Fictitious Reference Signal Based Real-Time Update of State Feedback Gains and its Experimental Verification

2016 ◽  
Vol 28 (5) ◽  
pp. 625-632 ◽  
Author(s):  
Yuki Okano ◽  
◽  
Osamu Kaneko ◽  
Keyword(s):  
Real Time ◽  
State Feedback ◽  
Closed Loop ◽  
Reference Signal ◽  
Parameter Tuning ◽  
Closed Loop Systems ◽  
Recursive Computation ◽  
Optimal Gains ◽  
Past Data ◽  
Time Update

[abstFig src='/00280005/02.jpg' width='300' text='Real-time update of state feedback gains' ] This paper presents a new real-time parameter tuning in the data-driven framework. We focus on the tuning of state feedback gains to realize the desired performance of closed loop systems. For a real-time update tuning of this type of a controller, the notion of fictitious reference signal or the fictitious exogenous signal is utilized to generate the optimal gains in the real-time by using the measured past data. We also explain how the optimization can be realized as a recursive computation in real-time updates. Finally, an experiment is done to verify the effectiveness of the proposed method.

State Feedback Robust H∞ Control for Generalized Discrete System and Simulation

2013 ◽  
Vol 467 ◽  
pp. 621-626
Author(s):  
Chen Fang ◽  
Jiang Hong Shi ◽  
Kun Yu Li ◽  
Zheng Wang
Keyword(s):  
Discrete System ◽  
State Feedback ◽  
Closed Loop ◽  
The State ◽  
Linear Matrix ◽  
Sufficient Condition ◽  
Matrix Inequalities ◽  
Parameter Uncertainties ◽  
Robust Controller ◽  
Closed Loop Systems

For a class of uncertain generalized discrete linear system with norm-bounded parameter uncertainties, the state feedback robust control problem is studied. One sufficient condition for the solvability of the problem and the state feedback robust controller are obtained in terms of linear matrix inequalities. The designed controller guarantees that the closed-loop systems is regular, causal, stable and satisfies a prescribed norm bounded constraint for all admissible uncertain parameters under some conditions. The result of the normal discrete system can be regarded as a particular form of our conclusion. A simulation example is given to demonstrate the effectiveness of the proposed method.

scholarly journals Adaptive Decentralized Control Scheme for a Stochastic Interconnected System

Complexity ◽  
2020 ◽  
Vol 2020 ◽  
pp. 1-11
Author(s):  
Xiaoli Jiang ◽  
Siqi Liu ◽  
Mingyue Liu ◽  
Li Yang ◽  
Lina Liu
Keyword(s):  
State Feedback ◽  
Closed Loop ◽  
Reference Signal ◽  
Network Control ◽  
Neural Network Control ◽  
Neural Structure ◽  
Interconnected System ◽  
Feedback Scheme ◽  
Control Scheme ◽  
Adaptive Decentralized Control

This work investigates a decentralized state feedback scheme of neural network control for an interconnected system. The completely unknown associated terms are estimated directly by the neural structure. A modified approach is proposed to deal with the state feedback format. By combining the Lyapunov function and backstepping technology together, an adaptive decentralized controller is established, and we can construct the boundedness of all signals in the closed-loop structure through the controller, which can drive the formation of a given reference signal. In the end, the effectiveness of the presented strategy is referred to a simulation example.

Reference Signal Shaping for Closed-Loop Systems With Application to Seeking in Hard Disk Drives

2012 ◽  
Vol 20 (2) ◽  
pp. 335-345 ◽  
Author(s):  
Uwe Boettcher ◽  
Dirk Fetzer ◽  
Hui Li ◽  
Raymond A. de Callafon ◽  
Frank E. Talke
Keyword(s):  
Closed Loop ◽  
Reference Signal ◽  
Hard Disk Drives ◽  
Hard Disk ◽  
Disk Drives ◽  
Closed Loop Systems

A New Method of Calculating the State Feedback Gain Vector of Vibration Control System

2012 ◽  
Vol 229-231 ◽  
pp. 424-427
Author(s):  
Ming Yang ◽  
De Chen Zhang ◽  
Xin Xiang Zhou
Keyword(s):  
Vibration Control ◽  
Uncertain Systems ◽  
State Feedback ◽  
Closed Loop ◽  
Random Perturbation ◽  
Feedback Gain ◽  
Uncertain Parameters ◽  
Vibration System ◽  
Deterministic Systems ◽  
Closed Loop Systems

Using the random model, the vibration control problem of structures with uncertain parameters is discussed, which is approximated by a deterministic one. The feedback gain matrix is determined based on the deterministic systems, and then it is applied to the actual uncertain systems. A method to calculate the standard deviations for responses of the closed-loop systems with the uncertain parameters is presented by using the random perturbation. This method is applied to a vibration system to illustrate the application. The numerical results show that the present method is effective.

scholarly journals Finite-Time H2/H∞ Control for Linear Itô Stochastic Systems with x,u,v-Dependent Noise

Complexity ◽  
2018 ◽  
Vol 2018 ◽  
pp. 1-13 ◽  
Author(s):  
Zhiguo Yan ◽  
Shiyu Zhong ◽  
Xingping Liu
Keyword(s):  
Optimization Algorithm ◽  
Finite Time ◽  
Performance Index ◽  
State Feedback ◽  
Closed Loop ◽  
Stochastic Systems ◽  
Transient Performance ◽  
Closed Loop Systems ◽  
Linear Stochastic Systems ◽  
Finite Time Boundedness

This paper deals with the problem of the H2/H∞ control based on finite-time boundedness for linear stochastic systems. The motivation for investigating this problem comes from one observation that the H2/H∞ control does not involve systems’ transient performance. To express this problem clearly, a concept called finite-time H2/H∞ control is introduced. Moreover, state feedback and observer-based finite-time H2/H∞ controllers are designed, which guarantee finite-time boundedness, H2 performance index, and H∞ performance index of the closed-loop systems. Furthermore, an optimization algorithm on the finite-time H2/H∞ control is presented to obtain the minimum values of the H2 index and H∞ index. Finally, we use an example to show the validity of the obtained results.

