scholarly journals Output feedback control for quadratic systems: A Lyapunov function approach

2021 ◽  
Author(s):  
Eduardo S. Tognetti ◽  
Marc Jungers ◽  
Taís R. Calliero
Keyword(s):  
Feedback Control ◽  
Lyapunov Function ◽  
Output Feedback ◽  
Output Feedback Control ◽  
Function Approach ◽  
Quadratic Systems

Energy-based output feedback control of the underactuated 2DTORA system with saturated inputs

2020 ◽  
Vol 42 (14) ◽  
pp. 2822-2829
Author(s):  
Kexin Xu ◽  
Xianqing Wu ◽  
Miao Ma ◽  
Yibo Zhang
Keyword(s):  
Feedback Control ◽  
Lyapunov Function ◽  
Output Feedback ◽  
Control Method ◽  
Actuator Saturation ◽  
Output Feedback Control ◽  
Lyapunov Theory ◽  
Velocity Signal ◽  
Feedback Control Method ◽  
The Stability

In this paper, we consider the control issues of the two-dimensional translational oscillator with rotational actuator (2DTORA) system, which has two translational carts and one rotational rotor. An output feedback controller for the 2DTORA system is proposed, which can prevent the unwinding behaviour. In addition, the velocity signal unavailability and actuator saturation are taken into account, simultaneously. In particular, the dynamics of the 2DTORA system are given first. On the basis of the passivity and control objectives of the 2DTORA system, an elaborate Lyapunov function is constructed. Then, based on the introduced Lyapunov function, a novel output feedback control method is proposed straightforwardly for the 2DTORA system. Lyapunov theory and LaSalle’s invariance principle are utilized to analyse the stability of the closed-loop system and the convergence of the states. Finally, simulation results are provided to illustrate the excellent control performance of the proposed controller in comparison with the existing method.

Robust H∞ Takagi–Sugeno fuzzy output-feedback control for differential speed steering vehicles

2020 ◽  
Vol 234 (12) ◽  
pp. 2822-2835 ◽  
Author(s):  
Paul Oke ◽  
Sing Kiong Nguang
Keyword(s):  
Feedback Control ◽  
Lyapunov Function ◽  
Electric Vehicles ◽  
Output Feedback ◽  
Controller Design ◽  
Output Feedback Control ◽  
Operating Conditions ◽  
Fuzzy Lyapunov Function ◽  
Takagi Sugeno ◽  
Differential Speed

This paper studied the modelling and control of four-wheel independently driven electric vehicles using differential speed steering. The Takagi–Sugeno fuzzy modelling approach represents the nonlinearities of the four-wheel independently driven electric vehicle state variables in several system models. The proposed controller design is a robust Takagi–Sugeno fuzzy output-feedback control based on a fuzzy Lyapunov function approach. More precisely, the Lyapunov function is chosen to be dependent on the membership functions. Sufficient conditions for the existence of the robust Takagi–Sugeno fuzzy controller are given in terms of linear matrix inequality constraints. The designed parameters are tested by simulating the four-wheel independently driven electric vehicles under varying operating conditions. The simulation results underscore the robustness and disturbance rejection importance of the proposed controller, which is then contrasted to better highlight the improved performance of the proposed approach over a fixed robust controller design.

Admissible Analysis and Synthesis of Markovian Jump Linear Descriptor Systems

2011 ◽  
Vol 216 ◽  
pp. 681-686
Author(s):  
Yue Zhang ◽  
Wei Ni
Keyword(s):  
Feedback Control ◽  
Lyapunov Function ◽  
Output Feedback ◽  
State Feedback ◽  
Output Feedback Control ◽  
Descriptor Systems ◽  
Control Law ◽  
Sufficient Condition ◽  
Markovian Jump ◽  
Analysis And Synthesis

The control problem of Markovian jump linear descriptor systems is considered in this paper. Based on generalized multi-Lyapunov function a sufficient condition to guarantee the admissibility of system is obtained. The state feedback and statistic output feedback control law are then designed also based on the generalized multi-Lyapunov function. All the results are obtained in terms of linear matrices inequalities(LMIS). And a circuit system example is presented to illustrate the usefulness of the main results.

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