Output Feedback Stabilizing Control With an H∞ Bound on Disturbance Attenuation

1993 ◽  
Vol 115 (3) ◽  
pp. 531-535 ◽  
Author(s):  
B. C. Fabien
Keyword(s):  
Closed Loop ◽  
Controller Design ◽  
Continuation Method ◽  
Sufficient Conditions ◽  
Disturbance Attenuation ◽  
Mixed Norm ◽  
Stabilizing Controller ◽  
Stabilizing Controllers ◽  
Controller Gain ◽  
Loop Transfer Function

This paper considers the design of direct output static and dynamic stabilizing controllers for linear systems. Here, the controllers that stabilize the closed-loop system must satisfy an H∞ disturbance attenuation constraint. Sufficient conditions for the existence of such controllers are presented in the form of two coupled nonlinear matrix equations. These conditions are derived by solving a mixed-norm H2/H∞ optimal control problem. The solution of these equations via a continuation method is also presented. Using the solution algorithm, a fixed order stabilizing controller gain matrix that minimizes the H∞ norm of the closed-loop transfer function can be computed. The controller design technique is applied to the vertical dynamics of an aircraft. It is shown that the performance of the reduced order controllers designed using the technique proposed in this paper is superior to that of full order controllers obtained using the standard LQG approach.

scholarly journals Vibration-Attenuation Controller Design for Uncertain Mechanical Systems with Input Time Delay

2016 ◽  
Vol 2016 ◽  
pp. 1-7 ◽  
Author(s):  
Yuanchun Ding ◽  
Falu Weng ◽  
Xiaohua Jiang ◽  
Minkang Tang
Keyword(s):  
Closed Loop ◽  
Controller Design ◽  
State Space Model ◽  
Mechanical Systems ◽  
Sufficient Conditions ◽  
Uncertain System ◽  
Disturbance Attenuation ◽  
System Model ◽  
Closed Loop System ◽  
Vibration Attenuation

The problems of vibration-attenuation controller design for uncertain mechanical systems with time-varying input delay are of concern in this paper. Firstly, based on matrix transformation, the mechanical system is described as a state-space model. Then, in terms of introducing the linear varying parameters, the uncertain system model is established. Secondly, the LMI-based sufficient conditions for the system to be stabilizable are deduced by utilizing the LMI technique. By solving the obtained LMIs, the controllers are achieved for the closed-loop system to be stable with a prescribed level of disturbance attenuation. Finally, numerical examples are given to show the effectiveness of the proposed theorems.

Non-fragile H∞ flight controller design for large bank-angle tracking manoeuvres

2000 ◽  
Vol 214 (3) ◽  
pp. 157-172 ◽  
Author(s):  
J-S Yee ◽  
G-H Yang ◽  
J L Wang
Keyword(s):  
High Performance ◽  
Closed Loop ◽  
Controller Design ◽  
Disturbance Attenuation ◽  
Large Bank ◽  
Bank Angle ◽  
Closed Loop Systems ◽  
Controller Gain ◽  
Angle Tracking ◽  
High Performance Aircraft

This paper is concerned with the design of non-fragile H∞ output feedback control of a high-performance aircraft similar to F-16 in executing a large bank-angle tracking manoeuvre. The non-fragile H∞ flight controllers are designed to tolerate multiplicative gain variations in the controller matrices. The designs are based on three linear trim models of the high-performance aircraft. From the linear and non-linear simulations, the results show that the resulting closed-loop systems using the non-fragile H∞ flight controllers are robustly stable and have H∞ disturbance attenuation bounds with respect to some admissible controller gain variations. Corresponding performance comparisons with the standard robust design approach show that the resulting closed-loop systems using the standard H∞ flight controllers are unstable under the same controller gain variations.

scholarly journals Finite-Time Vibration-Attenuation Controller Design for Structural Systems with Parameter Uncertainties

2014 ◽  
Vol 6 ◽  
pp. 673174 ◽  
Author(s):  
Yuanchun Ding ◽  
Falu Weng ◽  
Ji Ge ◽  
Liming Liang ◽  
Guoliang Yang
Keyword(s):  
Finite Time ◽  
Closed Loop ◽  
Controller Design ◽  
Sufficient Conditions ◽  
Disturbance Attenuation ◽  
Structural Systems ◽  
Time Stability ◽  
Parameter Uncertainties ◽  
Finite Time Stability ◽  
Vibration Attenuation

