Analysis of time-varying control strategies for optimal disturbance rejection and robustness

1992 ◽  
Vol 37 (11) ◽  
pp. 1734-1745 ◽  
Author(s):  
H. Chapellat ◽  
M. Dahleh
Robotica ◽  
2020 ◽  
pp. 1-26
Author(s):  
Tao Xue ◽  
ZiWei Wang ◽  
Tao Zhang ◽  
Ou Bai ◽  
Meng Zhang ◽  
...  

SUMMARY Accurate torque control is a critical issue in the compliant human–robot interaction scenario, which is, however, challenging due to the ever-changing human intentions, input delay, and various disturbances. Even worse, the performances of existing control strategies are limited on account of the compromise between precision and stability. To this end, this paper presents a novel high-performance torque control scheme without compromise. In this scheme, a new nonlinear disturbance observer incorporated with equivalent control concept is proposed, where the faster convergence and stronger anti-noise capability can be obtained simultaneously. Meanwhile, a continuous fractional power control law is designed with an iteration method to address the matched/unmatched disturbance rejection and global finite-time convergence. Moreover, the finite-time stability proof and prescribed control performance are guaranteed using constructed Lyapunov function with adding power integrator technique. Both the simulation and experiments demonstrate enhanced control accuracy, faster convergence rate, perfect disturbance rejection capability, and stronger robustness of the proposed control scheme. Furthermore, the evaluated assistance effects present improved gait patterns and reduced muscle efforts during walking and upstair activity.


2020 ◽  
Vol 09 (01) ◽  
pp. 23-34
Author(s):  
Xiaofeng Chai ◽  
Jian Liu ◽  
Yao Yu ◽  
Jianxiang Xi ◽  
Changyin Sun

In this paper, we study the practical fixed-time event-triggered time-varying formation tracking problem of leader-follower multi-agent systems with multi-dimensional dynamics. Fixed-time event-triggered control schemes with continuous communication and intermittent communication are developed, respectively. Continuous communication and measurement are avoided, and computation cost is reduced greatly in the latter scheme. And the settling time is to be specified regardless of initial states of agents. Meanwhile, tracking errors are adjustable as desired with expected settling time. It is demonstrated that time-varying formation tracking can be achieved under the two proposed control schemes and Zeno behavior can be excluded. Finally, numerical examples are provided to illustrate the effectiveness of the proposed control strategies.


2004 ◽  
Vol 10 (3) ◽  
pp. 343-357 ◽  
Author(s):  
Liang-An Zheng

This paper presents a robust disturbance rejection method for a class of flexible mechanical vibrating systems with time-varying parameter perturbations subject to persistent excitation. The control input is split into two parts as a common strategy: one is obtained from the regulator design that is responsible for primary stabilization; the other is assigned to cancel the effect of the persistent excitation. The states of controlled dynamics and excitation dynamics are estimated by a Kalman filter. Then, taking into account plant variations, a robust stability condition is proposed to ensure the stability of the resulting closed system. It is shown that, using the proposed stability condition, the designed controller can effectively suppress the persistent excitation and keep the flexible mechanical system from the possibility of instability caused by spillover and time-varying parameter perturbations. Finally, two examples are given to demonstrate the use of the design method.


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