Output Feedback Stabilization of Linear Systems
Output Feedback Stabilization of Linear Systems
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In our eReader you can find the full English version of the book. Read Output Feedback Stabilization of Linear Systems Online - link to read the book on full screen. Our eReader also allows you to upload and read Pdf, Txt, ePub and fb2 books. In the Mini eReder on the page below you can quickly view all pages of the book - Read Book Output Feedback Stabilization of Linear Systems
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(V) x(t) = ax(t) + bx(t-l) + u, y = cx(t) + dx(t-l), u = ky where a, b, c, d, k are real numbers.
Our purpose is to determine the existence of a real number k such that the corresponding characteristic equation of (P) A + (a + kc) + (b + kd)e~ A = (4.1) has only roots in the left half complex plane. Note that ~ ~ ~ ^2~2 with a, b, c, d fixed and c + d * 0, the set of all the coefficients of (4.1) which arise from all possible choices of k e R forms a straight line H = {(a,b)|ad - be - (ad + be)... = 0) (4.2) Now, consider an exponential polynomial equation of the form A + a + be~ A =0 (4.3) 48 Let V a denote the set {(a,b) e R | \ t- a f be~* = implies ReX . In particular, when a = we call the domain of stability of (4.3). Thus, a system (V) is stabilizable if and only if H n P Q x $ . As in the previous chapters, we will study two main problems related to V : (i) the convex a hull of P q and (ii) the characterization of hyperplanes (straiqht lines) which intersect V .
What to read after Output Feedback Stabilization of Linear Systems?
You can find similar books in the "Read Also" column, or choose other free books by Chen, Raymond to read onlineMoreLess
To quickly assess the difficulty of the text, read a short excerpt:
(V) x(t) = ax(t) + bx(t-l) + u, y = cx(t) + dx(t-l), u = ky where a, b, c, d, k are real numbers.
Our purpose is to determine the existence of a real number k such that the corresponding characteristic equation of (P) A + (a + kc) + (b + kd)e~ A = (4.1) has only roots in the left half complex plane. Note that ~ ~ ~ ^2~2 with a, b, c, d fixed and c + d * 0, the set of all the coefficients of (4.1) which arise from all possible choices of k e R forms a straight line H = {(a,b)|ad - be - (ad + be)... = 0) (4.2) Now, consider an exponential polynomial equation of the form A + a + be~ A =0 (4.3) 48 Let V a denote the set {(a,b) e R | \ t- a f be~* = implies ReX . In particular, when a = we call the domain of stability of (4.3). Thus, a system (V) is stabilizable if and only if H n P Q x $ . As in the previous chapters, we will study two main problems related to V : (i) the convex a hull of P q and (ii) the characterization of hyperplanes (straiqht lines) which intersect V .
What to read after Output Feedback Stabilization of Linear Systems?
You can find similar books in the "Read Also" column, or choose other free books by Chen, Raymond to read onlineMoreLess
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