Optimal dynamic output feedback control of Lipschitz nonlinear systems under input saturation

2021 ◽  
pp. 107754632110433
Author(s):  
Majid Shahbazzadeh ◽  
Homa Salehifar ◽  
S Jalil Sadati
Keyword(s):  
Nonlinear Systems ◽  
Output Feedback ◽  
Input Saturation ◽  
Output Feedback Control ◽  
Linear Matrix ◽  
Dynamic Output Feedback ◽  
Matrix Inequality ◽  
Dynamic Output ◽  
Optimal Dynamic ◽  
Dynamic Output Feedback Controller

In this study, the problem of optimal guaranteed cost control (OGCC) for nonlinear systems under input saturation is investigated. The purpose is to design a dynamic output feedback controller such that the closed-loop system is asymptotically stable and the upper bound of the cost function is minimized. Moreover, the designed controller ensures that the control signals do not exceed their permissible values. This leads to an optimization problem with bilinear matrix inequality (BMI) constraints. The BMI conditions are converted into the linear matrix inequality conditions by using some technical lemmas for straightforward computation of the controller matrices. The simulation results show the effectiveness and advantages of the proposed theoretical results.

H∞ Dynamic output feedback control of LPV time-delay systems via dilated linear matrix inequalities

2018 ◽  
Vol 41 (2) ◽  
pp. 552-559 ◽  
Author(s):  
Imen Nejem ◽  
Mohamed Hechmi Bouazizi ◽  
Faouzi Bouani
Keyword(s):  
Linear Matrix Inequality ◽  
Output Feedback ◽  
Linear Matrix ◽  
Dynamic Output Feedback ◽  
Matrix Inequality ◽  
Matrix Inequalities ◽  
Linear Parameter Varying ◽  
Dynamic Output ◽  
Dynamic Output Feedback Controller ◽  
Delay Dependent

This paper uses the linear matrix inequality dilation approach to deal with robust stability and H∞ dynamic output feedback controller synthesis for linear parameter varying delayed systems with variable delay. This approach can express the original non-convex problem in terms of convex linear matrix inequalities and consequently reduces the conservatism of linear matrix inequality synthesis without dilation. Both delay-dependent stability and H∞ performance are studied in a quadratic context. Furthermore, a Lyapunov–Krasovskii functional is used to derive a delay-dependent criterion formulated in terms of a linear matrix inequality that will be used to search for an H∞ linear parameter varying delayed dynamic output feedback controller. To achieve this aim we use an integral inequality which plays a key role in the derivation of this criterion and enables the reduction of the H∞ cost in comparison to other results.

scholarly journals Quantized Passive Dynamic Output Feedback Control with Actuator Failure

2016 ◽  
Vol 2016 ◽  
pp. 1-10
Author(s):  
Zu-Xin Li ◽  
Ke-Xia Zhou ◽  
Yan-Feng Wang ◽  
Hui-Ying Chen ◽  
Yi Qian
Keyword(s):  
Feedback Control ◽  
Output Feedback ◽  
Fuzzy Controller ◽  
Output Feedback Control ◽  
Sufficient Condition ◽  
Dynamic Output Feedback ◽  
Actuator Failures ◽  
Dynamic Output ◽  
Measurement Output ◽  
Dynamic Output Feedback Controller

This paper investigates the problem of passive dynamic output feedback control for fuzzy discrete nonlinear systems with quantization and actuator failures, where the measurement output of the system is quantized by a logarithmic quantizer before being transferred to the fuzzy controller. By employing the fuzzy-basis-dependent Lyapunov function, sufficient condition is established to guarantee the closed-loop system to be mean-square stable and the prescribed passive performance. Based on the sufficient condition, the fuzzy dynamic output feedback controller is proposed for maintaining acceptable performance levels in the case of actuator failures and quantization effects. Finally, a numerical example is given to show the usefulness of the proposed method.

scholarly journals A 2D system approach to the design of a robust modified repetitive-control system with a dynamic output-feedback controller

2014 ◽  
Vol 24 (2) ◽  
pp. 325-334 ◽  
Author(s):  
Lan Zhou ◽  
Jinhua She ◽  
Shaowu Zhou
Keyword(s):  
Control System ◽  
Output Feedback ◽  
Repetitive Control ◽  
Feedback Controller ◽  
Linear Matrix ◽  
Control Input ◽  
Dynamic Output Feedback ◽  
Output Feedback Controller ◽  
Dynamic Output ◽  
Dynamic Output Feedback Controller

Abstract This paper is concerned with the problem of designing a robust modified repetitive-control system with a dynamic output feedback controller for a class of strictly proper plants. Employing the continuous lifting technique, a continuous-discrete two-dimensional (2D) model is built that accurately describes the features of repetitive control. The 2D control input contains the direct sum of the effects of control and learning, which allows us to adjust control and learning preferentially. The singular-value decomposition of the output matrix and Lyapunov stability theory are used to derive an asymptotic stability condition based on a Linear Matrix Inequality (LMI). Two tuning parameters in the LMI manipulate the preferential adjustment of control and learning. A numerical example illustrates the tuning procedure and demonstrates the effectiveness of the method.

scholarly journals Dynamic Output Feedback Control of Discrete Markov Jump Systems based on Event-Triggered Mechanism

2018 ◽  
Vol 2018 ◽  
pp. 1-9
Author(s):  
Zhen Zhao ◽  
Jinfeng Gao ◽  
Tingting Zhang
Keyword(s):  
Time Delay ◽  
Output Feedback ◽  
Sufficient Conditions ◽  
Output Feedback Control ◽  
Linear Matrix ◽  
Dynamic Output Feedback ◽  
Markov Jump ◽  
System A ◽  
Dynamic Output ◽  
Event Triggered

This paper is devoted to the co-design strategy of event-triggered scheme and dynamic output feedback controller for a class of discrete-time networked control systems (NCSs) with random time delay. An event-triggered mechanism is given to ease the information transmission. Both the sensor and controller are set with mode-dependent quantizers in the system. A Markov process is used to model the time delay which is used to describe the quantization density. By employing the Lyapunov-Krasovskii functional and linear matrix inequality (LMI), sufficient conditions are obtained for the system. A specific example is given to demonstrate the proposed approach.

scholarly journals Co-Design of Event Generator and Dynamic Output Feedback Controller for LTI Systems

2015 ◽  
Vol 2015 ◽  
pp. 1-7
Author(s):  
Dan Ma ◽  
Junxian Han ◽  
Dali Zhang ◽  
Yanjun Liu
Keyword(s):  
Output Feedback ◽  
Linear Time ◽  
Feedback Controller ◽  
Linear Matrix ◽  
Event Generator ◽  
Dynamic Output Feedback ◽  
Output Feedback Controller ◽  
Dynamic Output ◽  
Dynamic Output Feedback Controller ◽  
Event Triggered

This paper presents a co-design method of the event generator and the dynamic output feedback controller for a linear time-invariant (LIT) system. The event-triggered condition on the sensor-to-controller and the controller-to-actuator depends on the plant output and the controller output, respectively. A sufficient condition on the existence of the event generator and the dynamic output feedback controller is proposed and the co-design problem can be converted into the feasibility of linear matrix inequalities (LMIs). The LTI system is asymptotically stable under the proposed event-triggered controller and also reduces the computing resources with respect to the time-triggered one. In the end, a numerical example is given to illustrate the effectiveness of the proposed approach.

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