New Digital Method of Reverse Engineering about Free from Surface

2011 ◽  
Vol 295-297 ◽  
pp. 1065-1069 ◽  
Author(s):  
Xue Ming He ◽  
Ying Xue ◽  
Cheng Gang Li ◽  
Chen Liang Hua ◽  
Yi Lu
Keyword(s):  
Reverse Engineering ◽  
Real Time ◽  
Surface Reconstruction ◽  
Closed Loop ◽  
Measuring Method ◽  
Loop System ◽  
Reconstruction Method ◽  
Closed Loop System ◽  
Reconstructed Surface ◽  
Time Update

In this paper, it is proposed a new method of free-from surface’s reverse engineering, making data acquisition and surface reconstruction form closed loop system, solving no feedback problems in the measuring and modeling process, shortening the time of the whole reverse engineering, improving the quality of reconstructed models. The core of this paper is used the CMM adaptive measuring method and non-uniform b-spline surface reconstruction method, integrating the free-from surface measuring and modeling in a closed loop system, realizing the CMM real-time online measurement and reconstructed surface real-time update.

Mode-dependent robust and non-fragile finite-time H∞ control for nonlinear singular Markovian jump systems

2021 ◽  
pp. 014233122110350
Author(s):  
Hongping Niu ◽  
Lin Li ◽  
Pengnan Wang
Keyword(s):  
Finite Time ◽  
State Feedback ◽  
Closed Loop ◽  
Feedback Controller ◽  
Markovian Jump Systems ◽  
Markovian Jump ◽  
Closed Loop Systems ◽  
Singular Markovian Jump Systems ◽  
Finite Time Boundedness ◽  
Jump Systems

This paper is concerned with the problem of mode-dependent robust and non-fragile finite-time [Formula: see text] control for a class of nonlinear singular Markovian jump systems (NSMJSs) with parameter uncertainties and time-varying norm-bounded disturbance. Some sufficient conditions ensuring the singular stochastic [Formula: see text] finite-time boundedness (SS[Formula: see text]FTB) are developed for the given system by using the stochastic analysis and linear matrix inequality techniques. Then, a finite-time [Formula: see text] state feedback controller is designed, which can guarantee the [Formula: see text] finite-time boundedness of the closed-loop systems. Furthermore, a robust and non-fragile finite-time [Formula: see text] state feedback controller is also provided to ensure the [Formula: see text] finite-time boundedness of the closed-loop systems when the controller gain has an additive perturbation. Finally, two numerical examples are given to illustrate the effectiveness of the obtained results.

Closing the loop

2011 ◽  
pp. 1869-1874
Author(s):  
Roman Hovorka
Keyword(s):  
Type 1 Diabetes ◽  
Real Time ◽  
Closed Loop ◽  
Insulin Delivery ◽  
Insulin Analogues ◽  
Open Loop ◽  
Subcutaneous Insulin ◽  
Closed Loop Systems ◽  
Acting Insulin

The standard therapy of type 1 diabetes is based on multiple daily injections of short- and long acting-insulin analogues accompanied by blood glucose self-monitoring. However, treatment goals identified by the Diabetes Control and Complications Trial are difficult to achieve due, at least in part, to a high risk of hypoglycaemia associated with many currents forms of intensive insulin therapy. Recent technological developments in real-time subcutaneous continuous glucose monitoring (CGM), combined with the continuous subcutaneous insulin infusion (CSII), could potentially reduce this risk. Since late 1990s at least five continuous or semicontinuous glucose monitors have received regulatory approval (1). CGM has been shown to improve glycaemic control in adults with type 1 diabetes, although apparent barriers to effectiveness in children and adolescents remain to be identified (see Chapter 13.4.9.1) (2). The availability of commercial CGM devices has reinvigorated research towards closed-loop systems (3-6), in which insulin is delivered according to real-time needs, as opposed to open-loop systems, which lack real-time responsiveness to changing glucose concentrations. Closed-loop insulin delivery, in which the insulin delivery is informed by the measured glucose concentrations has the potential gradually to revolutionize the management of type 1 diabetes by reducing or eliminating the risk of hypoglycaemia while achieving near-normal glucose levels. A closed-loop system, also called the ‘artificial pancreas’, comprises three components: a CGM device to measure real-time glucose concentration, a titrating algorithm to compute the amount of insulin needed, and an insulin pump delivering a rapid-acting insulin analogue (see Fig. 13.4.9.2.1). Only a few prototypes have been developed. Progress has been hindered by suboptimal accuracy and reliability of CGM devices, the relatively slow absorption of subcutaneously administered ‘rapid’-acting insulin analogues, and the lack of adequate control algorithms. So far, testing has been confined to the clinical setting. However, a concentrated effort promises an accelerated progress towards home testing of closed-loop systems. The research focus centres on systems utilizing subcutaneous glucose sensing and subcutaneous insulin delivery. This approach has the greatest potential for a near-future commercial exploitation, although other approaches utilizing intraperitoneal or intravenous sensing/delivery are, in principle, also feasible.

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