An H∞ State Feedback Control Law for Launch Vehicles

2014 ◽  
Vol 656 ◽  
pp. 467-475 ◽  
Author(s):  
Adrian Mihail Stoica ◽  
Cristian Emil Constantinescu
Keyword(s):  
Optimal Design ◽  
Feedback Control ◽  
State Feedback ◽  
Sufficient Conditions ◽  
State Feedback Control ◽  
Linear Matrix ◽  
Control Law ◽  
Specific System ◽  
Control Effort ◽  
Improved Stability

This paper presents a new design methodology for the control system of a launch vehicle. The method is based on the $H_\infty$ minimisation of the closed loop configuration obtained with a state feedback control law. Necessary and sufficient conditions for the existence of a state feedback control law minimising the effects of wind disturbances on the angle of attack and the control effort are derived. These conditions are expressed in terms of feasibility of a specific system of linear matrix inequalities. The theoretical developments are illustrated by numerical comparative results indicating that the proposed optimal design approach provides improved stability robustness, disturbances attenuation and tracking performances with respect to non-optimal design methods.

State Feedback Control for Fractional Differential Systems with Riemann-Liouville Derivative

2012 ◽  
Vol 562-564 ◽  
pp. 2053-2056
Author(s):  
Yuan Fang
Keyword(s):  
Feedback Control ◽  
State Feedback ◽  
Sufficient Conditions ◽  
State Feedback Control ◽  
Linear Matrix ◽  
Feedback Controllers ◽  
Differential Systems ◽  
Fractional Differential Systems ◽  
Liouville Derivative ◽  
Fractional Differential

This paper studies state feedback control for fractional differential systems with Riemann-Lιiouville derivative, which matrix A not satisfying the condition ιarg(λ(A))ι>α/2 . Based on the state feedback controllers’ designer, and Linear Matrix Inequality (LMI) apαproach, sufficient conditions for the systems with fraction order α (0<α<1) and α (1≤α<2) obtained respectively.

STATE-FEEDBACK CONTROL OF DISCRETE-TIME STOCHASTIC LINEAR SYSTEMS WITH MARKOVIAN SWITCHING

2020 ◽  
Vol 65 (6) ◽  
pp. 13-22
Author(s):  
Dung Nguyen Trung ◽  
Thu Tran Thi
Keyword(s):  
Feedback Control ◽  
Discrete Time ◽  
State Feedback ◽  
Transition Probabilities ◽  
Sufficient Conditions ◽  
State Feedback Control ◽  
Linear Matrix ◽  
Discrete Time Markov Chain ◽  
Multiplicative Noises ◽  
Stochastic Linear Systems

This paper is concerned with the stabilization problem via state-feedback control of discrete-time jumping systems with stochastic multiplicative noises. The jumping process of the system is driven by a discrete-time Markov chain with finite states and partially known transition probabilities. Sufficient conditions are established in terms of tractable linear matrix inequalities to design a mode-dependent stabilizing state-feedback controller. A numerical example is provided to validate the effectiveness of the obtained result.

Modeling and Fuzzy Control for Complex Flexible Nonlinear Systems with Time-Delay

2014 ◽  
Vol 602-605 ◽  
pp. 920-923
Author(s):  
Ji Xiang Chen
Keyword(s):  
Time Delay ◽  
Feedback Control ◽  
Nonlinear Systems ◽  
Discrete Time ◽  
State Feedback ◽  
Sufficient Conditions ◽  
State Feedback Control ◽  
Linear Matrix ◽  
Control Approach ◽  
Fuzzy State

A time-delay discrete-time fuzzy singularly perturbed modeling and fuzzy state feedback control approach are presented for a class of complex flexible nonlinear systems with time-delay. The considered flexible nonlinear system is firstly described by a time-delay standard discrete-time fuzzy singular perturbation model. A fuzzy state feedback control law is secondly design. By using a matrix spectral norm and linear matrix inequalities approach, the sufficient conditions of the controller existence are divided. The provided controller not only can stabilize the resulting closed-loop system but also overcome the effects caused by both time-delay and external disturbances. A simulation example is given to illustrate the effectiveness of the developed result.

