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Global optimization technique for fixed-order control design. (English) Zbl 1096.93013

The paper deals with the application of the global optimization algorithm [Ya. D. Sergeyev, “An information global optimization algorithm with local tuning”, SIAM J. Optim. 5, 858–870 (1995; Zbl 0847.90128)] to the fixed-order control design of the linear time-invariant system \(x'(t)= Ax(t)+ B_1 u_1(t)+ B_2u_2(t)\), \(y_k(t)= C_kx(t)+ D_{k1}u_1(t)+ D_{k2}u_2(t)\), where \(x(t)\in\mathbb{R}^n\) is the state, \(u_1(t)\in \mathbb{R}^{p_1}\) is the disturbance, \(u_2(t)\in\mathbb{R}^{p_2}\) is the control input, \(y_1(t)\in \mathbb{R}^{m_1}\) is the available output and \(y_2(t)\in \mathbb{R}^{m_2}\) is the reference signal. The following three objective functions of the system parameters are considered: the stability degree, the \({\mathcal H}_\infty\)-norm and the \({\mathcal H}_2\)-norm of the transfer matrix function of the closed-loop system.

MSC:

93B40 Computational methods in systems theory (MSC2010)
93B51 Design techniques (robust design, computer-aided design, etc.)
93B36 \(H^\infty\)-control

Citations:

Zbl 0847.90128

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References:

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