Sufficient Conditions for Dynamic State Feedback Linearization

1991 ◽  
Vol 29 (1) ◽  
pp. 38-57 ◽  
Author(s):  
B. Charlet ◽  
J. Lévine ◽  
R. Marino
Keyword(s):  
Feedback Linearization ◽  
State Feedback ◽  
Sufficient Conditions ◽  
Dynamic State

Extended Quadratic Controller Normal Form and Dynamic State Feedback Linearization of Nonlinear Systems

1992 ◽  
Vol 30 (6) ◽  
pp. 1319-1337 ◽  
Author(s):  
Wei Kang ◽  
Arthur J. Krener
Keyword(s):  
Nonlinear Systems ◽  
Normal Form ◽  
Feedback Linearization ◽  
State Feedback ◽  
Dynamic State

Static and dynamic state feedback linearization

1997 ◽  
pp. 93-126 ◽  
Author(s):  
J. Lévine
Keyword(s):  
Feedback Linearization ◽  
State Feedback ◽  
Dynamic State

Singularity in dynamic state feedback linearization

2002 ◽  
Author(s):  
T. Baumann ◽  
B. Srinivasan ◽  
R. Longchamp
Keyword(s):  
Feedback Linearization ◽  
State Feedback ◽  
Dynamic State

Design of fuzzy sliding mode controller for hydraulic turbine regulating system via input state feedback linearization method

Energy ◽  
2015 ◽  
Vol 93 ◽  
pp. 173-187 ◽  
Author(s):  
Xiaohui Yuan ◽  
Zhihuan Chen ◽  
Yanbin Yuan ◽  
Yuehua Huang
Keyword(s):  
Feedback Linearization ◽  
State Feedback ◽  
Sliding Mode ◽  
Hydraulic Turbine ◽  
Linearization Method ◽  
Input State ◽  
Sliding Mode Controller ◽  
Fuzzy Sliding Mode

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.

Fuzzy observer–based disturbance rejection control for nonlinear fractional-order systems with time-varying delay

2021 ◽  
pp. 107754632110069
Author(s):  
Parvin Mahmoudabadi ◽  
Mahsan Tavakoli-Kakhki
Keyword(s):  
Fractional Order ◽  
Disturbance Rejection ◽  
State Feedback ◽  
Sufficient Conditions ◽  
Fuzzy Model ◽  
Linear Matrix ◽  
Delayed Systems ◽  
Fuzzy Observer ◽  
Time Varying Delay ◽  
Takagi Sugeno

In this article, a Takagi–Sugeno fuzzy model is applied to deal with the problem of observer-based control design for nonlinear time-delayed systems with fractional-order [Formula: see text]. By applying the Lyapunov–Krasovskii method, a fuzzy observer–based controller is established to stabilize the time-delayed fractional-order Takagi–Sugeno fuzzy model. Also, the problem of disturbance rejection for the addressed systems is studied via the state-feedback method in the form of a parallel distributed compensation approach. Furthermore, sufficient conditions for the existence of state-feedback gains and observer gains are achieved in the terms of linear matrix inequalities. Finally, two numerical examples are simulated for the validation of the presented methods.

Robust PD State Feedback Controller Design for Uncertain Singular Systems

2011 ◽  
Vol 403-408 ◽  
pp. 3813-3818
Author(s):  
Jian Wu Zhu ◽  
Yuan Chun Ding
Keyword(s):  
State Feedback ◽  
Controller Design ◽  
Singular Systems ◽  
Sufficient Conditions ◽  
Feedback Controller ◽  
State Feedback Controller ◽  
Closed Loop Systems ◽  
Uncertain Singular Systems ◽  
Parameter Dependent ◽  
Robust Stability And Stabilization

This paper is concerned with the problem of robust stability and stabilization of singular systems with uncertainties in both the derivative and state matrices. By using a parameter dependent Lyapunov function, we derive the LMI-based sufficient conditions for the stabilization of the singular systems. Secondly, by solving these LMIs, a proportional plus derivative (PD) state feedback controller is designed for the closed-loop systems to be quadratically normal and quadratically stable (QNQS). Finally, the numerical example is given to show the effectiveness of the proposed theorems.

Input-State Feedback Linearization of a Boost DC/DC Converter

2020 ◽  
pp. 139-153
Author(s):  
Andrea Cervone ◽  
Gianluca Brando
Keyword(s):  
Feedback Linearization ◽  
State Feedback ◽  
Input State
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