Parameter space design of robust control systems

Các hệ thống tự động: bất định và điều khiển

“…Co thg kg t&i mQt vai nghanh cua hirong nay nhir di'eu khien tlf thfch nghi (adaptive control) [6], [8], di'eu khien ben virng (robust control) [1], [2], [5], [11], [17], ket hop hai phtrong phap tlf thich nghi va ben virng (robust -adaptive control) [13], [18], dieu khien mfr [10]' dieu khign thong minh (intelligent control) [4] v.v ...…”

Partial Pole Placement with Controller Optimization

“…It will be shown that constraint (1) is linear (and hence convex) in the unknowns. However, the set C s ⊂ R[s] in Problem 2 above is not a convex set for m ≥ 3 (see [15], [14]) and hence the optimization implied in Problem 2 is not convex for m ≥ 3. To overcome this difficulty, we replace C s with an inner convex approximation of C s .…”

“…Pole placement within arbitrary pre-specified subsets of the complex plane was studied by [12], [13] and references therein. It is well known that the set of polynomial coefficients corresponding to stable root locations, might not be convex (see [14], [15]). To overcome this non-convexity, in a series of papers (see [14], [3], [4] and the references therein) ellipsoidal inner approximations and LMI inner approximations for the polynomial coefficient stability region have been derived.…”

Analysis of Interval Control System Robust Quality Indices on the Base of Root and Coefficient Methods

“…Robust quality indices can be clearly analyzed with the help of root approach, which is based on an examination of ICP poles, migrating inside their allocation areas of complex plane (figure 1). There are some methods of robust quality indices (the degree of robust stability α and the degree of robust oscillation μ=tgφ) analysis, which are based on an interval characteristic polynomial (ICP) roots examining [1][2][3][4][5][6][7][8][9][10]. A problem of robust root quality analysis for an ICS with interval uncertainty of ICP coefficients can be solved by analyzing vertices of polytope P 10.…”