Method for tracking third-order strict feedback chaotic trajectory based on global integral sliding mode
An integral sliding mode and trajectory tracking technology, which is applied in the direction of instruments, adaptive control, control/regulation systems, etc., to achieve the effect of increasing speed and good robustness
- Summary
- Abstract
- Description
- Claims
- Application Information
AI Technical Summary
Problems solved by technology
Method used
Image
Examples
specific Embodiment 1
[0058] The specific process is as Figure 8 Shown:
[0059] Step 1: According to the state equation and expected trajectory of the third-order strict feedback chaotic system, a trajectory tracking error system is established;
[0060] The third-order strict feedback chaotic system is multi-scroll Jerk chaotic system. Multi-volume Jerk chaotic system with modeling uncertainties and external disturbance signals, the state equation is:
[0061]
[0062] Among them, f 1 (x)=-x 1 -x 2 -0.6x 3 +sgn(x 1 )+sgn(x 1 +2)+sgn(x 1 -2), modeling uncertain △f 1 (x) is set to △f 1 (x)=0.6sin(x 2 )sin(x 3 ), due to |△f 1 (x)|≤d 1 , then d 1 =0.6, the external interference signal d(t) is set as d(t)=0.6cos(2t), because |d(t)|≤d 2 , then d 2 = 0.6. The initial state of the multi-scroll Jerk chaotic system is set to x 1 (0)=1, x 2 (0)=1, x 3 (0)=0.8.
[0063] Multi-scroll Jerk chaotic system state variable x 1 The expected trajectory of x d =sin(ωt), state variable x 2...
specific Embodiment 2
[0085] The specific process is as Figure 8 Shown:
[0086] Step 1: According to the state equation and expected trajectory of the third-order strict feedback chaotic system, a trajectory tracking error system is established;
[0087] The third-order strict feedback chaotic system is Genesio-Tesi chaotic system. For a Genesio-Tesi chaotic system with modeling uncertainties and external disturbance signals, the state equation is:
[0088]
[0089] Among them, f 1 (x)=-6x 1 -2.92x 2 -1.2x 3 +x 1 2 , modeling uncertainty △f 1 (x) is set to △f 1 (x)=0.6sin(x 1 )cos(x 2 ), due to |△f 1 (x)|≤d 1 , then d 1 =0.6, the external interference signal d(t) is set as d(t)=0.4cos(3t), because |d(t)|≤d 2 , then d 2 = 0.4. The initial state of the Genesio-Tesi chaotic system is set to x 1 (0)=1, x 2 (0)=1, x 3 (0)=0.8.
[0090] Genesio-Tesi chaotic system state variable x 1 The expected trajectory of x d =sin(ωt), state variable x 2 The expected trajectory of state...
PUM
Abstract
Description
Claims
Application Information
- R&D Engineer
- R&D Manager
- IP Professional
- Industry Leading Data Capabilities
- Powerful AI technology
- Patent DNA Extraction
Browse by: Latest US Patents, China's latest patents, Technical Efficacy Thesaurus, Application Domain, Technology Topic, Popular Technical Reports.
© 2024 PatSnap. All rights reserved.Legal|Privacy policy|Modern Slavery Act Transparency Statement|Sitemap|About US| Contact US: help@patsnap.com