Stochastic tracking control of multivariable nonlinear systems subject to external disturbances

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.

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Design of a Non-Singular Adaptive Integral-Type Finite Time Tracking Control for Nonlinear Systems With External Disturbances

IEEE Access ◽

10.1109/access.2021.3098327 ◽

2021 ◽

Vol 9 ◽

pp. 102091-102103

Author(s):

Khalid A. Alattas ◽

Saleh Mobayen ◽

Sami Ud Din ◽

Jihad H. Asad ◽

Afef Fekih ◽

...

Keyword(s):

Nonlinear Systems ◽

Finite Time ◽

Tracking Control ◽

Integral Type ◽

External Disturbances

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Robust tracking control for a class of multivariable nonlinear systems with input quantization

2017 IEEE/ACIS 16th International Conference on Computer and Information Science (ICIS) ◽

10.1109/icis.2017.7960012 ◽

2017 ◽

Author(s):

Wakeel Khan ◽

Yan Lin ◽

Sarmad Ullah Khan

Keyword(s):

Nonlinear Systems ◽

Tracking Control ◽

Robust Tracking ◽

Robust Tracking Control ◽

Input Quantization ◽

Multivariable Nonlinear Systems

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

Transactions of the Institute of Measurement and Control ◽

10.1177/0142331219834603 ◽

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.

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