Optimal Output Tracking Control for Nonlinear Systems with External Disturbances Based on Stability Degree Constraint

2012 ◽  
Vol 433-440 ◽  
pp. 4662-4668
Author(s):  
De Xin Gao ◽  
Rui Wei ◽  
Bao Tong Cui ◽  
Bao Lin Zhang
Keyword(s):  
Nonlinear Systems ◽  
Tracking Control ◽  
External Disturbances ◽  
Output Tracking ◽  
Stability Degree ◽  
Optimal Output ◽  
Output Tracking Control ◽  
Degree Constraint ◽  
Mean Square Convergence ◽  
The Cost

This paper considers the optimal output tracking control problem for nonlinear systems affected by external disturbances based on stability degree constraint. The objective is to find an optimal output tracking controller, by which the cost function minimum and the state with the optimal having a higher mean-square convergence rate can be obtained. An optimal output tracking law is derived from a Riccati equation and Matrix equations. We give the existence and uniqueness conditions of the control law. Finally, a practical example is given to illustrate the effectiveness of the theory.

Incremental passivity-based H∞ output tracking control for switched nonlinear systems

2019 ◽  
Vol 41 (13) ◽  
pp. 3600-3611
Author(s):  
Shuo Liu ◽  
Hongbo Pang ◽  
Chensong Li
Keyword(s):  
Nonlinear Systems ◽  
Tracking Control ◽  
Switched System ◽  
Switched Nonlinear Systems ◽  
Feedback Controllers ◽  
External Disturbances ◽  
Switching Law ◽  
Output Tracking ◽  
Output Tracking Control ◽  
State Dependent

This paper is concerned with the problem of H∞ output tracking control for a class of switched nonlinear systems with external disturbances using incremental passivity, even if the problem of H∞ output tracking control for none of subsystems is solvable. First, an incremental passivity concept of switched nonlinear systems without external disturbances is proposed. This incremental passivity property requires each active subsystem is incrementally passive. Then, sufficient conditions to be incrementally passive are given. Second, by resorting to the established incremental passivity theory, a state-dependent switching law and a set of feedback controllers are designed to solve the problem of H∞ output tracking control for a class of switched nonlinear systems with external disturbances. This avoids solving Hamilton-Jacobi (HJ) inequality. Third, a composite state-dependent switching law and the state feedback controllers are designed to solve the H∞ output tracking problem for a class of cascaded switched nonlinear systems with external disturbances. The designed composite switching law allows the driven switched system and the driving switched system switch asynchronously. Finally, two examples are provided to verify the effectiveness of the proposed method.

Output tracking control of high-order nonlinear systems with dynamic uncertainties

2019 ◽  
Vol 42 (8) ◽  
pp. 1511-1520
Author(s):  
Zong-Yao Sun ◽  
Yu-Jie Gu ◽  
Qinghua Meng ◽  
Wei Sun ◽  
Zhen-Guo Liu
Keyword(s):  
Nonlinear Systems ◽  
Tracking Control ◽  
Tracking Error ◽  
High Order ◽  
Approximation Technique ◽  
Zero Dynamic ◽  
Adding A Power Integrator ◽  
Output Tracking ◽  
Output Tracking Control ◽  
Dynamic Uncertainties

This paper investigates the output tracking control problem for a class of nonlinear systems with zero dynamic. On the basis of adding a power integrator method and approximation technique, an appropriate controller is proposed to guarantee that the tracking error turns to a preassigned neighborhood of the origin. The systems under investigation allow unmeasurable dynamic uncertainties, unknown nonlinear functions and unknown high-order terms. As an application, two examples are provided to illustrate the effectiveness of a control strategy.

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