scholarly journals An Offline Formulation of MPC for LPV Systems Using Linear Matrix Inequalities

2014 ◽  
Vol 2014 ◽  
pp. 1-13 ◽  
Author(s):  
P. Bumroongsri
Keyword(s):  
Feedback Control ◽  
State Feedback ◽  
State Feedback Control ◽  
Linear Matrix ◽  
Control Law ◽  
Time Varying ◽  
Control Laws ◽  
Lpv Systems ◽  
Parameter Dependent ◽  
Dependent State

An offline model predictive control (MPC) algorithm for linear parameter varying (LPV) systems is presented. The main contribution is to develop an offline MPC algorithm for LPV systems that can deal with both time-varying scheduling parameter and persistent disturbance. The norm-bounding technique is used to derive an offline MPC algorithm based on the parameter-dependent state feedback control law and the parameter-dependent Lyapunov functions. The online computational time is reduced by solving offline the linear matrix inequality (LMI) optimization problems to find the sequences of explicit state feedback control laws. At each sampling instant, a parameter-dependent state feedback control law is computed by linear interpolation between the precomputed state feedback control laws. The algorithm is illustrated with two examples. The results show that robust stability can be ensured in the presence of both time-varying scheduling parameter and persistent disturbance.

scholarly journals Decentralized Finite-TimeH∞Connective Control for a Class of Large-Scale Systems with Different Structural Forms

2015 ◽  
Vol 2015 ◽  
pp. 1-11 ◽  
Author(s):  
Xiaohua Li ◽  
Yang Liu ◽  
Xiaoping Liu
Keyword(s):  
Feedback Control ◽  
Finite Time ◽  
Large Scale ◽  
State Feedback ◽  
Sufficient Conditions ◽  
Original System ◽  
State Feedback Control ◽  
Control Law ◽  
Interconnected System ◽  
The One

Decentralized finite-timeH∞connective control problem for a class of large-scale interconnected systems is studied in this paper. The research aims at two structural forms, namely, the interconnected structure and the one with expanding construction. A new method is proposed to design a decentralized state feedback control law for a large-scale interconnected system so that the closed-loop system is finite-timeH∞connectively bounded. The sufficient conditions for the existence of such a decentralized control law are deduced by using LMI method. Another method is presented for a large-scale interconnected system with expanding construction which can be used without changing the decentralized state feedback control law of the original system to design a controller for the newly added subsystem so that both the new subsystem and the resulting expanded system are finite-timeH∞connectively bounded. The feasibility and effectiveness of the proposed method are verified by some simulation results.

scholarly journals The Practical Stabilization for a Class of Networked Systems with Actuator Saturation and Input Additive Disturbances

2012 ◽  
Vol 2012 ◽  
pp. 1-19 ◽  
Author(s):  
Dongyan Chen ◽  
Shanqiang Li ◽  
Yujing Shi
Keyword(s):  
Feedback Control ◽  
Riccati Equation ◽  
State Feedback ◽  
Actuator Saturation ◽  
Sufficient Conditions ◽  
State Feedback Control ◽  
Control Law ◽  
Equation Approach ◽  
Linear State ◽  
Practical Stabilization

The practical stabilization problem is investigated for a class of linear systems with actuator saturation and input additive disturbances. Firstly, the case of the input additive disturbance being a bounded constant and a variety of different situations of system matrices are studied for the three-dimensional linear system with actuator saturation, respectively. By applying the Riccati equation approach and designing the linear state feedback control law, sufficient conditions are established to guarantee the semiglobal practical stabilization or oscillation for the addressed system. Secondly, for the case of the input additive disturbances being time-varying functions, a more general class of systems with actuator saturation is investigated. By employing the Riccati equation approach, a low-and-high-gain linear state feedback control law is designed to guarantee the global or semiglobal practical stabilization for the closed-loop systems.

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.

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