By Nikolai Michailovich Filatov, Heinz Unbehauen
This monograph demonstrates how the functionality of varied recognized adaptive controllers may be superior considerably utilizing the twin impression. The alterations to include twin keep watch over are discovered individually and independently of the most adaptive controller with no complicating the algorithms. a brand new bicriterial method for twin keep an eye on is constructed and utilized to numerous kinds of renowned linear and nonlinear adaptive controllers. useful functions of the designed controllers to a number of real-time difficulties are provided. This monograph is the 1st e-book delivering a whole exposition at the twin regulate challenge from the inception within the early Nineteen Sixties to the current state-of-the-art aiming at scholars and researchers in adaptive regulate in addition to layout engineers in undefined.
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5), all stochastic variables should be replaced by their expectations. The resulting deterministic feedback controller is denoted as u(k ) = ϕ k [ x (k )] . 1. , N-1; N can assume values zon. , ∞}. II At every control instant k, a sequence of control All predictive controllers. , u(k+N) that optimizes a cost func- the case of N → ∞, the contion is generated, but only u(k) is applied, where trollers coincide with type I. , ∞}. , ∞. , also controllers of type I that ence signal is not required. generate constant feedback.
4. Classification of adaptive controllers of type III (The bicriterial approach allows the design of dual versions of all type III controllers. 2. Dual Effect and Neutral Systems An example of a system where the dual effect cannot appear is considered below. 2), c is an unknown parameter with the initial estimate cˆ(0) and variance of the estimate P(0), and the disturbance ξ (k ) has the properties as in eq. 8). This simplified model is an integrator with an unknown additive parameter. 2. Dual Effect and Neutral Systems for control optimization, eq.
At every instant, it is assumed that system will be operating in open loop in the future: numerical difficulties. Approaches that may be considered as specific cases and approximations of the utility cost method. The system is assumed to be without feedback after m steps (mF), or not all outputs will be observable: usually unsolvable problems. Unsolvable analytically as well as numerically. Method is based on approximations of the main cost function and the introduction of an uncertainty index as a second criterion.
Adaptive dual control: theory and applications by Nikolai Michailovich Filatov, Heinz Unbehauen