Adaptive Systems with Reduced Models by Petros A. Ioannou, Petar V. Kokotovic

By Petros A. Ioannou, Petar V. Kokotovic

Show description

Read Online or Download Adaptive Systems with Reduced Models PDF

Similar control systems books

Modeling and Control of Complex Physical Systems: The Port-Hamiltonian Approach

Strength alternate is a tremendous beginning of the dynamics of actual structures, and, for this reason, within the research of advanced multi-domain structures, methodologies that explicitly describe the topology of strength exchanges are instrumental in structuring the modeling and the computation of the system's dynamics and its regulate.

Intelligent Diagnosis and Prognosis of Industrial Networked Systems (Automation and Control Engineering)

In an period of extensive festival the place plant working efficiencies has to be maximized, downtime as a result of equipment failure has develop into extra high priced. to chop working expenses and raise sales, industries have an pressing have to expect fault development and final lifespan of business machines, methods, and structures.

Fault Detection and Diagnosis in Engineering Systems

That includes a model-based method of fault detection and prognosis in engineering platforms, this publication includes updated, useful details on fighting product deterioration, functionality degradation and significant equipment harm. ;College or college bookstores may possibly order 5 or extra copies at a unique scholar expense.

Additional resources for Adaptive Systems with Reduced Models

Sample text

94) i] and A=diag(Xi). 97) S W S 8 ffi AW S where y(0) = 0, Zs(0) = O, Ws(0) = 0. 99) where ~ ~ [ ( ~ . ( t ) - a . (t)-b_),(b(t)-b s l 1 ) T ] , and v = [y,~T]T, s s P ffi[U,Ws] . 92) and el, ¢, T are the output and parameter errors, respectively. 13) with E = 0 and, similarly as before, obtain the following result. 105) =gf m2 fl where gf -- IIA;lll IIAflBf II I[hll IIRII T~2 . 2,6, PARAMETERIZED ADAPTIVE OBSERVER The parameterlzed adaptive observer [ii],[12] is based on a state repre- sentatlon of the plant in which the unknown parameters are contained in an algebraic equation and an error criterion is defined.

3,1, CHARACTERIZATION DISCRETE-TIME IDENTIFIERS OF THE MISMATCH Linear discrete systems possessing the two-time scale property analogous to the continuous systems analyzed in Chapter 2, have m fast eigenvalues 0(~) and n slow eigenvalues 0(1). +l>j +r,>,l Lb j u (k) where P is a small positive parameter, (3. I) The states x(k) and z(k) are n and m vectors and u(k), y(k) are the scalar input and output, respectively. The permutation and/or scaling of states necessary to put two-time-scale continuous systems into specific forms is discussed in [2],[3].

12') that the unknown parameters as,b s are functions of B. 12). 16) where p~(k) = [al(k) ... ~n(k) bl(k) ... bn(k)], 8 (k-l) = [yp(k-l) ... yp(k-n) P u(k-l) ... 18) 43 and yp(k), y~(k)_ are the a posteriori and a priori output of the estimation model, respectively, at the instant k. 5, 1~i starting with an arbitrary positive definite matrix Fp(ko). 22) is not exponentially stable. , Re(H(z)} > 0, Vz : Izl =i. The robustness of this identifier wlth respect to parasltlcs Is established as follows.

Download PDF sample

Rated 4.05 of 5 – based on 18 votes