Guaranteed Asymptotic Output Stability for Systems With Constant Disturbances

1987 ◽  
Vol 109 (2) ◽  
pp. 186-189 ◽  
Author(s):  
W. E. Schmitendorf ◽  
B. R. Barmish
Keyword(s):  
Feedback Control ◽  
Linear Systems ◽  
State Feedback ◽  
Initial Conditions ◽  
State Feedback Control ◽  
Control Law ◽  
Uncertain Parameters ◽  
Output Stability ◽  
Linear State ◽  
Parameter Values

For a class of linear systems in which there are uncertain parameters in the system and input matrices, as well as constant additive disturbances, a linear state feedback control law is derived. The only information available about the uncertain parameters is the bounding sets in which they lie. The design guarantees that the specified output approaches zero for all possible parameter values and for all initial conditions. Two examples illustrate the application of the theory.

scholarly journals The Practical Stabilization for a Class of Networked Systems with Actuator Saturation and Input Additive Disturbances

2012 ◽  
Vol 2012 ◽  
pp. 1-19 ◽  
Author(s):  
Dongyan Chen ◽  
Shanqiang Li ◽  
Yujing Shi
Keyword(s):  
Feedback Control ◽  
Riccati Equation ◽  
State Feedback ◽  
Actuator Saturation ◽  
Sufficient Conditions ◽  
State Feedback Control ◽  
Control Law ◽  
Equation Approach ◽  
Linear State ◽  
Practical Stabilization

The practical stabilization problem is investigated for a class of linear systems with actuator saturation and input additive disturbances. Firstly, the case of the input additive disturbance being a bounded constant and a variety of different situations of system matrices are studied for the three-dimensional linear system with actuator saturation, respectively. By applying the Riccati equation approach and designing the linear state feedback control law, sufficient conditions are established to guarantee the semiglobal practical stabilization or oscillation for the addressed system. Secondly, for the case of the input additive disturbances being time-varying functions, a more general class of systems with actuator saturation is investigated. By employing the Riccati equation approach, a low-and-high-gain linear state feedback control law is designed to guarantee the global or semiglobal practical stabilization for the closed-loop systems.

Optimal Sampled–Data State Feedback Control of Linear Systems

2014 ◽  
Vol 47 (3) ◽  
pp. 5556-5561 ◽  
Author(s):  
Matheus Souza ◽  
Gabriela W.G. Vital ◽  
José C. Geromel
Keyword(s):  
Feedback Control ◽  
Linear Systems ◽  
State Feedback ◽  
State Feedback Control ◽  
Sampled Data ◽  
Control Of Linear Systems

scholarly journals Robust H ∞ state-feedback control for linear systems

2017 ◽  
Vol 473 (2200) ◽  
pp. 20160934 ◽  
Author(s):  
Hao Chen ◽  
Zhenzhen Zhang ◽  
Huazhang Wang
Keyword(s):  
Feedback Control ◽  
Linear Systems ◽  
Control Algorithm ◽  
State Feedback ◽  
Convex Combination ◽  
State Feedback Control ◽  
Parameter Uncertainties ◽  
Globally Asymptotically Stable ◽  
Loop Control ◽  
Control Approach

This paper investigates the problem of robust H ∞ control for linear systems. First, the state-feedback closed-loop control algorithm is designed. Second, by employing the geometric progression theory, a modified augmented Lyapunov–Krasovskii functional (LKF) with the geometric integral interval is established. Then, parameter uncertainties and the derivative of the delay are flexibly described by introducing the convex combination skill. This technique can eliminate the unnecessary enlargement of the LKF derivative estimation, which gives less conservatism. In addition, the designed controller can ensure that the linear systems are globally asymptotically stable with a guaranteed H ∞ performance in the presence of a disturbance input and parameter uncertainties. A liquid monopropellant rocket motor with a pressure feeding system is evaluated in a simulation example. It shows that this proposed state-feedback control approach achieves the expected results for linear systems in the sense of the prescribed H ∞ performance.

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