Robust Tracking Control of a Class of Switched Nonlinear Systems With Input Delay Under Asynchronous Switching

2017 ◽  
Vol 140 (6) ◽  
Author(s):  
Saeed Pezeshki ◽  
Mohammad Ali Badamchizadeh ◽  
Amir Rikhtehgar Ghiasi ◽  
Sehraneh Ghaemi
Keyword(s):  
Nonlinear Systems ◽  
Tracking Control ◽  
State Feedback Control ◽  
Input Delay ◽  
Linear Matrix ◽  
Switched Nonlinear Systems ◽  
Asynchronous Switching ◽  
Model Reference ◽  
Reference Tracking ◽  
Robust Model

This paper concerns the problems of stability and robust model reference tracking control for a class of switched nonlinear systems with input delay under asynchronous switching. By proposing a new Lyapunov–Krasovskii functional, and using free-weighting matrices and average dwell-time (ADT) technique, new input-to-state stability (ISS) conditions are derived in terms of linear matrix inequalities (LMIs) under a certain delay bound. Then, robust model reference tracking control problem is studied based on the proposed Lyapunov–Krasovskii functional; Finally a kind of state feedback control law which guarantees robust model reference tracking performance is proposed. Illustrative examples are presented to demonstrate the efficacy and feasibility of results.

Stability analysis and robust tracking control for a class of switched nonlinear systems with uncertain input delay

2018 ◽  
Vol 41 (7) ◽  
pp. 2053-2063 ◽  
Author(s):  
Saeed Pezeshki ◽  
Mohammad Ali Badamchizadeh ◽  
Amir Rikhtehgar Ghiasi ◽  
Sehraneh Ghaemi
Keyword(s):  
Nonlinear Systems ◽  
Lyapunov Function ◽  
Control Problem ◽  
Tracking Control ◽  
State Feedback Control ◽  
Input Delay ◽  
Switched Nonlinear Systems ◽  
Robust Tracking Control ◽  
Piecewise Lyapunov Function ◽  
Uncertain Input

In this paper, the stability issue and tracking control problem for a class of switched nonlinear systems with uncertain input delay and disturbance are investigated. First, it is assumed a piecewise Lyapunov function exists for the nominal system (system without input delay and disturbance), and then, under the terms of the hypothetical piecewise Lyapunov function, a new Lyapunov-Krasovskii functional is constructed. By employing this new function and a switching signal which satisfies the average dwell time, the delay-dependent input-to-state stability under a certain delay bound is provided; also, a mechanism is invented to find the upper bound for input delay of switched system. In the next step, tracking control problem for this system is studied. Finally, a kind of state feedback control law which ensures conditions of aforesaid hypothetical piecewise Lyapunov function is proposed to guarantee the input-to-state stability and the robust model reference tracking performance. Simulation examples are given to illustrate the effectiveness of the proposed strategy.

Robust Output Tracking Control for a Class of Uncertain Switched Nonlinear Systems

2013 ◽  
Vol 135 (3) ◽  
Author(s):  
Xiao X. Dong ◽  
Jun Zhao
Keyword(s):  
Nonlinear Systems ◽  
Tracking Control ◽  
Control Method ◽  
Design Method ◽  
Average Dwell Time ◽  
Variable Structure ◽  
Linear Matrix ◽  
Switched Nonlinear Systems ◽  
Output Tracking ◽  
Output Tracking Control

This paper is devoted to the problem of robust output tracking control for uncertain cascade switched nonlinear systems with external disturbances. A sufficient condition for the output tracking problem of switched systems to be solvable is given in terms of the average dwell-time scheme and linear matrix inequalities where no solvability of the output tracking control problem for all subsystems is assumed. The controllers are designed based on a variable structure control method in order to conquer the uncertainties. Simulations illustrate the effectiveness of the proposed robust tracking design method.

scholarly journals Robust model reference tracking control for interval type-2 fuzzy stochastic systems

2020 ◽  
Vol 14 (9) ◽  
pp. 1123-1134
Author(s):  
Ramasamy Kavikumar ◽  
Rathinasamy Sakthivel ◽  
Oh-Min Kwon ◽  
Boomipalagan Kaviarasan
Keyword(s):  
Tracking Control ◽  
Stochastic Systems ◽  
Model Reference ◽  
Reference Tracking ◽  
Robust Model ◽  
Interval Type

New results on observer-based robust preview tracking control for Lipschitz nonlinear systems

2020 ◽  
pp. 107754632095365
Author(s):  
Xiao Yu ◽  
Fucheng Liao ◽  
Li Li
Keyword(s):  
Nonlinear Systems ◽  
Linear Matrix Inequality ◽  
Tracking Control ◽  
Reference Signal ◽  
State Feedback Control ◽  
Control Action ◽  
Linear Matrix ◽  
Matrix Inequality ◽  
Integral Control ◽  
Lipschitz Nonlinear Systems

In this article, the observer-based robust preview tracking control problem is revisited for discrete-time Lipschitz nonlinear systems. The proposed observer-based preview control scheme is composed of the integral control action, the observer-based state feedback control action, and the preview feedforward action of the reference signal. Sufficient design condition of controller and observer gains, which are able to ensure the simultaneously convergence of both the estimation error and the tracking error toward zero, is established in terms of linear matrix inequality by applying the Lyapunov function approach and several mathematical techniques. Compared with the existing result, the system model is more general, which could describe a larger range of practical processes. The observer-based preview controller design is simplified by computing the gain matrices of both observer and tracking controller simultaneously by only one-step linear matrix inequality procedure. Robustness against external disturbance is analyzed via the H∞ performance criterion to attenuate its effect on the performance signal. Finally, two numerical examples are provided to demonstrate the effectiveness of the suggested controller.

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