additional outputs gives more access to system states. It is well known that A primary concern in the design of the dynamical system is the stability optimal LQ regulators with complete state feedback have large stability problem. The stability of the system in ( I ) can be determined by either margins. It is also noted that additional sensors may introduce new directly computing the roots of the scalar Characteristic polynomial undesirable effects. L. S. Shieh and S. Sacheti, "A matrix in the block Schwarz form and the stability Contr., "Some sufficient and some necessary conditions for the stability of multivariable systems." ASME J. Dynom. Sp. "eosuement Contr.. vol. 100, pp. 214-218, 1978. S . K. Shirvastava and S. Pradeep. "Stability of multidimensional linear time-L. s. Shieh. Y. T. Tsay. and s. Barnett, "A review of some matrix continued-varying systems," J. Guidance, Contr. Dynam.. vol. 8. pp. 579-583, 1985. fraction descriptions and their applications to the stability of multivariable control S . Barnen, Polynomials and Linear Control Systenzs. New York: Marcel systems," IMA J. " o h . Contr. Inform., vol. 2, pp. 1-23, 1985. Dekker, 1983. P. C. Hughes and R. E. Skelton, "Controllability and observability of linear matrix-second-order systems," J.
A new procedure is presented for the design of discrete linear quadratic regulators in the frequency domain with eigenvalue placement at exact locations and/or within specified regions of the complex ;-plane. The method utilizes the frequency domain optirnality conditions lor achieving the desired pole placement. Also. the proposed procedure is sequential and enables the retention of some stable open-loop eigenvalues and associated eigenvectors in the closed-loop system. An illustrative example is provided to demonstrate the eRectiveness of the proposed method.
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