Linear Control Theory: The State Space Approach

Incorporating recent developments in control and systems research, Linear Control Theory provides the fundamental theoretical background needed to fully exploit control system design software. This logically--structured text opens with a detailed treatment of the relevant aspects of the state space analysis of linear systems. End--of--chapter problems facilitate the learning process by encouraging the student to put his or her skills into practice. Features include: aeo The use of an easy to understand matrix variational technique to develop the time--invariant quadratic and LQG controllers aeo A step--by--step introduction to essential mathematical ideas as they are needed, motivating the reader to venture beyond basic concepts aeo The examination of linear system theory as it relates to control theory aeo The use of the PBH test to characterize eigenvalues in the state feedback and observer problems rather than its usual role as a test for controllability or observability aeo The development of model reduction via balanced realization aeo The employment of the L2 gain as a basis for the development of the H??? controller for the design of controllers in the presence of plant model uncertainty Senior undergraduate and postgraduate control engineering students and practicing control engineers will appreciate the insight this self--contained book offers into the intelligent use of today s control system software tools.