proposed method is more feasible and effective.

Robust Control for Networked Control Systems With Admissible Parameter Uncertainties

2005 ◽  
Author(s):  
Kun Ji ◽  
Won-Jong Kim
Keyword(s):  
Control Systems ◽  
Time Delays ◽  
State Feedback ◽  
Controller Design ◽  
Networked Control Systems ◽  
Design Method ◽  
Feedback Controller ◽  
Dynamic State ◽  
Parameter Uncertainties ◽  
State Feedback Controller

In this paper, robust H∞ control problems for networked control systems (NCSs) with network-induced time delays and subject to norm-bounded parameter uncertainties are presented and solved. Based on a new discrete-time model, two approaches of robust controller design are proposed—design of a memoryless state-feedback controller and design of a dynamic state-feedback controller. The proposed memoryless state-feedback controller design method is given in terms of linear matrix inequalities (LMIs), and the delay bound can be computed by using the standard LMI techniques. A numerical example is given to illustrate the feasibility and effectiveness of this methodology. The proposed dynamic state-feedback controller design method is based on a discrete-time Artstein transform. With the sufficient conditions for robust stability and H∞ control developed in this paper, we also derive the upper bound of network-induced time delays and the lower bound of the network date-transmission rate that can be used as a guideline in choosing proper networks as communication media for NCSs. We constructed an NCS test bed to experimentally verify the feasibility and effectiveness of proposed design methodologies.

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