Output-sliding control for a class of nonlinear systems

Area of Science:

• Control Engineering
• Nonlinear Systems Theory
• Systems and Control

Background:

• Nonlinear multivariable systems present significant control challenges due to complex dynamics and uncertainties.
• Existing control strategies may struggle to guarantee finite-time convergence and robust tracking in the presence of system variations.

Purpose of the Study:

• To develop a systematic output-sliding control design methodology for nonlinear multivariable systems.
• To address the challenges posed by system uncertainties in achieving precise output tracking.

Main Methods:

• A control law combining continuous nominal control and discontinuous switching control was designed.
• The nominal control handles systems with zero uncertainties, while switching control addresses nonzero uncertainties.
• The methodology ensures system state trajectories converge to a predefined switching surface in finite time.

Main Results:

• Simulation results demonstrate the effectiveness of the proposed switching control law.
• The control strategy successfully drives system state trajectories onto the switching surface within a finite time.
• Accurate output tracking was achieved, validating the control design methodology.

Conclusions:

• The presented output-sliding control design is systematic and effective for nonlinear multivariable systems.
• The proposed control law ensures finite-time convergence and robust output tracking.
• This methodology offers a reliable approach for controlling complex uncertain systems.