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 Switched H2-state-feedback control with application to a fighter aircraft

2019 ◽  
Vol 233 (14) ◽  
pp. 5428-5437
Author(s):  
Emre Kemer ◽  
Hasan Başak ◽  
Emmanuel Prempain
Keyword(s):  
Feedback Control ◽  
State Feedback ◽  
Linear Time ◽  
State Feedback Control ◽  
Time Varying ◽  
Fighter Aircraft ◽  
Control Laws ◽  
Use Of Time ◽  
External Signals ◽  
Parameter Dependent

This paper proposes two different [Formula: see text]-state-feedback controller synthesis algorithms for uncertain linear, time-varying, switched systems. The synthesis algorithms are based on a dwell-time approach, which makes use of time-varying parameter-dependent Lyapunov functions. The control laws consist of state-feedback controllers that are switched according to external signals. The proposed synthesis algorithms are then employed to design switched [Formula: see text]-state-feedback control laws for the longitudinal dynamics of the ADMIRE fighter benchmark model. The results obtained in simulation show the merits of the proposed approach.

scholarly journals Robust H∞ stabilisation with definite attenuance of an uncertain impulsive switche system

2005 ◽  
Vol 46 (4) ◽  
pp. 471-484 ◽  
Author(s):  
Honglei Xu ◽  
Xinzhi Liu ◽  
Kok Lay Teo
Keyword(s):  
Feedback Control ◽  
Switched Systems ◽  
State Feedback ◽  
The State ◽  
State Feedback Control ◽  
State Model ◽  
Control Law ◽  
Time Varying ◽  
Impulsive Switched Systems ◽  
Bounded Uncertainty

AbstractIn this paper, we study the problem of robust H∞ stabilisation with definite attenuance for a class of impulsive switched systems with time-varying uncertainty. A norm-bounded uncertainty is assumed to appear in all the matrices of the state model. An LMI-based method for robust· H∞ stabilisation with definite attenuance via a state feedback control law is developed. A simulation example is presented to demonstrate the effectiveness of the proposed method.

Robust Absolute Stabilization of Time-Varying Delay Systems with Maximum Admissible Perturbed Bound

2010 ◽  
Vol 40-41 ◽  
pp. 103-110
Author(s):  
Jie Jin
Keyword(s):  
State Feedback ◽  
State Feedback Control ◽  
Delay Systems ◽  
Linear Matrix ◽  
Control Law ◽  
Time Varying ◽  
Time Varying Delay ◽  
Linear State ◽  
Varying Delay ◽  
Nonlinear Delay

This paper is concerned the problem of robust absolute stabilization of time-varying delay systems with admissible perturbation in terms of integral inequality. A linear state-feedback control law is derived for one class of delay systems with sector restriction based on linear matrix inequality (LMI). Especially, this method does not require input terms are absolutely controllable for nonlinear delay systems. Numerical example is used to demonstrate the validity of the proposed method.

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 law for a class of nonlinear time-varying system under unknown time-varying delay

2015 ◽  
Vol 82 (1-2) ◽  
pp. 349-355 ◽  
Author(s):  
Omar Naifar ◽  
Abdellatif Ben Makhlouf ◽  
Mohamed Ali Hammami ◽  
Abderrazak Ouali
Keyword(s):  
Feedback Control ◽  
State Feedback ◽  
State Feedback Control ◽  
Control Law ◽  
Time Varying ◽  
Time Varying Delay ◽  
Varying Delay
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