The problem of finite-time vibration-attenuation controller design for buildings structural systems with parameter uncertainties is the concern of this paper. The objective of designing controllers is to guarantee the finite-time stability of closed-loop systems with a prescribed level of disturbance attenuation. First, based on matrix transformation, the structural system is described as state-space model, which contains parameter uncertainties. Then, based on finite-time stability analysis method, some sufficient conditions for the existence of finite-time vibration-attenuation controllers are obtained. By solving these conditions, the desired controllers can be obtained for the closed-loop system to be finite-time stable with the performance ∥ z∥2 < γ∥ω∥2. It is shown by the simulation results, that compared with some Lyapunov asymptotic stability results, finite-time stability control can obtain better state responses, especially while the system is under nonzero initial states.

scholarly journals The discrete-time tracking problem with H∞ model matching approach plus integral control

2019 ◽  
Vol 292 ◽  
pp. 01018
Author(s):  
Murat Akın ◽  
Tankut Acarman
Keyword(s):  
Discrete Time ◽  
Closed Loop ◽  
Controller Design ◽  
Model Matching ◽  
Matching Problem ◽  
Design Algorithm ◽  
Integral Control ◽  
Loop Transfer Function ◽  
Model Transfer ◽  
Static Output

In this study, the discrete-time H∞ model matching problem with integral control by using 2 DOF static output feedback is presented. First, the motivation and the problem is stated. After presenting the notation, the two lemmas toward the discrete-time H∞ model matching problem with integral control are proven. The controller synthesis theorem and the controller design algorithm is elaborated in order to minimize the H∞ norm of the closed-loop transfer function and to maximize the closed-loop performance by introducing the model transfer matrix. In following, the discrete-time H∞ MMP via LMI approach is derived as the main result. The controller construction procedure is implemented by using a well-known toolbox to improve the usability of the presented results. Finally, some conclusions are given.

Finite-time dissipative control for networked control systems with hybrid-triggered scheme

2020 ◽  
pp. 014233122094650
Author(s):  
Qian Zhang ◽  
Huaicheng Yan ◽  
Shiming Chen ◽  
Xisheng Zhan ◽  
Xiaowei Jiang
Keyword(s):  
Control Systems ◽  
Finite Time ◽  
Closed Loop ◽  
Controller Design ◽  
Networked Control Systems ◽  
Sufficient Conditions ◽  
Networked Control ◽  
Closed Loop System ◽  
Network Resources ◽  
Dissipative Control

This paper is concerned with the problem of finite-time dissipative control for networked control systems by hybrid triggered scheme. In order to save network resources, a hybrid triggered scheme is proposed, which consists of time-triggered scheme and event-triggered scheme simultaneously. Firstly, sufficient conditions are derived to guarantee that the closed-loop system is finite-time bounded (FTBD) and [Formula: see text] dissipative. Secondly, the corresponding controller design approach is presented based on the derived conditions. Finally, a numerical example is presented to show the effectiveness of the proposed approach.

scholarly journals Delay-Dependent Guaranteed Cost Controller Design for Uncertain Neural Networks with Interval Time-Varying Delay

2012 ◽  
Vol 2012 ◽  
pp. 1-16 ◽  
Author(s):  
M. Rajchakit ◽  
P. Niamsup ◽  
T. Rojsiraphisal ◽  
G. Rajchakit
Keyword(s):  
Neural Networks ◽  
State Feedback ◽  
Closed Loop ◽  
Controller Design ◽  
Sufficient Conditions ◽  
Performance Measure ◽  
State Feedback Control ◽  
Linear Matrix ◽  
Delayed Neural Networks ◽  
Guaranteed Cost

This paper studies the problem of guaranteed cost control for a class of uncertain delayed neural networks. The time delay is a continuous function belonging to a given interval but not necessary to be differentiable. A cost function is considered as a nonlinear performance measure for the closed-loop system. The stabilizing controllers to be designed must satisfy some exponential stability constraints on the closed-loop poles. By constructing a set of augmented Lyapunov-Krasovskii functionals combined with Newton-Leibniz formula, a guaranteed cost controller is designed via memoryless state feedback control, and new sufficient conditions for the existence of the guaranteed cost state feedback for the system are given in terms of linear matrix inequalities (LMIs). Numerical examples are given to illustrate the effectiveness of the obtained result.

