scholarly journals On finite-time robust stabilization via nonlinear state feedback

2018 ◽  
Vol 28 (16) ◽  
pp. 4951-4965 ◽  
Author(s):  
K. Zimenko ◽  
A. Polyakov ◽  
D. Efimov
Keyword(s):  
Finite Time ◽  
State Feedback ◽  
Robust Stabilization ◽  
Nonlinear State

scholarly journals Finite-Time Stabilization for Stochastic Interval Systems with Time Delay and Application to Energy-Storing Electrical Circuits

Electronics ◽  
2019 ◽  
Vol 8 (2) ◽  
pp. 175 ◽  
Author(s):  
Guici Chen ◽  
Fei Wei ◽  
Wenbo Wang
Keyword(s):  
Delay Interval ◽  
Finite Time ◽  
State Feedback ◽  
Sufficient Conditions ◽  
Electrical Circuit ◽  
Linear Matrix ◽  
Stochastic Delay ◽  
Finite Time Stabilization ◽  
Interval Systems ◽  
Nonlinear State

In this paper, the problem of stochastic finite-time stabilization is investigated for stochastic delay interval systems. A nonlinear state feedback controller with input-to-state delay is introduced. By employing the Lyapunov–Krasovskii functional method, some sufficient conditions on stochastic finite-time stabilization are derived for closed-loop stochastic delay interval systems using the I t o ^ ’s differential formula. Suitable nonlinear state feedback controllers can be designed in terms of linear matrix inequalities. The obtained results are finally applied to an energy-storing electrical circuit to illustrate the effectiveness of the proposed method.

Nonlinear Robust Roll Autopilot Design Using Sum-of-Squares Optimization

2018 ◽  
Vol 140 (11) ◽  
Author(s):  
Sajjad Pak Khesal ◽  
Iman Mohammadzaman
Keyword(s):  
Flight Control ◽  
State Feedback ◽  
Controller Design ◽  
Robust Stabilization ◽  
Sum Of Squares ◽  
Convexity Property ◽  
Roll Control ◽  
Fundamental Part ◽  
Nonlinear State ◽  
Nonlinear Robust

In this paper, we study nonlinear robust stabilization of roll channel of a pursuit using the sum of squares (SOS) technique. Roll control is a fundamental part of flight control for every pursuit. A nonlinear state feedback controller is designed based on a new stability criterion which can be viewed as a dual to Lyapunov's second theorem. This criterion has a convexity property, which is used for controller design with convex optimization. Furthermore, using generalized S-procedure lemma robustness of the controller is guaranteed. The performance of the proposed method for roll autopilot is verified via numerical simulations.

scholarly journals Finite-TimeH∞Control for Time-Delayed Stochastic Systems with Markovian Switching

2014 ◽  
Vol 2014 ◽  
pp. 1-10 ◽  
Author(s):  
Wenhua Gao ◽  
Feiqi Deng ◽  
Ruiqiu Zhang ◽  
Wenhui Liu
Keyword(s):  
Finite Time ◽  
State Feedback ◽  
Stochastic Systems ◽  
Sufficient Conditions ◽  
Markovian Switching ◽  
Time Stability ◽  
Finite Time Stability ◽  
Weighting Matrix ◽  
Simulation Results ◽  
Dependent State

This paper studies the problem of finite-timeH∞control for time-delayed Itô stochastic systems with Markovian switching. By using the appropriate Lyapunov-Krasovskii functional and free-weighting matrix techniques, some sufficient conditions of finite-time stability for time-delayed stochastic systems with Markovian switching are proposed. Based on constructing new Lyapunov-Krasovskii functional, the mode-dependent state feedback controller for the finite-timeH∞control is obtained. Simulation results illustrate the effectiveness of the proposed method.

Controlling Actively Q-Switched Laser Output by Nonlinear State Feedback

2013 ◽  
Vol 53 (4) ◽  
pp. 151-160 ◽  
Author(s):  
M. Thitsa ◽  
W. S. Gray
Keyword(s):  
State Feedback ◽  
Laser Output ◽  
Nonlinear State

scholarly journals A NONLINEAR STATE FEEDBACK APPROACH TO THE CONTROL AND SYNCHRONIZATION OF CONTINUOUS-TIME CHAOTIC SYSTEMS

1999 ◽  
Vol 48 (9) ◽  
pp. 1618
Author(s):  
GAO JIN-FENG ◽  
LUO XIAN-JUE ◽  
MA XI-KUI ◽  
PAN XIU-QIN ◽  
WANG JUN-KUN
Keyword(s):  
Continuous Time ◽  
State Feedback ◽  
Chaotic Systems ◽  
Control And Synchronization ◽  
Nonlinear State
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