scholarly journals Risk Matters: Breaking Certainty Equivalence

2020 ◽  
Author(s):  
Juan Carlos Parra-Alvarez ◽  
Hamza Polattimur ◽  
Olaf Posch
Keyword(s):  
Certainty Equivalence

scholarly journals Certainty equivalence control with forcing: revisited

1989 ◽  
Vol 13 (5) ◽  
pp. 405-412 ◽  
Author(s):  
Rajeev Agrawal ◽  
Demosthenis Teneketzis
Keyword(s):  
Certainty Equivalence

scholarly journals Lyapunov-design for a super-twisting sliding-mode controller using the certainty-equivalence principle

2015 ◽  
Vol 48 (11) ◽  
pp. 860-865 ◽  
Author(s):  
Alexander Barth ◽  
Markus Reichhartinger ◽  
Johann Reger ◽  
Martin Horn ◽  
Kai Wulff
Keyword(s):  
Equivalence Principle ◽  
Sliding Mode ◽  
Sliding Mode Controller ◽  
Certainty Equivalence ◽  
Lyapunov Design

scholarly journals Route Planning: B

2021 ◽  
pp. 259-269
Author(s):  
Jean Walrand
Keyword(s):  
Route Planning ◽  
The State ◽  
Control Problems ◽  
Linear Quadratic ◽  
Linear Quadratic Gaussian ◽  
Certainty Equivalence ◽  
Markov Decision Problems ◽  
Markov Decision ◽  
The Cost ◽  
Elegant Solution

AbstractThere is a class of control problems that admit a particularly elegant solution: the linear quadratic Gaussian (LQG) problems. In these problems, the state dynamics and observations are linear, the cost is quadratic, and the noise is Gaussian. Section 14.1 explains the theory of LQG problems when one observes the state. Section 14.2 discusses the situation when the observations are noisy and shows the remarkable certainty equivalence property of the solution. Section 14.3 explains how noisy observations affect Markov decision problems.

Super twisting controller-based unified FDI and FTC scheme for air path of diesel engine using the certainty equivalence principle

2017 ◽  
Vol 232 (12) ◽  
pp. 1623-1633 ◽  
Author(s):  
Ghulam Murtaza ◽  
Aamir I Bhatti ◽  
Yasir A Butt
Keyword(s):  
Diesel Engine ◽  
Equivalence Principle ◽  
Fault Tolerant ◽  
Sliding Mode ◽  
Fault Detection And Isolation ◽  
Exhaust Emission ◽  
Certainty Equivalence ◽  
Strongly Coupled ◽  
Engine Model ◽  
Lyapunov Stability Criterion

This paper proposes a combination of higher order sliding mode and adaptive control for unified fault detection and isolation and fault tolerant control (FTC) of the air path of a diesel engine. Current diesel engines are equipped with features such as variable geometry turbochargers (VGT) and exhaust gas recirculation (EGR) for exhaust emission control. Since EGR and VGT systems are present in the exhaust channel, they are strongly coupled and are prone to both structured as well as unstructured faults. The proposed controller detects and estimates the structured faults by means of adaptation laws, designed by making use of the certainty equivalence principle. Fault effects are compensated by repositioning the actuators. This allows relaxation of the boundedness condition of the super twisting algorithm, as sliding mode controller gains are required to dominate the unstructured parts only, which consequently reduces chattering. A nonlinear multi-input multi-output reduced state control-oriented model has been employed for working out the FTC strategy for EGR and VGT actuators. The stability of the overall system has been analysed using the Lyapunov stability criterion. Faults and proposed controllers are simulated using a fully validated industrial scale diesel engine model to establish the effectiveness of the algorithm.

scholarly journals Consumption: Beyond Certainty Equivalence

10.3386/w2496 ◽  
1988 ◽  
Author(s):  
Olivier Blanchard ◽  
N. Gregory Mankiw
Keyword(s):  
Certainty Equivalence
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