Quantized Output-Feedback Control for a Class of Discrete-Time Nonlinear NCSs with Time Delays and Packet Dropouts

2012 ◽  
Vol 263-266 ◽  
pp. 828-833
Author(s):  
Wen Ling Huang ◽  
Xiong Bo Wan ◽  
Hua Jing Fang
Keyword(s):  
Output Feedback ◽  
Time Delays ◽  
Output Feedback Control ◽  
Networked Control System ◽  
Linear Matrix ◽  
Packet Dropout ◽  
Matrix Inequality ◽  
Nonlinear Controller ◽  
Controlled System ◽  
Lipschitz Nonlinearity

A new networked control system is modeled, which has global Lipschitz nonlinearity and network-induced uncertainty including time delay, packet dropout and quantization simultaneously. Then, a class of mode-dependent nonlinear controller is designed, which can effectively eliminate the effects of the uncertainty and ensure the stochastic stability of the controlled system. Furthermore, a linear matrix inequality (LMI) is established and proved, which is a sufficient condition for the existence of the desired controller. According to the LMI, the controller can be explicitly given. Finally, an illustrative example is given to show the validity and practicability.

Passive output feedback control for non-linear systems with time delays

2009 ◽  
Vol 223 (6) ◽  
pp. 737-743 ◽  
Author(s):  
X Luan ◽  
F Liu ◽  
P Shi
Keyword(s):  
Feedback Control ◽  
Linear Systems ◽  
Output Feedback ◽  
Time Delays ◽  
Passive Control ◽  
Output Feedback Control ◽  
Design Tool ◽  
Linear Matrix ◽  
Non Linear ◽  
Non Linear Systems

This paper focuses on the passive output feedback control problem for a class of non-linear systems with time delays. By using multilayer neural networks as an off-line-aided design tool, a dynamic output feedback controller with certain dissipation is developed using the passive control theory in terms of linear matrix inequalities (LMIs), which guarantees the closed-loop system asymptotically stable and strictly passive. It is shown that the solvability of the passive controller design problem is implied by the feasibility of LMIs. A numerical example is given to demonstrate the validity of the proposed approach.

scholarly journals Static Output-Feedback Control for Vehicle Suspensions: A Single-Step Linear Matrix Inequality Approach

2013 ◽  
Vol 2013 ◽  
pp. 1-12 ◽  
Author(s):  
Josep Rubió-Massegú ◽  
Francisco Palacios-Quiñonero ◽  
Josep M. Rossell ◽  
Hamid Reza Karimi
Keyword(s):  
Feedback Control ◽  
Output Feedback ◽  
Output Feedback Control ◽  
Vehicle Suspension ◽  
Linear Matrix ◽  
Static Output Feedback ◽  
Matrix Inequality ◽  
Feedback Controllers ◽  
Feedback Information ◽  
Static Output

In this paper, a new strategy to design static output-feedback controllers for a class of vehicle suspension systems is presented. A theoretical background on recent advances in output-feedback control is first provided, which makes possible an effective synthesis of static output-feedback controllers by solving a single linear matrix inequality optimization problem. Next, a simplified model of a quarter-car suspension system is proposed, taking the ride comfort, suspension stroke, road holding ability, and control effort as the main performance criteria in the vehicle suspension design. The new approach is then used to design a static output-feedbackH∞controller that only uses the suspension deflection and the sprung mass velocity as feedback information. Numerical simulations indicate that, despite the restricted feedback information, this static output-feedbackH∞controller exhibits an excellent behavior in terms of both frequency and time responses, when compared with the corresponding state-feedbackH∞controller.

scholarly journals Characterization of the dual problem of linear matrix inequality for H-infinity output feedback control problem via facial reduction

