Self-adaptive fault-tolerant preset performance control method for multiple-input-multiple-output mechanical system
A mechanical system and preset performance technology, applied in the direction of adaptive control, general control system, control/regulation system, etc., can solve problems such as collision, task failure, instability, etc.
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[0138] The present invention uses the second-order nonlinear mechanical system, that is, the two-link manipulator system as the implementation object, and the dynamic parameters are: m 1 =0.5kg, m 2 = 1.5kg, l 1 = 1.0m, l 2 =0.8m, gravitational acceleration g=9.8m / s 2 . The initial value of the joint angle of the second-order manipulator system is set to p(0)=[p 1 (0),p 2 (0)] T =[2,-2] T rad, the initial value of the joint angular velocity of the manipulator system is set to
[0139] Preset performance function α i The relevant parameters of (t) are set as: α i,0 = 4, α i,∞ = 0.1, γ i =0.3;
[0140] The control parameters of the adaptive fault-tolerant preset performance controller are set as: K 1 =diag(0.1,0.1), K 2 =diag(100,100), the initial value and parameter setting of adaptive law are: σ 0 = 0.001;
[0141] Actuator presence faults are set to:
[0142]
[0143] In stable control, the expected tracking trajectory is:
[0144] p d (t)=[p d,1 (...
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