Guaranteed Cost Control of State-Delay System Based on the Equivalent-Input-Disturbance Approach

2016 ◽  
Vol 20 (2) ◽  
pp. 246-253
Author(s):  
Fang Gao ◽  
◽  
Min Wu ◽  
Jinhua She ◽  
Pan Yu ◽  
...  
Keyword(s):  
Linear Matrix Inequality ◽  
Cost Control ◽  
Guaranteed Cost Control ◽  
Delay System ◽  
Linear Matrix ◽  
Control Law ◽  
Matrix Inequality ◽  
State Delay ◽  
Input Disturbance ◽  
Guaranteed Cost

This paper considers a guaranteed cost control problem for state-delay systems with exogenous disturbances for a proper plant. The equivalent-input-disturbance (EID) approach is extended to be able to handle a state-delay system. A new control law is constructed that incorporates an EID estimate in order to ensure a satisfactory control performance. A stability condition for the closed-loop system is provided in terms of a linear matrix inequality, using the Lyapunov function method. Furthermore, a guaranteed cost control state feedback control law and a state observer are designed, based on the linear matrix inequality (LMI). Two numerical examples are provided to demonstrate the validity of the method.

Reliable Guaranteed Cost Control for Uncertain Time-Lag Systems of Actuator Failures

2010 ◽  
Vol 439-440 ◽  
pp. 960-965
Author(s):  
Wang Ping Lu ◽  
Hai Dong Xu ◽  
Shao Yi Li ◽  
Ling Tao
Keyword(s):  
Cost Control ◽  
Time Lag ◽  
Guaranteed Cost Control ◽  
Linear Matrix ◽  
Control Law ◽  
Matrix Inequality ◽  
Actuator Failures ◽  
Guaranteed Cost ◽  
Uncertain Time ◽  
Designing Method

Focusing on a type of uncertain continual time-lag systems, study on the designing problems of law in reliable guaranteed cost feedback control when actuators are in fault condition of continuous-gain. Apply of the processing method of linear matrix inequality, derived out the condition that reliable guaranteed cost exist, and give out the parameterized representation of all the reliable guaranteed cost control law. In this foundation, we can further obtained the designing method of optimal reliable guaranteed cost control law.

Unfragile Guaranteed-Cost Control of Uncertain State-Delay Sampling System

2014 ◽  
Vol 513-517 ◽  
pp. 4261-4264
Author(s):  
Yu Ping Li ◽  
Chun Ping Ai ◽  
Xue Liang Wang
Keyword(s):  
Control Problem ◽  
Robust Stability ◽  
Cost Control ◽  
Lyapunov Method ◽  
Guaranteed Cost Control ◽  
Sufficient Condition ◽  
Matrix Inequality ◽  
Sampling System ◽  
State Delay ◽  
Guaranteed Cost

The unfragile guaranteed-cost control problem of a class of uncertain state-delay sampled system is discussed. Applying Lyapunov method, and combining the properties of matrix inequality, the sufficient condition of robust stability is given, and the unfragile guaranteed-cost controller is designed. Finally a numerical example illustrates the effectiveness and the availability for the design.

Delay-range-dependent guaranteed cost control for batch processes with state delay

AIChE Journal ◽  
2013 ◽  
Vol 59 (6) ◽  
pp. 2033-2045 ◽  
Author(s):  
Limin Wang ◽  
Shengyong Mo ◽  
Donghua Zhou ◽  
Furong Gao ◽  
Xi Chen
Keyword(s):  
Cost Control ◽  
Guaranteed Cost Control ◽  
Batch Processes ◽  
State Delay ◽  
Guaranteed Cost

Non-Fragile Guaranteed Cost Control for a Class of Uncertain Time-Delay Switched Singular Systems

2013 ◽  
Vol 380-384 ◽  
pp. 639-647
Author(s):  
Yue Sheng Luo ◽  
Man Xu ◽  
Shi Lei Zhang ◽  
Tong Li ◽  
Chun Fang Liu
Keyword(s):  
Time Delay ◽  
Cost Control ◽  
Singular Systems ◽  
Singular System ◽  
Guaranteed Cost Control ◽  
Feasibility Problem ◽  
Linear Matrix ◽  
Cost Index ◽  
Guaranteed Cost ◽  
Uncertain Time

The problem of robustly non-fragile guaranteed cost control for a class of uncertain time-delay switched singular systems under arbitrary switching laws is considered. By means of matrix equivalent transformation and the relationship between the norm and the matrix, based on linear matrix inequality tools, a sufficient condition on the existence of non-fragile guaranteed cost state feedback controllers is derived, which ensures that uncertain time-delay switched singular system is admissible, and a corresponding cost index can be guaranteed. The design problem of the non-fragile guaranteed cost controller can be turned into the feasibility problem of a set of linear matrix inequalities. Finally, an illustrative example is given to demonstrate the effectiveness of proposed method.

An LMI approach to non-fragile robust optimal guaranteed cost control of uncertain 2-D discrete systems with both state and input delays

2016 ◽  
Vol 40 (3) ◽  
pp. 785-804 ◽  
Author(s):  
Akshata Tandon ◽  
Amit Dhawan
Keyword(s):  
Cost Control ◽  
Discrete Systems ◽  
Guaranteed Cost Control ◽  
Linear Matrix ◽  
Closed Loop System ◽  
Parameter Uncertainties ◽  
Convex Optimization Problem ◽  
Guaranteed Cost ◽  
State And Input Delays ◽  
Input Delays

In this paper, we present a solution to the problem of non-fragile robust optimal guaranteed cost control for a class of uncertain two-dimensional(2-D) discrete systems described by the general model (GM) subject to both state and input delays. The parameter uncertainties are assumed norm-bounded. A linear matrix inequality (LMI)-based sufficient condition for the existence of non-fragile robust guaranteed cost controller is established. Furthermore, a convex optimization problem with LMI constraints is proposed to select a non-fragile robust optimal guaranteed cost controller stabilizing the uncertain 2-D discrete system with both state and input delays as well as achieving the least guaranteed cost for the resulting closed-loop system. The effectiveness of the proposed method is demonstrated with an illustrative example.

Guaranteed Cost Control for Fuzzy Bilinear Systems with Uncertain Parameters

2012 ◽  
Vol 433-440 ◽  
pp. 1723-1729
Author(s):  
Ze Feng Gao ◽  
Jun Chen ◽  
Fei Liu
Keyword(s):  
Cost Control ◽  
Fuzzy Controller ◽  
Sufficient Conditions ◽  
Schur Complement ◽  
Guaranteed Cost Control ◽  
Bilinear Systems ◽  
Linear Matrix ◽  
Main Theme ◽  
Control Laws ◽  
Guaranteed Cost

The main theme of this paper is to present robust guaranteed cost control laws for a class of fuzzy bilinear systems (FBS) with parametric uncertainties. First, the piecewise Lyapunov function (PLF) method is utilized to design a fuzzy controller, which ensures the robust asymptotic stability of the closed-loop system, and then the robust guaranteed cost control law is also proposed. Second, based on the Schur complement and some variable transformations, some sufficient conditions are derived to guarantee the stability of the overall fuzzy control system via linear matrix inequalities (LMIs). Finally, a numerical example is utilized to demonstrate the validity and effectiveness of the proposed control scheme.

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