New PDF release: Adaptive Control of Systems with Actuator Failures

By Gang Tao PhD, Shuhao Chen, Xidong Tang, Suresh M. Joshi PhD (auth.)

ISBN-10: 1447137582

ISBN-13: 9781447137580

ISBN-10: 1849969175

ISBN-13: 9781849969178

When an actuator fails, chaos or calamity can frequently ensue.

It is as the actuator is the ultimate step within the keep an eye on chain, while the keep watch over system’s directions are made bodily actual that failure could be so vital and difficult to make amends for. whilst the character or position of the failure is unknown, the offsetting of consequent process uncertainties turns into much more awkward.

Adaptive regulate of structures with Actuator Failures facilities on counteracting events within which unknown keep an eye on inputs turn into indeterminately unresponsive over an doubtful time period by way of adapting the responses of final sensible actuators. either "lock-in-place" and varying-value mess ups are handled. the implications awarded demonstrate:

• the lifestyles of nominal plant-model matching controller constructions with linked matching stipulations for all attainable failure patterns;

• the alternative of a fascinating adaptive controller structure;

• derivation of novel mistakes types within the presence of failures;

• the layout of adaptive legislation permitting controllers to answer mixtures of uncertainties stemming from activator mess ups and method parameters.

Adaptive keep an eye on of structures with Actuator Failures could be of importance to manage engineers usually and particularly to either teachers and business practitioners engaged on safety-critical platforms or these during which full-blown fault id and prognosis is both too time eating or too expensive.

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Extra info for Adaptive Control of Systems with Actuator Failures

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28) for j = 1, . . , m, i = 0, 1, . . , m0 . Suppose there are p failed actuators, that is, uj (t) = u ¯j , j = j1 , . . , jp , 1 ≤ p ≤ m − 1, at time t ∈ (Ti , Ti+1 ) (with i = i(p) ≤ p because there may be more than one actuator failing at the same time Ti ). ,jp = AM x(t) + bM r(t) + bM 1 k˜T (t)x(t) + k˜2j (t)r(t) + k˜3j (t) . ,jp 1 T (t)x(t) + k˜2j (t)r(t) + k˜3j (t) . 30) k˜1j ∗ ks2j Consider the positive definite function Vp (e, k˜1j , k˜2j , k˜3j , j = j1 , . . 1 Fundamental Issues and Solutions 23 for any constant Q ∈ Rn×n such that Q = QT > 0, Γ1j ∈ Rn×n is constant T such that Γ1j = Γ1j > 0, γ2j > 0, and γ3j > 0 are constant, j = 1, .

144) for i = 1, . . , m1 , j = 1, . . , m2 . 1, we let Ti be the time when actuators fail, i = 1, 2, . . , m0 , m0 ≤ m − 2 (note that m0 42 Chapter 2 State Feedback Designs for State Tracking may be equal to m1 − 1 if those m1 − 1 actuators in the first group of u = [u11 , . . , u1m1 , u21 , . . , u2m2 ]T fail one by one first). Over the intervals (Ti , Ti+1 ), i = 0, 1, . . , m0 , with T0 = 0 and Tm0 +1 = ∞, the plant-model matching parameters K1∗ , K2∗ , and k3∗ are constant. 144), we have V˙ p1 p2 = −eT (t)Qe(t) ≤ 0, t ∈ (Ti(p) , Ti(p)+1 ), i(p) ≤ p = p1 + p2 .

M} and 0 ≤ p < m. This is the basic existence assumption for a nominal solution. The key task of actuator failure compensation control is to adaptively adjust the remaining controls to achieve the desired performance when there are up to m − 1 unknown actuator failures, without the knowledge of the system parameters. 3) where AM ∈ Rn×n , bM ∈ Rn are known constant matrices such that all the eigenvalues of AM are in the open left-half complex plane, and r(t) is bounded and piecewise continuous.

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Adaptive Control of Systems with Actuator Failures by Gang Tao PhD, Shuhao Chen, Xidong Tang, Suresh M. Joshi PhD (auth.)


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