Barrier Lyapunov functions for the output tracking control of constrained nonlinear switched systems

2013 ◽  
Vol 62 (10) ◽  
pp. 963-971 ◽  
Author(s):  
Ben Niu ◽  
Jun Zhao
Keyword(s):  
Switched Systems ◽  
Tracking Control ◽  
Lyapunov Functions ◽  
Output Tracking ◽  
Nonlinear Switched Systems ◽  
Output Tracking Control ◽  
Barrier Lyapunov Functions

scholarly journals Composite Disturbance Observer-Based Control andH∞Output Tracking Control for Discrete-Time Switched Systems with Time-Varying Delay

2013 ◽  
Vol 2013 ◽  
pp. 1-12 ◽  
Author(s):  
Haibin Sun ◽  
Linlin Hou
Keyword(s):  
Discrete Time ◽  
Switched Systems ◽  
Tracking Control ◽  
Disturbance Observer ◽  
Time Varying ◽  
Time Varying Delay ◽  
Output Tracking ◽  
Output Tracking Control ◽  
Control Scheme ◽  
Varying Delay

This paper considers the problem ofH∞output tracking control for discrete-time switched systems with time-varying delay and external disturbances. The control scheme combining disturbance observer-based control (DOBC) andH∞control is proposed. The disturbances are assumed to include two parts. One part is generated by an exogenous system, which imposes on system with control inputs in the same channel. The other part is supposed to have the boundedH2norm. A new disturbance observer is developed to estimate and reject the first case disturbances for switched system with time-varying delay, and the second case disturbances are attenuated byH∞control scheme. The stability analysis of the closed-loop system is developed by switched Lyapunov function, and a solvable delay-dependent sufficient condition is presented in terms of linear matrix inequalities (LMIs) and cone complement linearization (CCL) methods. A numerical example is given to demonstrate the effectiveness of the proposed composite control scheme.

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