Multiple-model adaptive control using set-valued observers
نویسندگان
چکیده
A multiple-model adaptive control methodology is proposed that is able to provide stability and performance guarantees, for uncertain linear parameter-varying plants. The identification problem is addressed by taking advantage of recent advances in model falsification using set-valued observers (SVOs). These SVOs provide set-valued estimates of the state of the system, according to its dynamic model. If such estimate is the empty set, the underlying dynamic model is invalidated, and a different controller is connected to the loop. The behavior of the proposed control algorithm is demonstrated in simulation, by resorting to a mass–spring– dashpot system. As a caveat, the computational burden associated with the SVOs can be prohibitive under some circumstances. Copyright © 2013 John Wiley & Sons, Ltd.
منابع مشابه
Peaking Attenuation in High-Gain Observers Using Adaptive Saturation: Application to a Ball and Wheel System
Despite providing robustness, high-gain observers impose a peaking phenomenon, which may cause instability, on the system states. In this paper, an adaptive saturation is proposed to attenuate the undesirable mentioned phenomenon in high-gain observers. A real-valued and differentiable sigmoid function is considered as the saturating element whose parameters (height and slope) are adaptively tu...
متن کاملControlling Nonlinear Processes, using Laguerre Functions Based Adaptive Model Predictive Control (AMPC) Algorithm
Laguerre function has many advantages such as good approximation capability for different systems, low computational complexity and the facility of on-line parameter identification. Therefore, it is widely adopted for complex industrial process control. In this work, Laguerre function based adaptive model predictive control algorithm (AMPC) was implemented to control continuous stirred tank rea...
متن کاملA Set-Valued Approach to FDI and FTC: Theory and Implementation Issues
A complete methodology to design robust Fault Detection and Isolation (FDI) filters and Fault Tolerant Control (FTC) schemes for Linear Time-Varying (LTV) systems is proposed. The paper takes advantage of the recent advances in model invalidation using Set-Valued Observers (SVOs) that led to the development of FDI methods for uncertain linear time-varying systems, with promising results in term...
متن کاملSet-valued Observer-based Active Fault-tolerant Model Predictive Control
This paper proposes an integrated actuator and sensor active fault-tolerant model predictive control (FTMPC) scheme. In this scheme, fault detection (FD) is implemented by using a set-valued observer, fault isolation (FI) is done by set manipulations and faulttolerant control (FTC) is carried out through the design of a robust model predictive control (MPC) law. In this paper, a set-valued obse...
متن کاملIdentification and Convergence Analysis of a Class of Continuous-Time Multiple-Model Adaptive Estimators
Abstract: This paper discusses the identification and convergence, in a deterministic setting, of a class of Continuous-Time Multiple-Model Adaptive Estimators (CT-MMAE) for stateaffine multiple-input-multiple-output systems with parametric uncertainty. The CT-MMAE is composed by a dynamic weighting signal generator and a bank of local continuous-time observers where each observer is designed u...
متن کامل