scholarly journals Robust Synchronization Controller Design for a Class of Uncertain Fractional Order Chaotic Systems

2016 ◽  
Vol 2016 ◽  
pp. 1-8
Author(s):  
Lin Wang ◽  
Chunzhi Yang
Keyword(s):  
Fractional Order ◽  
Chaotic Systems ◽  
Closed Loop ◽  
Controller Design ◽  
Sufficient Conditions ◽  
Closed Loop System ◽  
Synchronization Problem ◽  
Robust Synchronization ◽  
Lyapunov Stability Criterion ◽  
Theoretical Results

Synchronization problem for a class of uncertain fractional order chaotic systems is studied. Some fundamental lemmas are given to show the boundedness of a complicated infinite series which is produced by differentiating a quadratic Lyapunov function with fractional order. By using the fractional order extension of the Lyapunov stability criterion and the proposed lemma, stability of the closed-loop system is analyzed, and two sufficient conditions, which can enable the synchronization error to converge to zero asymptotically, are driven. Finally, an illustrative example is presented to confirm the proposed theoretical results.

scholarly journals Resilient Finite-Time Controller Design of a Class of Stochastic Nonlinear Systems

2014 ◽  
Vol 2014 ◽  
pp. 1-9
Author(s):  
Zhiguo Yan
Keyword(s):  
Nonlinear Systems ◽  
Finite Time ◽  
State Feedback ◽  
Controller Design ◽  
Sufficient Conditions ◽  
Stochastic Nonlinear Systems ◽  
Matrix Inequalities ◽  
Annular Domain ◽  
Stabilizing Controller ◽  
Time Control

This paper deals with the problem of resilient finite-time control for a class of stochastic nonlinear systems. The notion of finite-time annular domain stability of stochastic nonlinear systems is first introduced. Then, some sufficient conditions are given for the existence of resilient state feedback finite-time annular domain stabilizing controller, which are expressed in terms of matrix inequalities. A double-parameter searching algorithm is proposed to solve these obtained matrix inequalities. Finally, an example is given to illustrate the effectiveness of the developed method.

Nonfragile Guaranteed Cost Control of Discrete-Time Fuzzy Bilinear System With Time-Delay

2014 ◽  
Vol 136 (4) ◽  
Author(s):  
Guo Zhang ◽  
Jun-Min Li ◽  
Yun-Wang Ge
Keyword(s):  
Time Delay ◽  
Discrete Time ◽  
Closed Loop ◽  
Cost Control ◽  
Sufficient Conditions ◽  
Bilinear System ◽  
Guaranteed Cost Control ◽  
Controller Gain ◽  
Guaranteed Cost ◽  
Compensation Approach

This paper focuses on the problem of nonfragile guaranteed cost control for a class of T-S discrete-time fuzzy bilinear systems (DFBS) with time-delay in both states and inputs. Based on the parallel distributed compensation approach, the sufficient conditions are derived such that the closed-loop system is asymptotically stable and the closed-loop performance is no more than a certain upper bound in the presence of the additive controller gain perturbations.

scholarly journals Direct Synthesis Based Fractional Order PID Controller Design for Non - Integer Order Systems with Time Delay

2020 ◽  
Vol 9 (4) ◽  
pp. 1042-1049
Keyword(s):  
Closed Loop ◽  
Controller Design ◽  
Direct Synthesis ◽  
Tuning Parameter ◽  
Method Performance ◽  
Tuning Parameters ◽  
Integer Order ◽  
Loop Transfer Function ◽  
Pid Controller Design ◽  
Fractional Order Pid

Present study focuses on design and implementation of PI𝝀D𝝁 controller to obtain the closed loop response of for non-integer order systems (NIOS). Controller is designed using direct synthesis (DS) method. Performance analysis in terms of IAE, ISE and ITAE is made and compared with that of literature reported methods. Robustness in terms of Maximum Sensitivity (Ms) is also analyzed. Tuning parameters q and 𝝀, are selected with an arbitrary value for set-point trajectory and disturbance rejection. The closed loop response is studied for various non-integer order systems. Tuning parameters with respect to q (adjustable tuning parameter in assumed closed loop transfer function) and 𝝀 are arrived at for different case studies, q varying from 0.05 to 0.5 and 𝝀 varying from 0.5 to 6. FOMCON tool box of Simulink in MATLAB is employed for the simulation study.

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