LEADER 05098nam 22006855 450 001 9910299685403321 005 20200702071925.0 010 $a81-322-2238-5 024 7 $a10.1007/978-81-322-2238-5 035 $a(CKB)3710000000332430 035 $a(EBL)1968570 035 $a(OCoLC)899495737 035 $a(SSID)ssj0001424359 035 $a(PQKBManifestationID)11821634 035 $a(PQKBTitleCode)TC0001424359 035 $a(PQKBWorkID)11383619 035 $a(PQKB)11301507 035 $a(DE-He213)978-81-322-2238-5 035 $a(MiAaPQ)EBC1968570 035 $a(PPN)183518217 035 $a(EXLCZ)993710000000332430 100 $a20150105d2015 u| 0 101 0 $aeng 135 $aur|n|---||||| 181 $ctxt 182 $cc 183 $acr 200 10$aFrequency-Shaped and Observer-Based Discrete-time Sliding Mode Control$b[electronic resource] /$fby Axaykumar Mehta, Bijnan Bandyopadhyay 205 $a1st ed. 2015. 210 1$aNew Delhi :$cSpringer India :$cImprint: Springer,$d2015. 215 $a1 online resource (108 p.) 225 1 $aSpringerBriefs in Applied Sciences and Technology,$x2191-530X 300 $aDescription based upon print version of record. 311 $a81-322-2237-7 320 $aIncludes bibliographical references at the end of each chapters and index. 327 $aIntroduction -- Preliminaries of Sliding Mode Control -- Multirate Output Feedback Frequency Shaped SMC: A Switching Type Control Law -- Multirate Output Feedback Frequency Shaped SMC : A Non-Switching Type Control Law -- Reduced Order Observer Design using Duality to Sliding Surface Design. 330 $aIt is well established that the sliding mode control strategy provides an effective and robust method of controlling the deterministic system due to its well-known invariance property to a class of bounded disturbance and parameter variations. Advances in microcomputer technologies have made digital control increasingly popular among the researchers worldwide. And that led to the study of discrete-time sliding mode control design and its implementation. This brief presents, a method for multi-rate frequency shaped sliding mode controller design based on switching and non-switching type of reaching law. In this approach, the frequency dependent compensator dynamics are introduced through a frequency-shaped sliding surface by assigning frequency dependent weighing matrices in a linear quadratic regulator (LQR) design procedure. In this way, the undesired high frequency dynamics or certain frequency disturbance can be eliminated. The states are implicitly obtained by measuring the output at a faster rate than the control. It is also known that the vibration control of smart structure is a challenging problem as it has several vibratory modes. So, the frequency shaping approach is used to suppress the frequency dynamics excited during sliding mode in smart structure. The frequency content of the optimal sliding mode is shaped by using a frequency dependent compensator, such that a higher gain can be obtained at the resonance frequencies. The brief discusses the design methods of the controllers based on the proposed approach for the vibration suppression of the intelligent structure. The brief also presents a design of discrete-time reduced order observer using the duality to discrete-time sliding surface design. First, the duality between the coef?cients of the discrete-time reduced order observer and the sliding surface design is established and then, the design method for the observer using Riccati equation is explained. Using the proposed method, the observer for the Power System Stabilizer (PSS) for Single Machine In?nite Bus (SMIB) system is designed and the simulation is carried out using the observed states. The discrete-time sliding mode controller based on the proposed reduced order observer design method is also obtained for a laboratory experimental servo system and veri?ed with the experimental results. 410 0$aSpringerBriefs in Applied Sciences and Technology,$x2191-530X 606 $aAutomatic control 606 $aVibration 606 $aDynamics 606 $aDynamics 606 $aControl and Systems Theory$3https://scigraph.springernature.com/ontologies/product-market-codes/T19010 606 $aVibration, Dynamical Systems, Control$3https://scigraph.springernature.com/ontologies/product-market-codes/T15036 615 0$aAutomatic control. 615 0$aVibration. 615 0$aDynamics. 615 0$aDynamics. 615 14$aControl and Systems Theory. 615 24$aVibration, Dynamical Systems, Control. 676 $a624.171 700 $aMehta$b Axaykumar$4aut$4http://id.loc.gov/vocabulary/relators/aut$0720559 702 $aBandyopadhyay$b Bijnan$4aut$4http://id.loc.gov/vocabulary/relators/aut 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910299685403321 996 $aFrequency-Shaped and Observer-Based Discrete-time Sliding Mode Control$92507762 997 $aUNINA