By MacKenzie, D.N.

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Vol. AC-28, pp. 585–600, May 1985. H H Jie Chen (S’87–M’89–SM’98) was born in The People’s Republic of China in 1963. S. E. A. D. degree in electrical engineering, all from The University of Michigan, Ann Arbor, in 1985, 1987, and 1990, respectively. He teaches in the field of systems and control, and signal processing. From 1990 to 1993, he was with School of Aerospace Engineering and School of Electrical and Computer Engineering, the Georgia Institute of Technology, Atlanta. He joined the University of California, Riverside, in 1994, where he has been a Professor since 1999, and Professor and Chair of Electrical Engineering, since 2001.

Where and are real, matrices and in statement Even if (ii) are complex in general. The equivalence holds true without when nonstrict inequalities assuming controllability of are replaced by strict inequalities and in (13), (14), and has no eigenvalues I such that and . B. Robust Finite Frequency Condition The objective of this section is to “robustify” the finite frequency condition in Theorem 1. We consider the case where , and depend on an uncertain parameter and give a (sufficient) condition for the finite frequency condition to hold for all belonging to a known set .

Consider the class of functions in VI. CONCLUSION In this paper, we have studied -type optimal tracking and regulation control problems, which attempt to minimize jointly the tracking error and plant input energy, and the output response along with input energy, respectively. These problems constitute an outgrowth of the classical optimal control problems, with a central goal focused on the role of control effort, an issue one invariably has to confront with in practical designs. Our primary objective has been to investigate the impact, if any, of control effort on the best achievable performance, and how such an impact may arise in a fundamental way independent of controller design and control structures.

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