2020 ◽  
Vol 32 (3) ◽  
pp. 361-384
Author(s):  
Hayato Waki ◽  
Noboru Sebe
Keyword(s):  
Feedback Control ◽  
Linear Matrix Inequality ◽  
Output Feedback ◽  
Dual Problem ◽  
Output Feedback Control ◽  
Optimal Solution ◽  
Linear Matrix ◽  
Matrix Inequality ◽  
Facial Reduction ◽  
Strict Feasibility

Abstract This paper deals with the minimization of $$H_\infty $$ H ∞ output feedback control. This minimization can be formulated as a linear matrix inequality (LMI) problem via a result of Iwasaki and Skelton 1994. The strict feasibility of the dual problem of such an LMI problem is a valuable property to guarantee the existence of an optimal solution of the LMI problem. If this property fails, then the LMI problem may not have any optimal solutions. Even if one can compute parameters of controllers from a computed solution of the LMI problem, then the computed $$H_\infty $$ H ∞ norm may be very sensitive to a small change of parameters in the controller. In other words, the non-strict feasibility of the dual tells us that the considered design problem may be poorly formulated. We reveal that the strict feasibility of the dual is closely related to invariant zeros of the given generalized plant. The facial reduction is useful in analyzing the relationship. The facial reduction is an iterative algorithm to convert a non-strictly feasible problem into a strictly feasible one. We also show that facial reduction spends only one iteration for so-called regular $$H_\infty $$ H ∞ output feedback control. In particular, we can obtain a strictly feasible problem by using null vectors associated with some invariant zeros. This reduction is more straightforward than the direct application of facial reduction.

Linear matrix inequality-based model matching H2 output feedback control of a new leak tightness machine working based on hydrostatic pressure aging method

2017 ◽  
Vol 40 (5) ◽  
pp. 1711-1725
Author(s):  
Barış Can Yalçın ◽  
Ahmet Koyun
Keyword(s):  
Hydrostatic Pressure ◽  
Feedback Control ◽  
Linear Matrix Inequality ◽  
Output Feedback ◽  
Output Feedback Control ◽  
Linear Matrix ◽  
Test Machine ◽  
Matrix Inequality ◽  
Model Matching ◽  
Leak Tightness

Fluid leaks owing to broken pipes can be a serious problem for any hydraulic system. The main reasons for pipe breakage are spontaneously changing hydrostatic and hydrodynamic pressure values inside the pipe or faults occurring during the pipe manufacturing process. Therefore, different kinds of leak tightness tests are required in many standards for approval of the pipes used in both academic researches and industrial applications. Hydrostatic pressure aging is the most common method among leak tightness test procedures. However, conventional test machines cannot reach above 700 bar owing to their mechanical specifications. In this study, the design of a new leak tightness test machine that can reach above 1200 bar and its Linear matrix inequality-based model matching H2 output feedback control have been achieved. The efficacy of the test machine and proposed controller have been shown with both simulation and experimental results.

Robust H∞ Output Feedback Control Design for Takagi-Sugeno Systems with Markovian Jumps: A Linear Matrix Inequality Approach

2006 ◽  
Vol 128 (3) ◽  
pp. 617-625 ◽  
Author(s):  
Sing Kiong Nguang ◽  
Peng Shi
Keyword(s):  
Feedback Control ◽  
Linear Matrix Inequality ◽  
Output Feedback ◽  
Sufficient Conditions ◽  
Output Feedback Control ◽  
Control Design ◽  
Linear Matrix ◽  
Matrix Inequality ◽  
Linear Matrix Inequality Approach ◽  
Takagi Sugeno

This paper investigates the H∞ output feedback control design for a class of uncertain nonlinear systems with Markovian jumps which can be described by Takagi-Sugeno models. Based on a linear matrix inequality (LMI), LMI-based sufficient conditions for the existence of a robust output feedback controller, such that the L2-gain from an exogenous input to a regulated output is less than or equal to a prescribed value, are derived. An illustrative example is used to demonstrate the effectiveness of the proposed design techniques.

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.

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