Chapter Nine. Certainty Equivalence Design with Passive Identifiers

2010 ◽  
pp. 150-165
1989 ◽  
Vol 13 (5) ◽  
pp. 405-412 ◽  
Author(s):  
Rajeev Agrawal ◽  
Demosthenis Teneketzis

2015 ◽  
Vol 48 (11) ◽  
pp. 860-865 ◽  
Author(s):  
Alexander Barth ◽  
Markus Reichhartinger ◽  
Johann Reger ◽  
Martin Horn ◽  
Kai Wulff

Author(s):  
Jean Walrand

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.


Author(s):  
Ghulam Murtaza ◽  
Aamir I Bhatti ◽  
Yasir A Butt

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.


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

1986 ◽  
Vol 23 (A) ◽  
pp. 383-388 ◽  
Author(s):  
Peter Whittle

A risk-sensitive certainty equivalence principle is deduced, expressed in Theorem 1, for a model with linear dynamics and observation rules, Gaussian noise and an exponential-quadratic criterion of the form (2). The senses in which one is now to understand certainty equivalence and the separation principle are discussed.


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