Semiglobal ISpS disturbance attenuation with output tracking via direct adaptive design
Shuzhi Sam Ge1, Thanh-Trung Han
1Department of Electrical and Computer Enginering, National University of Singapore, Singapore 117576, Singapore. elegesz@nus.edu.sg
Abstract:
Direct adaptive partial state feedback control is presented to achieve semiglobally input-to-state practically stable (ISpS) disturbance attenuation with output tracking for a class of uncertain time-varying nonlinear systems in which the unmeasured dynamics do not possess a constant disturbance attenuation level (CDAL). Identifying a necessary condition for the existence of a CDAL, direct adaptive neural networks (NNs) control is developed, where the universal approximation property of NNs and the domination design are employed together to overcome the difficulties due to the lack of state information, unknown system nonlinearities, and unknown state-dependent disturbance attenuation gain. The proposed method is coherent in the sense that it is applicable to the case in which a CDAL exists.
Related Concept Videos
PD Controller: Design
Designing a continuous-data controller requires selecting and linking components like adders and integrators, which are fundamental in Proportional,...
PI Controller: Design
Time-Domain Interpretation of PD Control
Consider the example of control of motor torque. Initially, a positive...
Control Systems
At the heart...
Feedback control systems
Linear feedback systems are theoretical models that simplify analysis and design. These systems operate under the principle that their output is directly proportional to their input within certain ranges. For instance, an amplifier in a control system behaves linearly as long as the input signal remains within a specific range. However, most physical systems exhibit inherent nonlinearity...
Second Order systems II
If ζ...
